Journal articles: 'Non-compact solutions'

1

Randjbar-Daemi, S., and C. Wetterich. "Kaluza-Klein solutions with non-compact internal spaces." Physics Letters B 166, no. 1 (January 1986): 65–68. http://dx.doi.org/10.1016/0370-2693(86)91156-1.

Full text

APA, Harvard, Vancouver, ISO, and other styles

2

Iofa, M. Z., and L. A. Pando Zayas. "Non-Abelian Fields in Exact String Solutions." Modern Physics Letters A 12, no. 13 (April 30, 1997): 913–24. http://dx.doi.org/10.1142/s0217732397000947.

Full text

Abstract:

Within the framework of "anomalously gauged" Wess–Zumino–Witten (WZW) models, we construct solutions which include non-Abelian fields. Both compact and noncompact groups are discussed. In the case of compact groups, as an example of background containing non-Abelian fields, we discuss conformal theory on the SO(4)/SO(3) coset, which is the natural generalization of the 2-D monopole theory corresponding to the SO(3)/SO(2) coset. In noncompact case, we consider examples with SO(2, 1)/SO(1, 1) and SO(3, 2)/SO(3, 1) cosets.

APA, Harvard, Vancouver, ISO, and other styles

3

Elqorachi, E., M. Akkouchi, A. Bakali, and B. Bouikhalene. "Badora's Equation on Non-Abelian Locally Compact Groups." gmj 11, no. 3 (September 2004): 449–66. http://dx.doi.org/10.1515/gmj.2004.449.

Full text

Abstract:

Abstract This paper is mainly concerned with the following functional equation where 𝐺 is a locally compact group, 𝐾 a compact subgroup of its morphisms, and μ is a generalized Gelfand measure. It is shown that continuous and bounded solutions of this equation can be expressed in terms of μ-spherical functions. This extends the previous results obtained by Badora (Aequationes Math. 43: 72–89, 1992) on locally compact abelian groups. In the case where 𝐺 is a connected Lie group, we characterize solutions of the equation in question as joint eigenfunctions of certain operators associated to the left invariant differential operators.

APA, Harvard, Vancouver, ISO, and other styles

4

PETEAN, Jimmy, and Juan Miguel RUIZ. "Stable solutions of the Yamabe equation on non-compact manifolds." Journal of the Mathematical Society of Japan 68, no. 4 (October 2016): 1473–86. http://dx.doi.org/10.2969/jmsj/06841473.

Full text

APA, Harvard, Vancouver, ISO, and other styles

5

CHANDLER, G. A., and I. G. GRAHAM. "Uniform Convergence of Galerkin Solutions to Non-compact Integral Operator Equations." IMA Journal of Numerical Analysis 7, no. 3 (1987): 327–34. http://dx.doi.org/10.1093/imanum/7.3.327.

Full text

APA, Harvard, Vancouver, ISO, and other styles

6

Daskalopoulos, Panagiota, John King, and Natasa Sesum. "Extinction profile of complete non-compact solutions to the Yamabe flow." Communications in Analysis and Geometry 27, no. 8 (2019): 1757–98. http://dx.doi.org/10.4310/cag.2019.v27.n8.a4.

Full text

APA, Harvard, Vancouver, ISO, and other styles

7

Zubelevic, Oleg. "On Periodic Solutions to Constrained Lagrangian System." Canadian Mathematical Bulletin 63, no. 1 (December 18, 2019): 242–55. http://dx.doi.org/10.4153/s0008439519000456.

Full text

APA, Harvard, Vancouver, ISO, and other styles

8

de Andrade, Bruno, and Claudio Cuevas. "Compact almost automorphic solutions to semilinear Cauchy problems with non-dense domain." Applied Mathematics and Computation 215, no. 8 (December 2009): 2843–49. http://dx.doi.org/10.1016/j.amc.2009.09.025.

Full text

APA, Harvard, Vancouver, ISO, and other styles

9

Molica Bisci, Giovanni, and Luca Vilasi. "Isometry-invariant solutions to a critical problem on non-compact Riemannian manifolds." Journal of Differential Equations 269, no. 6 (September 2020): 5491–519. http://dx.doi.org/10.1016/j.jde.2020.04.013.

Full text

APA, Harvard, Vancouver, ISO, and other styles

10

de Bouard, Anne, and Yvan Martel. "Non existence of L2?compact solutions of the Kadomtsev?Petviashvili II equation." Mathematische Annalen 328, no. 3 (March 1, 2004): 525–44. http://dx.doi.org/10.1007/s00208-003-0498-6.

Full text

APA, Harvard, Vancouver, ISO, and other styles

11

Cardinali, Tiziana, and Paola Rubbioni. "Impulsive semilinear differential inclusions: Topological structure of the solution set and solutions on non-compact domains." Nonlinear Analysis: Theory, Methods & Applications 69, no. 1 (July 2008): 73–84. http://dx.doi.org/10.1016/j.na.2007.05.001.

Full text

APA, Harvard, Vancouver, ISO, and other styles

12

LOGINOV, E. K. "ENGLERT-TYPE SOLUTIONS OF d = 11 SUPERGRAVITY." International Journal of Geometric Methods in Modern Physics 10, no. 04 (March 6, 2013): 1320005. http://dx.doi.org/10.1142/s0219887813200053.

Full text

Abstract:

A family of geometries on S7 arise as solutions of the classical equations of motion in 11 dimensions. In addition to the conventional Riemannian geometry and the two exceptional Cartan–Schouten compact flat geometries with torsion, one can also obtain non-flat geometries with torsion. This torsion is given locally by the structure constants of a non-associative geodesic loop in the affinely connected space.

APA, Harvard, Vancouver, ISO, and other styles

13

Chousurin, R., T. Mouktonglang, B. Wongsaijai, and K. Poochinapan. "Performance of compact and non-compact structure preserving algorithms to traveling wave solutions modeled by the Kawahara equation." Numerical Algorithms 85, no. 2 (May 25, 2020): 523–41. http://dx.doi.org/10.1007/s11075-019-00825-4.

Full text

APA, Harvard, Vancouver, ISO, and other styles

14

Avery, Philip, and Mahen Mahendran. "Analytical Benchmark Solutions for Steel Frame Structures Subject to Local Buckling Effects." Advances in Structural Engineering 3, no. 3 (July 2000): 215–29. http://dx.doi.org/10.1260/1369433001502157.

Full text

Abstract:

Application of “advanced analysis” methods suitable for non-linear analysis and design of steel frame structures permits direct and accurate determination of ultimate system strengths, without resort to simplified elastic methods of analysis and semi-empirical specification equations. However, the application of advanced analysis methods has previously been restricted to steel frames comprising only compact sections that are not influenced by the effects of local buckling. A research project has been conducted with the aim of developing concentrated plasticity methods suitable for practical advanced analysis of steel frame structures comprising non-compact sections. This paper contains a comprehensive set of analytical benchmark solutions for steel frames comprising non-compact sections, which can be used to verify the accuracy of simplified concentrated plasticity methods of advanced analysis. The analytical benchmark solutions were obtained using a distributed plasticity shell finite element model that explicitly accounts for the effects of gradual cross-sectional yielding, longitudinal spread of plasticity, initial geometric imperfections, residual stresses, and local buckling. A brief description and verification of the shell finite element model is provided in this paper.

APA, Harvard, Vancouver, ISO, and other styles

15

Kim, Jae Wook, and Duck Joo Lee. "Implementation of Boundary Conditions for Optimized High-Order Compact Schemes." Journal of Computational Acoustics 05, no. 02 (June 1997): 177–91. http://dx.doi.org/10.1142/s0218396x97000113.

Full text

Abstract:

The optimized high-order compact (OHOC) finite difference schemes, proposed as central schemes are used for aeroacoustic computations on interior nodes. On near-boundary nodes, accurate non-central or one-sided compact schemes are formulated and developed in this paper for general computations in domains with non-periodic boundaries. The near-boundary non-central compact schemes are optimized in the wavenumber domain by using Fourier error analysis. Analytic optimization methods are devised to minimize the dispersion and dissipation errors, and to obtain maximum resolution characteristics of the near-boundary compact schemes. With the accurate near-boundary schemes, the feasibility of implementing physical boundary conditions for the OHOC schemes are investigated to provide high-quality wave solutions. Characteristics-based boundary conditions and the free-field impedance conditions are used as the physical boundary conditions for direct computations of linear and nonlinear wave propagation and radiation. It is shown that the OHOC schemes present accurate wave solutions by using the optimized near-boundary compact schemes and the physical boundary conditions.

APA, Harvard, Vancouver, ISO, and other styles

16

Fang, Yi. "Minimal annuli in R3 bounded by non-compact complete convex curves in parallel planes." Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 60, no. 3 (June 1996): 369–88. http://dx.doi.org/10.1017/s1446788700037885.

Full text

Abstract:

AbstractIn this paper we consider the Plateau problem for surfaces of annular type bounded by a pair of convex, non-compact curves in parallel planes. We prove that for certain symmetric boundaries there are solutions to the non-compact Plateau problems (Theorem B). Except for boundaries consisting of a pair of parallel straight lines, these are the first known examples.

APA, Harvard, Vancouver, ISO, and other styles

17

GUDMUNDSSON, SIGMUNDUR, and MARTIN SVENSSON. "Harmonic morphisms from solvable Lie groups." Mathematical Proceedings of the Cambridge Philosophical Society 147, no. 2 (September 2009): 389–408. http://dx.doi.org/10.1017/s0305004109002564.

Full text

Abstract:

AbstractIn this paper we introduce two new methods for constructing harmonic morphisms from solvable Lie groups. The first method yields global solutions from any simply connected nilpotent Lie group and from any Riemannian symmetric space of non-compact type and rank r ≥ 3. The second method provides us with global solutions from any Damek–Ricci space and many non-compact Riemannian symmetric spaces. We then give a continuous family of 3-dimensional solvable Lie groups not admitting any complex-valued harmonic morphisms, not even locally.

APA, Harvard, Vancouver, ISO, and other styles

18

Choi, Kyeongsu, Panagiota Daskalopoulos, Lami Kim, and Ki-Ahm Lee. "The evolution of complete non-compact graphs by powers of Gauss curvature." Journal für die reine und angewandte Mathematik (Crelles Journal) 2019, no. 757 (December 1, 2019): 131–58. http://dx.doi.org/10.1515/crelle-2017-0032.

Full text

APA, Harvard, Vancouver, ISO, and other styles

19

Yuan, Xian-Zhi. "Non-compact random generalized games and random quasi-variational inequalities." Journal of Applied Mathematics and Stochastic Analysis 7, no. 4 (January 1, 1994): 467–86. http://dx.doi.org/10.1155/s1048953394000377.

Full text

Abstract:

In this paper, existence theorems of random maximal elements, random equilibria for the random one-person game and random generalized game with a countable number of players are given as applications of random fixed point theorems. By employing existence theorems of random generalized games, we deduce the existence of solutions for non-compact random quasi-variational inequalities. These in turn are used to establish several existence theorems of noncompact generalized random quasi-variational inequalities which are either stochastic versions of known deterministic inequalities or refinements of corresponding results known in the literature.

APA, Harvard, Vancouver, ISO, and other styles

20

Ma, Li, and Liang Cheng. "Global solutions to norm-preserving non-local flows of porous media type." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 143, no. 4 (July 17, 2013): 871–80. http://dx.doi.org/10.1017/s0308210511001211.

Full text

Abstract:

In this paper, we study the global existence of positive solutions to the norm-preserving non-local heat flow of the porous-media type equations on the compact Riemannian manifold (M, g) with the Cauchy data u0 > 0 on M, where r ≥ 1, p > 1 and λ(t) is chosen to make the L2-norm of the solution u (or a power of u) constant. We show that the limit is an eigenfunction for the Laplacian operator. We use some tricky estimates through the Sobolev imbedding theorem and the Moser iteration method.

APA, Harvard, Vancouver, ISO, and other styles

21

Porter, D., and D. S. G. Stirling. "Finitely-generated solutions of certain integral equations." Proceedings of the Edinburgh Mathematical Society 37, no. 2 (June 1994): 325–45. http://dx.doi.org/10.1017/s0013091500006106.

Full text

Abstract:

Recent work has shown that the solutions of the second-kind integral equation arising from a difference kernel can be expressed in terms of two particular solutions of the equation. This paper establishes analogous results for a wider class of integral operators, which includes the special case of those arising from difference kernels, where the solution of the general case is generated by a finite number of particular cases. The generalisation is achieved by reducing the problem to one of finite rank. Certain non-compact operators, including those arising from Cauchy singular kernels, are amenable to this approach.

APA, Harvard, Vancouver, ISO, and other styles

22

Kołodziej, Sławomir, and Ngoc Cuong Nguyen. "Weak solutions of complex Hessian equations on compact Hermitian manifolds." Compositio Mathematica 152, no. 11 (September 9, 2016): 2221–48. http://dx.doi.org/10.1112/s0010437x16007417.

Full text

Abstract:

We prove the existence of weak solutions of complex $m$-Hessian equations on compact Hermitian manifolds for the non-negative right-hand side belonging to $L^{p}$, $p>n/m$ ($n$ is the dimension of the manifold). For smooth, positive data the equation has recently been solved by Székelyhidi and Zhang. We also give a stability result for such solutions.

APA, Harvard, Vancouver, ISO, and other styles

23

Kołodziej, Sławomir. "Weak solutions of the Monge–Ampère equation on compact Hermitian manifolds." International Journal of Mathematics 28, no. 09 (August 2017): 1740002. http://dx.doi.org/10.1142/s0129167x1740002x.

Full text

Abstract:

In this paper, we describe how pluripotential methods can be applied to study weak solutions of the complex Monge–Ampère equation on compact Hermitian manifolds. We indicate the differences between Kähler and non-Kähler setting. The results include a priori estimates, existence and stability of solutions.

APA, Harvard, Vancouver, ISO, and other styles

24

KHASTGIR, S. PRATIK, and ALOK KUMAR. "STRING EFFECTIVE ACTION AND TWO-DIMENSIONAL CHARGED BLACK HOLE." Modern Physics Letters A 06, no. 36 (November 30, 1991): 3365–71. http://dx.doi.org/10.1142/s0217732391003882.

Full text

Abstract:

Graviton-dilaton background field equations in three space-time dimensions, following from the string effective action are solved when the metric has only time dependence. By taking one of the two space dimensions as compact, our solution reproduces a recently discovered charged black hole solution in two space-time dimensions. Solutions in the presence of non-vanishing three-dimensional background antisymmetric tensor field are also discussed.

APA, Harvard, Vancouver, ISO, and other styles

25

Anikushin, Mikhail M. "On the compactness of solutions to certain operator inequalities arising from the Likhtarnikov — Yakubovich frequency theorem." Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy 65, no. 4 (2020): 622–35. http://dx.doi.org/10.21638/spbu01.2020.405.

Full text

Abstract:

We study the compactness property of operator solutions to certain operator inequalities arising from the frequency theorem of Likhtarnikov — Yakubovich for C0-semigroups. We show that the operator solution can be described through solutions of an adjoint problem as it was previously known under some regularity condition. Thus we connect some regularity properties of the semigroup with the compactness of the operator in the general case. We also prove several results useful for checking the non-compactness of operator solutions to Lyapunov inequalities and equations, into which the operator Riccati equation degenerates in certain cases arising in applications. As an example, we apply these theorems for a scalar delay equation posed in a proper Hilbert space and show that the operator solution cannot be compact. This results are related to the author recent work on a non-local reduction principle of cocycles (non-autonomous dynamical systems) in Hilbert spaces.

APA, Harvard, Vancouver, ISO, and other styles

26

Lugo, Adrián R. "SO(3)×U(1) Isometric Instantons with Non-Abelian Hair in Four-Dimensional String Theory." Modern Physics Letters A 12, no. 25 (August 20, 1997): 1847–58. http://dx.doi.org/10.1142/s0217732397001886.

Full text

Abstract:

We compute the exact effective string vacuum backgrounds of the level k=81/19 SU(2,1)/U(1) coset model. A compact SU(2) isometry present in this seven-dimensional solution allows one to interpret it after compactification as a four-dimensional non-Abelian SU(2) charged instanton with a singular submanifold and an SO(3) × U(1) isometry. The semiclassical backgrounds, solutions of the type II strings, present similar characteristics

APA, Harvard, Vancouver, ISO, and other styles

27

CABALLERO, MAGDALENA, ALFONSO ROMERO, and RAFAEL M. RUBIO. "NEW CALABI–BERNSTEIN RESULTS FOR SOME ELLIPTIC NONLINEAR EQUATIONS." Analysis and Applications 11, no. 01 (January 2013): 1350002. http://dx.doi.org/10.1142/s0219530513500024.

Full text

Abstract:

Uniqueness and non-existence results of entire solutions to the maximal surface equation and to the constant mean curvature spacelike surface equation on certain complete non-compact Riemannian surfaces are obtained.

APA, Harvard, Vancouver, ISO, and other styles

28

Suzuki, Ryuichi, and Noriaki Umeda. "Blow-up of solutions of a quasilinear parabolic equation." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 142, no. 2 (March 21, 2012): 425–48. http://dx.doi.org/10.1017/s0308210510000375.

Full text

Abstract:

We consider non-negative solutions of the Cauchy problem for quasilinear parabolic equations ut = Δum + f(u), where m > 1 and f(ξ) is a positive function in ξ > 0 satisfying f(0) = 0 and a blow-up conditionWe show that if ξm+2/N /(−log ξ)β = O(f(ξ)) as ξ ↓ 0 for some 0 < β < 2/(mN + 2), one of the following holds: (i) all non-trivial solutions blow up in finite time; (ii) every non-trivial solution with an initial datum u0 having compact support exists globally in time and grows up to ∞ as t → ∞: limtt→∞ inf|x|<Ru(x, t) = ∞ for any R > 0. Moreover, we give a condition on f such that (i) holds, and show the existence of f such that (ii) holds.

APA, Harvard, Vancouver, ISO, and other styles

29

Marcelli, Cristina, and Paola Rubbioni. "Some results on the method of lower and upper solutions for non-compact domains." Nonlinear Analysis: Theory, Methods & Applications 30, no. 8 (December 1997): 4903–8. http://dx.doi.org/10.1016/s0362-546x(96)00276-3.

Full text

APA, Harvard, Vancouver, ISO, and other styles

30

Tanaka, Kazunaga. "Periodic solutions for singular Hamiltonian systems and closed geodesics on non-compact Riemannian manifolds." Annales de l'Institut Henri Poincare (C) Non Linear Analysis 17, no. 1 (January 2000): 1–33. http://dx.doi.org/10.1016/s0294-1449(99)00102-x.

Full text

APA, Harvard, Vancouver, ISO, and other styles

31

Filinovskii, A. V. "Stabilization of the solutions of the wave equation in domains with non-compact boundaries." Sbornik: Mathematics 189, no. 8 (August 31, 1998): 1251–72. http://dx.doi.org/10.1070/sm1998v189n08abeh000334.

Full text

APA, Harvard, Vancouver, ISO, and other styles

32

Frauendiener, J. "Non-existence of stationary, axisymmetric dust solutions of Einstein's equations on spatially compact manifolds." Physics Letters A 120, no. 3 (February 1987): 119–23. http://dx.doi.org/10.1016/0375-9601(87)90710-9.

Full text

APA, Harvard, Vancouver, ISO, and other styles

33

Gliklikh, Yuri Evgenievich. "Guiding Potentials and bounded solutions of differential equations on finite-dimensional non-compact maniforlds." Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, no. 5 (2021): 16–22. http://dx.doi.org/10.26907/0021-3446-2021-5-16-22.

Full text

APA, Harvard, Vancouver, ISO, and other styles

34

Gliklikh, Yu E. "Guiding Potentials and Bounded Solutions of Differential Equations on Finite-Dimensional Non-Compact Manifolds." Russian Mathematics 65, no. 5 (May 2021): 8–12. http://dx.doi.org/10.3103/s1066369x21050030.

Full text

APA, Harvard, Vancouver, ISO, and other styles

35

PONSOT, B. "MONODROMY OF SOLUTIONS OF THE KNIZHNIK-ZAMOLODCHIKOV EQUATION: SL(2)k WZNW MODEL." International Journal of Modern Physics A 19, supp02 (May 2004): 336–47. http://dx.doi.org/10.1142/s0217751x04020506.

Full text

Abstract:

Three explicit and equivalent representations for the monodromy of the conformal blocks in the non compact SL(2)k WZNW model are proposed in terms of the same quantity computed in Liouville field theory.

APA, Harvard, Vancouver, ISO, and other styles

36

Yang, Tong, and Changjiang Zhu. "Non-existence of global smooth solutions to symmetrizable nonlinear hyperbolic systems." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 133, no. 3 (June 2003): 719–28. http://dx.doi.org/10.1017/s0308210500002626.

Full text

Abstract:

In this paper, we consider the Cauchy problem of general symmetrizable hyperbolic systems in multi-dimensional space. When some components of the initial data have compact support, we give a sufficient condition on the non-existence of global C1 solutions. This non-existence theorem can be applied to some physical systems, such as Euler equations for compressible flow in multi-dimensional space. The blow-up phenomena here can come from the singularity developed at the interface, such as vacuum boundary, rather than the shock formation as studied in the previous works on strictly hyperbolic systems. Therefore, the systems considered here include those which are non-strictly hyperbolic.

APA, Harvard, Vancouver, ISO, and other styles

37

Hou, Jin-Le, Wen Luo, Yin-Yin Wu, Hu-Chao Su, Guang-Lin Zhang, Qin-Yu Zhu, and Jie Dai. "Two Ti13-oxo-clusters showing non-compact structures, film electrode preparation and photocurrent properties." Dalton Transactions 44, no. 46 (2015): 19829–35. http://dx.doi.org/10.1039/c5dt03153b.

Full text

Abstract:

Photoelectrodes are prepared by a wet coating process using solutions of two new Ti₁₃ clusters that possess non-compact structures and the photocurrent response properties of the electrodes are studied.

APA, Harvard, Vancouver, ISO, and other styles

38

Garcia-Fernandez, Mario. "T-dual solutions of the Hull–Strominger system on non-Kähler threefolds." Journal für die reine und angewandte Mathematik (Crelles Journal) 2020, no. 766 (September 1, 2020): 137–50. http://dx.doi.org/10.1515/crelle-2019-0013.

Full text

Abstract:

AbstractWe construct new examples of solutions of the Hull–Strominger system on non-Kähler torus bundles over K3 surfaces, with the property that the connection {\nabla} on the tangent bundle is Hermite–Yang–Mills. With this ansatz for the connection {\nabla}, we show that the existence of solutions reduces to known results about moduli spaces of slope-stable sheaves on a K3 surface, combined with elementary analytical methods. We apply our construction to find the first examples of T-dual solutions of the Hull–Strominger system on compact non-Kähler manifolds with different topology.

APA, Harvard, Vancouver, ISO, and other styles

39

MIRZA, BABUR M. "CHAOTIC ACCRETION IN A NON-STATIONARY ELECTROMAGNETIC FIELD OF A SLOWLY ROTATING COMPACT STAR." International Journal of Modern Physics D 16, no. 10 (October 2007): 1705–14. http://dx.doi.org/10.1142/s0218271807011188.

Full text

Abstract:

We investigate charge accretion in the vicinity of a slowly rotating compact star with a non-stationary electromagnetic field. Exact solutions to the general relativistic Maxwell equations are obtained for a star formed of a highly degenerate plasma with a gravitational field given by the linearized Kerr metric. These solutions are used to formulate and then to study numerically the equations of motion for a charged particle in the star's vicinity using the gravitoelectromagnetic force law. The analysis shows that close to the star, charge accretion does not always remain ordered. It is found that the magnetic field plays the dominant role in the onset of chaos near the star's surface.

APA, Harvard, Vancouver, ISO, and other styles

40

EL-Fassi, Iz-iddine, Abdellatif Chahbi, and Samir Kabbaj. "An extension of a variant of d’Alemberts functional equation on compact groups." Acta Universitatis Sapientiae, Mathematica 9, no. 1 (August 1, 2017): 45–52. http://dx.doi.org/10.1515/ausm-2017-0004.

Full text

Abstract:

Abstract All paper is related with the non-zero continuous solutions f : G → ℂ of the functional equation $${\rm{f}}({\rm{x}}\sigma ({\rm{y}})) + {\rm{f}}(\tau ({\rm{y}}){\rm{x}}) = 2{\rm{f}}({\rm{x}}){\rm{f}}({\rm{y}}),\;\;\;\;\;{\rm{x}},{\rm{y}} \in {\rm{G}},$$ where σ; τ are continuous automorphism or continuous anti-automorphism defined on a compact group G and possibly non-abelian, such that σ2 = τ2 = id: The solutions are given in terms of unitary characters of G:

APA, Harvard, Vancouver, ISO, and other styles

41

Karimov, Ruslan Kh, and Larisa M. Kozhevnikova. "Stabilization of solutions of quasilinear second order parabolic equations in domains with non-compact boundaries." Sbornik: Mathematics 201, no. 9 (November 11, 2010): 1249–71. http://dx.doi.org/10.1070/sm2010v201n09abeh004111.

Full text

APA, Harvard, Vancouver, ISO, and other styles

42

Holst, Michael, Caleb Meier, and G. Tsogtgerel. "Non-CMC Solutions of the Einstein Constraint Equations on Compact Manifolds with Apparent Horizon Boundaries." Communications in Mathematical Physics 357, no. 2 (November 2, 2017): 467–517. http://dx.doi.org/10.1007/s00220-017-3004-9.

Full text

APA, Harvard, Vancouver, ISO, and other styles

43

Infante, Gennaro, and J. R. L. Webb. "NONLINEAR NON-LOCAL BOUNDARY-VALUE PROBLEMS AND PERTURBED HAMMERSTEIN INTEGRAL EQUATIONS." Proceedings of the Edinburgh Mathematical Society 49, no. 3 (October 2006): 637–56. http://dx.doi.org/10.1017/s0013091505000532.

Full text

Abstract:

AbstractMotivated by some non-local boundary-value problems (BVPs) that arise in heat-flow problems, we establish new results for the existence of non-zero solutions of integral equations of the form$$ u(t)=\gamma(t)\alpha[u]+\int_{G}k(t,s)f(s,u(s))\,\mathrm{d}s, $$where $G$ is a compact set in $\mathbb{R}^{n}$. Here $\alpha[u]$ is a positive functional and $f$ is positive, while $k$ and $\gamma$ may change sign, so positive solutions need not exist. We prove the existence of multiple non-zero solutions of the BVPs under suitable conditions. We show that solutions of the BVPs lose positivity as a parameter decreases. For a certain parameter range not all solutions can be positive, but for one of the boundary conditions we consider we show that there are positive solutions for certain types of nonlinearity. We also prove a uniqueness result.

APA, Harvard, Vancouver, ISO, and other styles

44

Ahammou, Abdelaziz. "On the existence of bounded solutions of nonlinear elliptic systems." International Journal of Mathematics and Mathematical Sciences 30, no. 8 (2002): 479–90. http://dx.doi.org/10.1155/s0161171202010293.

Full text

Abstract:

We study the existence of bounded solutions to the elliptic system−Δpu=f(u,v)+h1inΩ,−Δqv=g(u,v)+h2inΩ,u=v=0on∂Ω, non-necessarily potential systems. The method used is a shooting technique. We are concerned with the existence of a negative subsolution and a nonnegative supersolution in the sense of Hernandez; then we construct some compact operatorTand some invariant setKwhere we can use the Leray Schauder's theorem.

APA, Harvard, Vancouver, ISO, and other styles

45

PATLE, PRADIP R., and DEEPESH KUMAR PATEL. "Existence of solutions of implicit integral equations via Z-contraction." Carpathian Journal of Mathematics 34, no. 2 (2018): 239–46. http://dx.doi.org/10.37193/cjm.2018.02.12.

Full text

Abstract:

The main focus of this work is to assure that the sum of a compact operator with a Z-contraction admits a fixed point. The concept of condensing mapping (in the sense of Hausdorff non-compactness measure) is used to establish the concerned result which generalizes some of the existing state-of-art in the literature. Presented result is used to verify the actuality of solutions of implicit integral equations.

APA, Harvard, Vancouver, ISO, and other styles

46

Szwarc, Ryszard. "Nonlinear integral inequalities of the Volterra type." Mathematical Proceedings of the Cambridge Philosophical Society 111, no. 3 (May 1992): 599–608. http://dx.doi.org/10.1017/s0305004100075678.

Full text

Abstract:

We are studying the integral inequalitywhere all functions appearing are defined and increasing on the right half-axis and take the value zero at zero. We are interested in determining when the inequality admits solutions u(x) which are non-vanishing in a neighbourhood of zero. It is well-known that if ψ(x) is the identity function then no such solution exists. This due to the fact that the operator defined by the integral on the right-hand side of the equation is linear and compact. So if we are interested in non-trivial solutions it is natural to require that ψ(x) > 0 at least for all non-zero points in some neighbourhood of zero. One of the typical examples is the power function ψ(x) = xα, where α < 1. This situation was explored in [2]. The functions a(x) that admit non-zero solutions were characterized by Bushell in [1]. For a general approach to the problem we refer to [2], [3] and [4].

APA, Harvard, Vancouver, ISO, and other styles

47

Chahbi, Abdellatif, Brahim Fadli, and Samir Kabbaj. "Solution of a functional equation on compact groups using Fourier analysis." Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica 69, no. 2 (December 30, 2015): 9. http://dx.doi.org/10.17951/a.2015.69.2.9-15.

Full text

Abstract:

Let $G$ be a compact group, let $n \in N\setminus \{0,1\}$ be a fixed element and let $\sigma$ be a continuous automorphism on $G$ such that $\sigma^n=I$. Using the non-abelian Fourier transform, we determine the non-zero continuous solutions $f:G \to C$ of the functional equation \[ f(xy)+\sum_{k=1}^{n-1}f(\sigma^k(y)x)=nf(x)f(y),\ x,y \in G,\] in terms of unitary characters of $G$.

APA, Harvard, Vancouver, ISO, and other styles

48

Wegert, E., and M. A. Efendiev. "Nonlinear Riemann—Hilbert problems with Lipschitz continuous boundary condition." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 130, no. 4 (August 2000): 793–800. http://dx.doi.org/10.1017/s0308210500000421.

Full text

Abstract:

Using a norm inequality for singular integral operators in pairs of weighted Lebesgue spaces we are able to prove existence and uniqueness results for solutions of nonlinear RiemannHilbert problems with non-compact Lipschitz continuous restriction curves.

APA, Harvard, Vancouver, ISO, and other styles

49

Dinew, Sławomir. "Hölder continuous potentials on manifolds with partially positive curvature." Journal of the Institute of Mathematics of Jussieu 9, no. 4 (April 16, 2010): 705–18. http://dx.doi.org/10.1017/s1474748010000113.

Full text

Abstract:

AbstractIt is proved that solutions of the complex Monge–Ampère equation on compact Kähler manifolds with right hand side in Lp, p > 1, are uniformly Hölder continuous under the assumption on non-negative orthogonal bisectional curvature.

APA, Harvard, Vancouver, ISO, and other styles

50

Böhm, Christoph, Ramiro Lafuente, and Miles Simon. "Optimal Curvature Estimates for Homogeneous Ricci Flows." International Mathematics Research Notices 2019, no. 14 (November 6, 2017): 4431–68. http://dx.doi.org/10.1093/imrn/rnx256.

Full text

Abstract:

AbstractWe prove uniform curvature estimates for homogeneous Ricci flows: For a solution defined on $[0,t]$ the norm of the curvature tensor at time $t$ is bounded by the maximum of $C(n)/t$ and $C(n)({\mathrm{scal}}(g(t)) - {\mathrm{scal}}(g(0)) )$. This is used to show that solutions with finite extinction time are Type I, immortal solutions are Type III and ancient solutions are Type I, with constants depending only on the dimension $n$. A further consequence is that a non-collapsed homogeneous ancient solution on a compact homogeneous space emerges from a unique Einstein metric on that space. The above curvature estimates follow from a gap theorem for Ricci-flatness on homogeneous spaces. This theorem is proved by contradiction, using a local $W^{2,p}$ convergence result which holds without symmetry assumptions.

APA, Harvard, Vancouver, ISO, and other styles

Journal articles on the topic 'Non-compact solutions'

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles