Academic literature on the topic 'Strictly hyperbolic operator'

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Journal articles on the topic "Strictly hyperbolic operator"

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Esposito, Giampiero. "A parametrix for quantum gravity?" International Journal of Geometric Methods in Modern Physics 13, no. 05 (2016): 1650060. http://dx.doi.org/10.1142/s0219887816500602.

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In the 60s, DeWitt discovered that the advanced and retarded Green functions of the wave operator on metric perturbations in the de Donder gauge make it possible to define classical Poisson brackets on the space of functionals that are invariant under the action of the full diffeomorphism group of spacetime. He therefore tried to exploit this property to define invariant commutators for the quantized gravitational field, but the operator counterpart of such classical Poisson brackets turned out to be a hard task. On the other hand, in the mathematical literature, it is by now clear that, rathe
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BYTSENKO, ANDREI A., and SERGIO ZERBINI. "SEMICLASSICAL APPROXIMATION FOR A CLASS OF QUANTUM p-BRANE MODELS." Modern Physics Letters A 08, no. 17 (1993): 1573–84. http://dx.doi.org/10.1142/s0217732393001318.

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A class of quantum p-brane models is considered. An action that is linear in the determinant of the world-metric and equivalent to Nambu-Goto-Dirac p-brane action is proposed. A semiclassical approximation to path integral quantization is presented for the bosonic sector when the closed p-brane sweeps out an n=(p+1) dimensional compact hyperbolic manifold Hn/Γ, Γ being a strictly hyperbolic subgroup of isometries of the Lobachevsky space Hn. The computation of the related Laplace operator determinant is presented.
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Allilueva, A. I., S. Yu Dobrokhotov, S. A. Sergeev, and A. I. Shafarevich. "New representations of the Maslov canonical operator and localized asymptotic solutions for strictly hyperbolic systems." Doklady Mathematics 92, no. 2 (2015): 548–53. http://dx.doi.org/10.1134/s1064562415050129.

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Korzyuk, V. I., and Nguyen Van Vinh. "A MIXED PROBLEM FOR THE FOUR-ORDER ONE-DIMENSIONAL HYPERBOLIC EQUATION WITH PERIODIC CONDITIONS." Proceedings of the National Academy of Sciences of Belarus. Physics and Mathematics Series 54, no. 2 (2018): 135–48. http://dx.doi.org/10.29235/1561-2430-2018-54-2-135-148.

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This article considers a classical solution of the boundary problem for the four-order strictly hyperbolic equation with four different characteristics. Note that the well-posed statement of mixed problems for hyperbolic equations not only depends on the number of characteristics, but also on their location. The operator appearing in the equation involves a composition of first-order differential operators. The equation is defined in the half-strip of two independent variables. There are Cauchy’s conditions at the domain bottom and periodic conditions at other boundaries. Using the method of c
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Nielsen, Frank. "The Siegel–Klein Disk: Hilbert Geometry of the Siegel Disk Domain." Entropy 22, no. 9 (2020): 1019. http://dx.doi.org/10.3390/e22091019.

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We study the Hilbert geometry induced by the Siegel disk domain, an open-bounded convex set of complex square matrices of operator norm strictly less than one. This Hilbert geometry yields a generalization of the Klein disk model of hyperbolic geometry, henceforth called the Siegel–Klein disk model to differentiate it from the classical Siegel upper plane and disk domains. In the Siegel–Klein disk, geodesics are by construction always unique and Euclidean straight, allowing one to design efficient geometric algorithms and data structures from computational geometry. For example, we show how to
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Cicognani, Massimo. "The Cauchy Problem for Strictly Hyperbolic Operators with Non-Absolutely Continuous Coefficients." Tsukuba Journal of Mathematics 27, no. 1 (2003): 1–12. http://dx.doi.org/10.21099/tkbjm/1496164556.

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Vasil'ev, V. A. "SHARPNESS AND THE LOCAL PETROVSKIĬ CONDITION FOR STRICTLY HYPERBOLIC OPERATORS WITH CONSTANT COEFFICIENTS." Mathematics of the USSR-Izvestiya 28, no. 2 (1987): 233–73. http://dx.doi.org/10.1070/im1987v028n02abeh000880.

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Sogge, Christopher D. "On maximal functions associated to hypersurfaces and the Cauchy problem for strictly hyperbolic operators." Transactions of the American Mathematical Society 304, no. 2 (1987): 733. http://dx.doi.org/10.1090/s0002-9947-1987-0911093-5.

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Gramchev, Todor V., and Peter R. Popivanov. "Singularities of the Solutions of Non-Correct Mixed Problems for Second Order Strictly Hyperbolic Operators." Mathematische Nachrichten 121, no. 1 (1985): 53–60. http://dx.doi.org/10.1002/mana.19851210107.

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Reiche, Sönke, and Benjamin Berkels. "Automated stacking of seismic reflection data based on nonrigid image matching." GEOPHYSICS 83, no. 3 (2018): V171—V183. http://dx.doi.org/10.1190/geo2017-0189.1.

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Stacking of multichannel seismic reflection data is a crucial step in seismic data processing, usually leading to the first interpretable seismic image. Stacking is preceded by traveltime correction, in which all events contained in a common-midpoint (CMP) gather are corrected for their offset-dependent traveltime increase. Such corrections are often based on the assumption of hyperbolic traveltime curves, and a best fit hyperbola is usually sought for each reflection by careful determination of stacking velocities. However, assuming hyperbolic traveltime curves is not accurate in many situati
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Book chapters on the topic "Strictly hyperbolic operator"

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Hörmander, Lars. "The Strictly Hyperbolic Cauchy Problem." In The Analysis of Linear Partial Differential Operators III. Springer Berlin Heidelberg, 2007. http://dx.doi.org/10.1007/978-3-540-49938-1_8.

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Colombini, Ferruccio, and Daniele Del Santo. "Strictly Hyperbolic Operators and Approximate Energies." In Analysis and Applications — ISAAC 2001. Springer US, 2003. http://dx.doi.org/10.1007/978-1-4757-3741-7_17.

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"The strictly hyperbolic Cauchy problem — construction of a parametrix." In Microlocal Analysis for Differential Operators. Cambridge University Press, 1994. http://dx.doi.org/10.1017/cbo9780511721441.007.

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"Particle flow and invariant algebra of a semi-strictly hyperbolic system; coordinate invariance of Opψxm." In The Technique of Pseudodifferential Operators. Cambridge University Press, 1995. http://dx.doi.org/10.1017/cbo9780511569425.011.

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