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Relevant bibliographies by topics / Restriction inequalities ; isoperimetric inequalities

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Academic literature on the topic 'Restriction inequalities ; isoperimetric inequalities'

Author: Grafiati

Published: 4 June 2021

Last updated: 12 February 2022

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Journal articles on the topic "Restriction inequalities ; isoperimetric inequalities"

1

Rothaus, O. S. "Analytic inequalities, isoperimetric inequalities and logarithmic Sobolev inequalities." Journal of Functional Analysis 64, no. 2 (1985): 296–313. http://dx.doi.org/10.1016/0022-1236(85)90079-5.

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2

Afanas'еv, V. S., and N. V. Baniсhuk. "OPTIMAL SUPPRESSION OF TRANSVERSE VIBRATIONS OF SPINNING ELASTIC RODS." Problems of strenght and plasticity 83, no. 1 (2021): 49–60. http://dx.doi.org/10.32326/1814-9146-2021-83-1-49-60.

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The process of suppressing transverse vibrations of an elastic rod spinning in a horizontal plane and fixed at one of its ends is studied. It is supposed that the rod spins around the vertical axis at a constant angular velocity and performs transverse vibrations in the vertical plane, the vibrations are assumed small in amplitude. Transverse vibrations of the spinning rod are performed under external mechanical action. Lateral vibrations are described by the displacement function and considered in a rotating plane by using the classical beam model. The necessary conditions of optimality are d

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3

Chung, F. "Discrete isoperimetric inequalities." Surveys in Differential Geometry 9, no. 1 (2004): 53–82. http://dx.doi.org/10.4310/sdg.2004.v9.n1.a3.

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4

Almgren, F. "Optimal isoperimetric inequalities." Bulletin of the American Mathematical Society 13, no. 2 (1985): 123–27. http://dx.doi.org/10.1090/s0273-0979-1985-15393-5.

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Ku, Hsu-Tung, and Mei-Chin Ku. "Analytic isoperimetric inequalities." Mathematical Inequalities & Applications, no. 4 (2000): 459–72. http://dx.doi.org/10.7153/mia-03-45.

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6

Bollobás, Béla, and Imre Leader. "Exact Face-isoperimetric Inequalities." European Journal of Combinatorics 11, no. 4 (1990): 335–40. http://dx.doi.org/10.1016/s0195-6698(13)80135-7.

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7

Klimov, Vladimir S. "Isoperimetric and Functional Inequalities." Modeling and Analysis of Information Systems 25, no. 3 (2018): 331–42. http://dx.doi.org/10.18255/1818-1015-2018-3-331-342.

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We establish lower estimates for an integral functional$$\int\limits_\Omega f(u(x), \nabla u(x)) \, dx ,$$where \(\Omega\) -- a bounded domain in \(\mathbb{R}^n \; (n \geqslant 2)\), an integrand \(f(t,p) \, (t \in [0, \infty),\; p \in \mathbb{R}^n)\) -- a function that is \(B\)-measurable with respect to a variable \(t\) and is convex and even in the variable \(p\), \(\nabla u(x)\) -- a gradient (in the sense of Sobolev) of the function \(u \colon \Omega \rightarrow \mathbb{R}\). In the first and the second sections we utilize properties of permutations of differentiable functions and an isop

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8

Trudinger, Neil S. "Isoperimetric inequalities for quermassintegrals." Annales de l'Institut Henri Poincare (C) Non Linear Analysis 11, no. 4 (1994): 411–25. http://dx.doi.org/10.1016/s0294-1449(16)30181-0.

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9

Ros, Antonio. "Isoperimetric inequalities in crystallography." Journal of the American Mathematical Society 17, no. 2 (2003): 373–88. http://dx.doi.org/10.1090/s0894-0347-03-00447-8.

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10

Tkhi, Dao Chong. "ISOPERIMETRIC INEQUALITIES FOR MULTIVARIFOLDS." Mathematics of the USSR-Izvestiya 26, no. 2 (1986): 289–305. http://dx.doi.org/10.1070/im1986v026n02abeh001148.

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Dissertations / Theses on the topic "Restriction inequalities ; isoperimetric inequalities"

1

Harris, Stephen Elliott Ian. "Restriction and isoperimetric inequalities in harmonic analysis." Thesis, University of Edinburgh, 2015. http://hdl.handle.net/1842/14168.

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We study two related inequalities that arise in Harmonic Analysis: restriction type inequalities and isoperimetric inequalities. The (Lp, Lq) Restriction type inequalities have been the subject of much interest since they were first conceived in the 1960s. The classical restriction type inequality involving surfaces of non-vanishing curvature is only fully resolved in two dimensions and there have been a lot of recent developments to establish the conjectured (p,q) range in higher dimensions. However, it also interesting to consider what can be said for curves where the curvature does vanish.

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2

Leader, Imre Bennett. "Discrete isoperimetric inequalities and other combinatorial results." Thesis, University of Cambridge, 1989. https://www.repository.cam.ac.uk/handle/1810/250940.

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3

Garcia-Leon, Joel. "Cheeger constant and isoperimetric inequalities on Riemannian manifolds." Thesis, Imperial College London, 2005. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.417041.

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4

Burton, Andrew P. "Isoperimetric inequalities and applications of convex integral functions." Thesis, Keele University, 1989. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.277183.

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5

Gard, Andrew C. "Reverse Isoperimetric Inequalities in R³." The Ohio State University, 2012. http://rave.ohiolink.edu/etdc/view?acc_num=osu1330528578.

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6

Kienitz, Jörg. "Convergence of Markov chains via analytic and isoperimetric inequalities." [S.l. : s.n.], 2000. http://deposit.ddb.de/cgi-bin/dokserv?idn=960840664.

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7

Kontis, Vasilis. "Functional and isoperimetric inequalities for probability measures on H-type groups." Thesis, Imperial College London, 2011. http://hdl.handle.net/10044/1/8990.

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We investigate isoperimetric and functional inequalities for probability measures in the sub-elliptic setting and more specifically, on groups of Heisenberg type. The approach we take is based on U-bounds as well as a Laplacian comparison theorem for H-type groups. We derive different forms of functional inequalities (of [Phi]-entropy and F-Sobolev type) and show that they can be equivalently stated as isoperimetric inequalities at the level of sets. Furthermore, we study transportation of measure via Talagrand-type inequalities. The methods used allow us to obtain gradient bounds for the heat

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8

Caglar, Umut. "Divergence And Entropy Inequalities For Log Concave Functions." Case Western Reserve University School of Graduate Studies / OhioLINK, 2014. http://rave.ohiolink.edu/etdc/view?acc_num=case1400598757.

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9

Murali, Shobhana. "Curvature, isoperimetry, and discrete spin systems." Diss., Georgia Institute of Technology, 2001. http://hdl.handle.net/1853/28843.

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Stoyanov, Tsvetan I. "Isoperimetic and related constants for graphs and markov chains." Diss., Georgia Institute of Technology, 2001. http://hdl.handle.net/1853/29456.

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Books on the topic "Restriction inequalities ; isoperimetric inequalities"

1

Ritoré, Manuel, and Carlo Sinestrari. Mean Curvature Flow and Isoperimetric Inequalities. Birkhäuser Basel, 2010. http://dx.doi.org/10.1007/978-3-0346-0213-6.

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2

E, Pečarić J., and Volenec V, eds. Recent advances in geometric inequalities. Kluwer Academic Publishers, 1989.

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3

Concentration, functional inequalities, and isoperimetry: International workshop, October 29-November 1, 2009, Florida Atlantic University, Boca Raton, Florida. American Mathematical Society, 2011.

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4

Burago, I͡U D. Geometric inequalities. Springer-Verlag, 1988.

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5

Bobkov, Serguei G. Some connections between isoperimetric and Sobolev-type inequalities. American Mathematical Society, 1997.

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6

B, Zegarlinski, ed. Entropy bounds and isoperimetry. American Mathematical Society, 2005.

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7

1974-, Groves Daniel, ed. The quadratic isoperimetric inequality for mapping tori of free group automorphisms. American Mathematical Society, 2010.

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8

Ecole d'été de probabilités de Saint-Flour (24th 1994). Lectures on probability theory and statistics: Ecole d'été de probabilités de Saint-Flour XXIV, 1994. Edited by Dobrushin R. L. 1929-, Groeneboom P, Ledoux Michel 1958-, and Bernard P. 1944-. Springer, 1996.

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9

Ritoré, Manuel, Vicente Miquel, and Joan Porti. Mean Curvature Flow and Isoperimetric Inequalities. Springer, 2010.

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Mean Curvature Flow And Isoperimetric Inequalities. Birkhauser Basel, 2009.

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Book chapters on the topic "Restriction inequalities ; isoperimetric inequalities"

1

Villani, Cédric. "Isoperimetric-type inequalities." In Grundlehren der mathematischen Wissenschaften. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-540-71050-9_21.

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2

Paouris, Grigoris, and Peter Pivovarov. "Randomized Isoperimetric Inequalities." In Convexity and Concentration. Springer New York, 2017. http://dx.doi.org/10.1007/978-1-4939-7005-6_13.

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3

Burago, Yuriĭ Dmitrievich, and Viktor Abramovich Zalgaller. "Isoperimetric Inequalities for Various Definitions of Area." In Geometric Inequalities. Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/978-3-662-07441-1_3.

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4

Hansen, Wolfhard, and Nikolai Nadirashvili. "Isoperimetric Inequalities for Capacities." In Harmonic Analysis and Discrete Potential Theory. Springer US, 1992. http://dx.doi.org/10.1007/978-1-4899-2323-3_15.

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5

Gustafsson, Björn, Razvan Teodorescu, and Alexander Vasil’ev. "Capacities and Isoperimetric Inequalities." In Classical and Stochastic Laplacian Growth. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-08287-5_5.

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Burago, Yuriĭ Dmitrievich, and Viktor Abramovich Zalgaller. "The Brunn-Minkowski Inequality and the Classical Isoperimetric Inequality." In Geometric Inequalities. Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/978-3-662-07441-1_2.

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Bakry, Dominique, Ivan Gentil, and Michel Ledoux. "Capacity and Isoperimetric-Type Inequalities." In Grundlehren der mathematischen Wissenschaften. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-00227-9_8.

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Hansen, W., and N. Nadirashvili. "Isoperimetric Inequalities in Potential Theory." In ICPT ’91. Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-011-1118-8_1.

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9

Kobelev, V. V. "Isoperimetric Inequalities in Stability Problems." In Optimization of Large Structural Systems. Springer Netherlands, 1993. http://dx.doi.org/10.1007/978-94-010-9577-8_60.

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10

Ratzkin, Jesse, and Tom Carroll. "Isoperimetric Inequalities for Extremal Sobolev Functions." In Trends in Mathematics. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-21284-5_13.

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Conference papers on the topic "Restriction inequalities ; isoperimetric inequalities"

1

Bognár, Gabriella. "Isoperimetric inequalities for some nonlinear eigenvalue problems." In The 7'th Colloquium on the Qualitative Theory of Differential Equations. Bolyai Institute, SZTE, 2003. http://dx.doi.org/10.14232/ejqtde.2003.6.4.

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2

Drach, Dror, Or Ordentlich, and Ofer Shayevitz. "Binary Maximal Correlation Bounds and Isoperimetric Inequalities via Anti-Concentration." In 2021 IEEE International Symposium on Information Theory (ISIT). IEEE, 2021. http://dx.doi.org/10.1109/isit45174.2021.9517829.

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Sohl, Christian, Mats Gustafsson, and Gerhard Kristensson. "Physical limitations on antennas — isoperimetric inequalities and the effect of metamaterials." In 2007 19th International Conference on Applied Electromagnetics and Communications (ICECom). IEEE, 2007. http://dx.doi.org/10.1109/icecom.2007.4544423.

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4

Chandrasekaran, Karthekeyan, Daniel Dadush, and Santosh Vempala. "Thin Partitions: Isoperimetric Inequalities and a Sampling Algorithm for Star Shaped Bodies." In Proceedings of the Twenty-First Annual ACM-SIAM Symposium on Discrete Algorithms. Society for Industrial and Applied Mathematics, 2010. http://dx.doi.org/10.1137/1.9781611973075.133.

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5

Cole, Matthew O. T., Theeraphong Wongratanaphisan, and Patrick S. Keogh. "On LMI-Based Optimization of Vibration and Stability in Rotor System Design." In ASME Turbo Expo 2005: Power for Land, Sea, and Air. ASMEDC, 2005. http://dx.doi.org/10.1115/gt2005-68522.

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This paper considers optimization of rotor system design using stability and vibration response criteria. The initial premise of the study is that the effect of certain design changes can be parameterized in a system dynamic model through their influence on the system matrices obtained by finite element modeling. A suitable vibration response measure is derived by considering an unknown axial distribution of unbalance components having bounded magnitude. It is shown that the worst-case unbalance response is given by an absolute row-sum norm of the system frequency response matrix. The minimiza

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