Geometric and functional inequalities and recent topics in nonlinear PDEs : Virtual Conference on Geometric and Functional Inequalities and Recent Topics in Nonlinear PDEs, February 28 - March 1, 2021, Purdue University, West Lafayette, IN

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Geometric and functional inequalities and recent topics in nonlinear PDEs : Virtual Conference on Geometric and Functional Inequalities and Recent Topics in Nonlinear PDEs, February 28 - March 1, 2021, Purdue University, West Lafayette, IN

Emanuel Indrei, Diego Marcon, Levon Nurbekyan, editors

(Contemporary mathematics, 781)

American Mathematical Society, c2023

  • : pbk

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Includes bibliographical references

Description and Table of Contents

Description

This volume contains the proceedings of the virtual conference on Geometric and Functional Inequalities and Recent Topics in Nonlinear PDEs, held from February 28-March 1, 2021, and hosted by Purdue University, West Lafayette, IN. The mathematical content of this volume is at the intersection of viscosity theory, Fourier analysis, mass transport theory, fractional elliptic theory, and geometric analysis. The reader will encounter, among others, the following topics: the principal-agent problem; Maxwell's equations; Liouville-type theorems for fully nonlinear elliptic equations; a doubly monotone flow for constant width bodies; and the edge dislocations problem for crystals that describes the equilibrium configurations by a nonlocal fractional Laplacian equation.

Table of Contents

C. Gavrus, A deterministic counterexample for high dimensional $L^2L^\infty$ Strichartz estimates for the wave equation M. Cirant and A. Goffi, On the Liouville property for fully nonlinear equations with superlinear first-order terms S. Chen, Regularity of the solution to the principal-agent problem R. Hynd, A doubly monotone flow for constant width bodies in $\mathbb{R}^3$ S. Dipierro, S. Patrizi, and E. Valdinoci, A fractional glance to the theory of edge dislocations.

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