On scattering behavior of corner domains with anisotropic inhomogeneities
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Publication:6571036
DOI10.1137/23M1603029zbMATH Open1547.35198MaRDI QIDQ6571036
Pu-Zhao Kow, Henrik Shahgholian, Mikko Salo
Publication date: 11 July 2024
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Scattering theory for PDEs (35P25) Wave equation (35L05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Free boundary problems for PDEs (35R35)
Cites Work
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- The mean value theorem and basic properties of the obstacle problem for divergence form elliptic operators
- Corners always scatter
- Lower bounds at infinity for solutions of differential equations with constant coefficients
- Uniform Hölder estimates in a class of elliptic systems and applications to singular limits in models for diffusion flames
- A Harnack inequality approach to the regularity of free boundaries. I: Lipschitz free boundaries are \(C^{1,\alpha}\)
- The Green function for uniformly elliptic equations
- Eigenvalue inequalities for the Dirichlet problem on spheres and the growth of subharmonic functions
- Elliptic partial differential equations of second order
- Fundamental matrices and Green matrices for non-homogeneous elliptic systems
- Strictly convex corners scatter
- Acoustic scattering from corners, edges and circular cones
- On a class of optimal partition problems related to the Fučík spectrum and to the monotonicity formulae
- Zur Symmetrisierung von Funktionen auf Sphären
- Regularity of a free boundary with application to the Pompeiu problem
- Multiphase free discontinuity problems: monotonicity formula and regularity results
- On vanishing near corners of conductive transmission eigenfunctions
- On local and global structures of transmission eigenfunctions and beyond
- Free boundary methods and non-scattering phenomena
- Existence of viscosity solutions to two-phase problems for fully nonlinear equations with distributed sources
- Two- and multi-phase quadrature surfaces
- A note on the monotonicity formula of Caffarelli-Jerison-Kenig
- Two-phase problems with distributed sources: regularity of the free boundary
- On the regularity of non-scattering anisotropic inhomogeneities
- The free boundary in an inverse conductivity problem
- Regularity of the Free Boundary in Problems with Distributed Sources
- Geometrical structure of Laplacian eigenfunctions
- Almost monotonicity formulas for elliptic and parabolic operators with variable coefficients
- Shape Identification in Inverse Medium Scattering Problems with a Single Far-Field Pattern
- Gradient estimates for variable coefficient parabolic equations and singular perturbation problems
- Variational problems with two phases and their free boundaries
- An Introduction to Variational Inequalities and Their Applications
- Boundary behavior of solutions of elliptic operators in divergence form with a BMO anti-symmetric part
- On corner scattering for operators of divergence form and applications to inverse scattering
- Scattering by Curvatures, Radiationless Sources, Transmission Eigenfunctions, and Inverse Scattering Problems
- On the Characterization of Nonradiating Sources for the Elastic Waves in Anisotropic Inhomogeneous Media
- Review of Yau’s conjecture on zero sets of Laplace eigenfunctions
- Inverse Acoustic and Electromagnetic Scattering Theory
- Inverse Scattering Theory and Transmission Eigenvalues, Second Edition
- Singularities almost always scatter: Regularity results for non‐scattering inhomogeneities
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