High frequency scattering by a convex obstacle

DOI10.1215/S0012-7094-90-06122-8zbMath0732.35060MaRDI QIDQ808318

Maciej Zworski

Publication date: 1990

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

wave equationhigh frequency scattering

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Wave equation (35L05) Scattering theory of linear operators (47A40)

Related Items

A hybrid numerical-asymptotic boundary integral method for high-frequency acoustic scattering, Dispersion for the wave equation inside strictly convex domains. II: The general case, Dispersion for the wave equation outside a cylinder in \(\mathbb{R}^3\), The kernel of the neumann operator for a strictly diffractive analytic problem, Shift of the shadow boundary in high frequency scattering, Null form estimates for ( 1/2,1/2 ) symbols and local existence for a quasilinear Dirichlet-wave equation, On the Critical Semilinear Wave Equation Outside Convex Obstacles, Concentration of Eigenfunctions Near a Concave Boundary, On the scattering length spectrum for real analytic obstacles, \(L^ p\) regularity for the wave equation with strictly convex obstacles

Cites Work

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• Interaction of nonlinear progressing waves for semilinear wave equations
• Near peak scattering and the corrected Kirchhoff approximation for a convex obstacle
• Shift of the shadow boundary in high frequency scattering
• The Radon transform on Zoll surfaces
• Fourier integral operators. I
• The radiation pattern of a diffracted wavenear the shadow boundary
• Forward scattering by a convex obstacle
• Egoroy's theorem on a manifold with diffractive boundary
• Grazing rays and reflection of singularities of solutions to wave equations
• Uniform Asymptotic Expansion of the Field Scattered by a Convex Object at High Frequencies
• Boundary layers in the field scattered by a convex object at high frequencies
• Remarks on a paper of D. Ludwig