Forward scattering by a convex obstacle

DOI10.1002/cpa.3160330402zbMath0435.35066OpenAlexW2155269220MaRDI QIDQ3874633

Richard B. Melrose

Publication date: 1980

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cpa.3160330402

zbMATH Keywords

scattering theoryasymptotic behavior of solutionsspectral theoremcomplete asymptotic expansionconvex obstacleforward scatteringDirichlet scattering amplitude

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Scattering theory for PDEs (35P25)

Related Items

Scattering amplitude and algorithm for solving the inverse scattering problem for a class of non-convex obstacles, Unnamed Item, Hamiltonian geodesics in nonholonomic differential systems, The radiation pattern of a diffracted wavenear the shadow boundary, Asymptotic behavior of the scattering phase for non-trapping obstacles, Shift of the shadow boundary in high frequency scattering, Asymptotic behaviour of the phase in non-smooth obstacle scattering, Singularities of Lagrangian varieties and related topics, A Priori Estimates for High Frequency Scattering by Obstacles of Arbitrary Shape, Wa vefront sets of extensions of solutions to diffractive boundary problems., On uniqueness in th invese transmission scattering problem, Sharp polynomial bounds on the number of scattering poles of radial potentials, Representation of the scattering operator for dissipative hyperbolic systems, Symplectic geometry, High frequency scattering by a convex obstacle, Near peak scattering and the corrected Kirchhoff approximation for a convex obstacle

Cites Work

• Equivalence of glancing hypersurfaces. II