Open AccessExistence and uniqueness of the scattering solutions in the exterior of rough domains
Author(s) -
А. Г. Рамм,
M. Sammartino
Publication year - 2000
Publication title -
citeseer x (the pennsylvania state university)
Language(s) - English
Resource type - Reports
DOI - 10.1090/fic/025/26
Subject(s) - uniqueness , obstacle , smoothness , simple (philosophy) , mathematics , dirichlet distribution , mathematical analysis , scattering , obstacle problem , neumann boundary condition , boundary value problem , boundary (topology) , pure mathematics , physics , geography , optics , philosophy , archaeology , epistemology
A simple and short proof is given for the existence and uniqueness of the solution to the obstacle scattering problem under weak smoothness assumptions on the obstacle. The Robin, Neumann and Dirichlet boundary conditions are considered.
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