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We consider the scalar Helmholtz equation with variable, discontinuous coefficients, modeling transmission of acoustic waves through an anisotropic penetrable obstacle. We first prove a well-posedness result and a...
We consider the Helmholtz transmission problem with one penetrable star-shaped Lipschitz obstacle. Under a natural assumption about the ratio of the wavenumbers, we prove bounds on the solution in terms of the data, with...
We consider the Helmholtz transmission problem with one penetrable star-shaped Lipschitz obstacle. Under a natural assumption about the ratio of the wavenumbers, we prove bounds on the solution in terms of the data, with...
We consider the exterior Dirichlet problem for the heterogeneous Helmholtz equation, i.e. the equation ∇⋅(A∇u)+k 2nu=−f where both A and n are functions of position. We prove new a priori bounds on the solution...
We consider the scalar Helmholtz equation with variable, discontinuous coefficients, modeling transmission of acoustic waves through an anisotropic penetrable obstacle. We first prove a well-posedness result and a...
We consider the exterior Dirichlet problem for the heterogeneous Helmholtz equation, i.e. the equation ∇⋅(A∇u)+k 2nu=−f where both A and n are functions of position. We prove new a priori bounds on the solution...