An ill-posed boundary value problem for the Helmholtz equation on Lipschitz domains
نویسندگان
چکیده
منابع مشابه
An ill-posed boundary value problem for the Helmholtz equation on Lipschitz domains
The paper is concerned with properties of an ill-posed problem for the Helmholtz equation when Dirichlet and Neumann conditions are given only on a part Γ of the boundary ∂Ω. We present an equivalent formulation of this problem in terms of a moment problem defined on the part of the boundary where no boundary conditions are imposed. Using a weak definition of the normal derivative, we prove the...
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ژورنال
عنوان ژورنال: Journal of Inverse and Ill-posed Problems
سال: 2009
ISSN: 0928-0219,1569-3945
DOI: 10.1515/jiip.2009.041