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Resolvent estimates for wave operators in Lipschitz domains. (English) Zbl 1473.35115

Summary: In this paper we study the resolvent of wave operators on open and bounded Lipschitz domains of \(\mathbb{R}^N\) with Dirichlet or Neumann boundary conditions. We give results on existence and estimates of the resolvent for the real and complex cases.

MSC:

35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
35J25 Boundary value problems for second-order elliptic equations
35A01 Existence problems for PDEs: global existence, local existence, non-existence
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