An overdetermined problem for the Helmholtz equation

DOI10.1090/S0002-9939-2013-11867-8zbMath1277.35266MaRDI QIDQ2862191

Robert Dalmasso

Publication date: 14 November 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Helmholtz equationoverdetermined elliptic boundary value problem

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Overdetermined systems of PDEs with constant coefficients (35N05)

Cites Work

• Some results on the schiffer conjecture in \(R^2\)
• Symmetry and related properties via the maximum principle
• An inverse spectral theorem and its relation to the Pompeiu problem
• Saddle points and overdetermined problems for the Helmholtz equation
• Elliptic partial differential equations of second order
• Boundary regularity for a family of overdetermined problems for the Helmholtz equation.
• A symmetry problem in potential theory
• A new result on the Pompeiu problem
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