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An overdetermined problem for the Helmholtz equation


Author: Robert Dalmasso
Journal: Proc. Amer. Math. Soc. 142 (2014), 301-309
MSC (2010): Primary 35J05, 35R30
DOI: https://doi.org/10.1090/S0002-9939-2013-11867-8
Published electronically: October 3, 2013
MathSciNet review: 3119204
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Abstract: We give a partial answer to a conjecture concerning an overdetermined problem for the Helmholtz equation.


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Robert Dalmasso
Affiliation: Laboratoire Jean Kuntzmann, Equipe EDP, 51 rue des Mathématiques, Domaine Universitaire, BP 53, 38041 Grenoble Cedex 9, France
Address at time of publication: L’Eden, 17 Boulevard Maurice Maeterlinck, 06300 Nice, France
Email: robert.dalmasso@imag.fr

DOI: https://doi.org/10.1090/S0002-9939-2013-11867-8
Keywords: Helmholtz equation, overdetermined elliptic boundary value problem.
Received by editor(s): December 6, 2011
Received by editor(s) in revised form: March 12, 2012
Published electronically: October 3, 2013
Communicated by: James E. Colliander
Article copyright: © Copyright 2013 American Mathematical Society