Sharp high-frequency estimates for the Helmholtz equation and applications to boundary integral equations

Dean Baskin, Euan A. Spence, Jared Wunsch

Research output: Contribution to journalArticle

19 Citations (Scopus)
132 Downloads (Pure)

Abstract

We consider three problems for the Helmholtz equation in interior and
exterior domains in R^d, (d = 2, 3): the exterior Dirichlet-to-Neumann and Neumann-to-Dirichlet problems for outgoing solutions, and the interior impedance problem. We derive sharp estimates for solutions to these problems that, in combination, give bounds on the inverses of the combined-field boundary integral operators for exterior Helmholtz problems.
Original languageEnglish
Pages (from-to)229-267
JournalSIAM Journal on Mathematical Analysis (SIMA)
Volume48
Issue number1
DOIs
Publication statusPublished - 2016

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