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42

SIAMMA
2016

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Sharp High-Frequency Estimates for the Helmholtz Equation and Applications to Boundary Integral Equations

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Sharp High-Frequency Estimates for the Helmholtz Equation and Applications to Boundary Integral Equations

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We consider three problems for the Helmholtz equation in interior and exterior domains in Rd , (d = 2, 3): the exterior Dirichlet-to-Neumann and Neumannto-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.

Dean Baskin, Euan A. Spence, Jared Wunsch

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Added	09 Apr 2016
Updated	09 Apr 2016
Type	Journal
Year	2016
Where	SIAMMA
Authors	Dean Baskin, Euan A. Spence, Jared Wunsch

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