SHARP HIGH-FREQUENCY ESTIMATES FOR THE HELMHOLTZ EQUATION AND APPLICATIONS TO BOUNDARY INTEGRAL EQUATIONS Academic Article

abstract

• 2016 Society for Industrial and Applied Mathematics. We consider three problems for the Helmholtz equation in interior and exterior domains in 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.

authors

• Baskin, Dean

published proceedings

• SIAM JOURNAL ON MATHEMATICAL ANALYSIS

author list (cited authors)

• Baskin, D., Spence, E. A., & Wunsch, J.

citation count

• 38

complete list of authors

• Baskin, Dean||Spence, Euan A||Wunsch, Jared

publication date

• January 2016

publisher

• Society for Industrial & Applied Mathematics (SIAM)  Publisher

published in

• SIAM Journal on Mathematical Analysis  Journal

keywords

• Boundary Integral Equation
• Helmholtz Equation
• High Frequency
• Scattering Theory

Digital Object Identifier (DOI)

• 10.1137/15M102530X

start page

• 229

end page

• 267

volume

• 48

issue

• 1

URL

• http://dx.doi.org/10.1137/15m102530x