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

DOI10.1137/15M102530XzbMath1341.35013arXiv1504.01037MaRDI QIDQ3462484

Dean Baskin, Jared Wunsch, Euan A. Spence

Publication date: 15 January 2016

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.01037

zbMATH Keywords

Helmholtz equationDirichlet-to-Neumann maphigh frequencysharp bounds on the solution

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Diffraction, scattering (78A45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38)

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Uses Software

• DLMF

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