Stability estimates for a class of Helmholtz problems

Ulrich Hetmaniuk

Type: Article

Publication Date: 2007-01-01

Citations: 108

DOI: https://doi.org/10.4310/cms.2007.v5.n3.a8

Abstract

This paper presents new stability estimates for the scalar Helmholtz equation with a complex-valued Robin boundary condition as well as Dirichlet and Neumann boundary conditions.For each estimate, we state the explicit dependency of constants on the wave number.To deal with mixed boundary conditions, we impose geometrical constraints on the two-dimensional or threedimensional bounded domain.

Locations

Communications in Mathematical Sciences - View - PDF
Project Euclid (Cornell University) - View - PDF

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