2021 A Source Problem for the Helmholtz Equation via a Dirichlet-to-Neumann Map
Kuo-Ming Lee
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Abstr. Appl. Anal. 2021: 1-7 (2021). DOI: 10.1155/2021/2298192

Abstract

In this paper, we consider a source problem for a time harmonic acoustic wave in two-dimensional space. Based on the boundary integral equation method, a Dirichlet-to-Neumann map in terms of boundary integral operators on the boundary of the source is constructed to transform this problem into two boundary value problems for the Helmholtz equation.

Acknowledgments

This work is partially supported by the MOST grant MOST- 109-2115-M-006-003.

Citation

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Kuo-Ming Lee. "A Source Problem for the Helmholtz Equation via a Dirichlet-to-Neumann Map." Abstr. Appl. Anal. 2021 1 - 7, 2021. https://doi.org/10.1155/2021/2298192

Information

Received: 29 June 2021; Accepted: 14 August 2021; Published: 2021
First available in Project Euclid: 28 July 2021

Digital Object Identifier: 10.1155/2021/2298192

Rights: Copyright © 2021 Hindawi

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