Work

Partial Balayage for the Helmholtz Equation

Year: 2025

Type: article

Abstract: Kow, Larson, Salo and Shahgholian recently initiated the study of quadrature domains for the Helmholtz equation and developed an associated theory of partial balayage of measures. The present paper offers an alternative approach to partial balayage in this context that yields stronger results. Applications are given to quadrature domains and to a domain evolution question that is analogous to Hele-Shaw flow.

Source: Potential Analysis

DOI: 10.1007/s11118-025-10217-0

Authors: Stephen J. Gardiner, Tomas Sjödin

Institutions: University College Dublin, Linköping University

Language: English

Topic: Holomorphic and Operator Theory

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funder: Linköpings Universitet