2024/04/08 by Stephen J. Gardiner, Gardiner, Stephen J., Tomas Sjödin +1
Engineering · Physics and Astronomy · #35J05 31B15 #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Geophysics and Sensor Technology #Quantum chaos and dynamical systems
paper · pdf · doi:10.48550/arxiv.2404.05552
openalex publication_date 2024/04/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.