Some properties of layer potentials and boundary integral operators for\n the wave equation

2011/10/19 by Vı́ctor Domínguez, Dominguez, Victor, Francisco‐Javier Sayas +1
Computer Science · Engineering · Mathematics · #31B10 #31B35 #34K08 #35L05 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.1110.4399

openalex publication_date 2011/10/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this work we establish some new estimates for layer potentials of the\nacoustic wave equation in the time domain, and for their associated retarded\nintegral operators. These estimates are proven using time-domain estimates\nbased on theory of evolution equations and improve known estimates that use the\nLaplace transform.\n

Related

• On the stability of time-domain integral equations for acoustic wave\n propagation
• The Costabel-Stephan system of Boundary Integral Equations in the Time Domain
• Stable skeleton integral equations for general coefficient Helmholtz transmission problems
• Condition number estimates for combined potential integral operators in acoustics and their boundary element discretisation
• Wavenumber-explicit regularity estimates on the acoustic single- and\n double-layer operators