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SUMMER 2013 Some properties of layer potentials and boundary integral operators for the wave equation
Víctor Domínguez, Francisco-Javier Sayas
J. Integral Equations Applications 25(2): 253-294 (SUMMER 2013). DOI: 10.1216/JIE-2013-25-2-253

Abstract

In this work we establish some new estimates for layer potentials of the acoustic wave equation in the time domain, and for their associated retarded integral operators. These estimates are proven using time-domain estimates based on the theory of evolution equations and improve known estimates that use the Laplace transform.

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Víctor Domínguez. Francisco-Javier Sayas. "Some properties of layer potentials and boundary integral operators for the wave equation." J. Integral Equations Applications 25 (2) 253 - 294, SUMMER 2013. https://doi.org/10.1216/JIE-2013-25-2-253

Information

Published: SUMMER 2013
First available in Project Euclid: 4 November 2013

zbMATH: 1277.35082
MathSciNet: MR3161614
Digital Object Identifier: 10.1216/JIE-2013-25-2-253

Subjects:
Primary: 35L05
Secondary: 31B10 , 31B35 , 34K08

Rights: Copyright © 2013 Rocky Mountain Mathematics Consortium

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Vol.25 • No. 2 • SUMMER 2013
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