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Domínguez, Víctor; Sayas, Francisco-Javier

Some properties of layer potentials and boundary integral operators for the wave equation. (English) Zbl 1277.35082

J. Integral Equations Appl. 25, No. 2, 253-294 (2013).
Summary: 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.

Cited in 13 Documents

MSC:

35B45 A priori estimates in context of PDEs
35L05 Wave equation
31B10 Integral representations, integral operators, integral equations methods in higher dimensions
31B35 Connections of harmonic functions with differential equations in higher dimensions
34K08 Spectral theory of functional-differential operators

Keywords:

acoustic wave equation; retarded integral operators; time-domain estimates; Laplace transform
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\textit{V. Domínguez} and \textit{F.-J. Sayas}, J. Integral Equations Appl. 25, No. 2, 253--294 (2013; Zbl 1277.35082)
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