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

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.

### 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
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### References:

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