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

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

2011-10-19

arxiv.org/abs/1110.4399v1

Mathematics

Analysis of PDEs

29 pages

Scientific paper

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 theory of evolution equations and improve known estimates that use the
Laplace transform.

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