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On the wave equation with a large rough potential

Piero D'Ancona·Vittoria Pierfelice
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Abstract

We prove an optimal dispersive $L^{\infty}$ decay estimate for a three dimensional wave equation perturbed with a large non smooth potential belonging to a particular Kato class. The proof is based on a spectral representation of the solution and suitable resolvent estimates for the perturbed operator.

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Piero D'Ancona, Vittoria Pierfelice. 2005-05-10. On the wave equation with a large rough potential. https://arxiv.org/abs/math/0310199

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