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arXiv 2003-10-14 0 views

On the wave equation with a large rough potential

D'Ancona, Piero · Pierfelice, Vittoria

Original · EN

We prove an optimal dispersive L∞ 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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