On the wave equation with a large rough potential |
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| Authors: | Piero D&rsquo ancona,Vittoria Pierfelice |
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| Affiliation: | a Università di Roma “La Sapienza”, Dipartimento di Matematica, Piazzale A. Moro 2, I-00185 Roma, Italy
b Università di Pisa, Dipartimento di Matematica, Via Buonarroti 2, I-56127 Pisa, Italy |
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| Abstract: | We prove an optimal dispersive L∞ decay estimate for a three-dimensional wave equation perturbed with a large nonsmooth 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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| Keywords: | 35L05 35L70 58J4558J50 |
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