On the wave equation with a large rough potential

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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.
Major revision, corrected & augmented - 32 pages

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Analysis of PDEs, Functional Analysis, 35L70; 58J45; 58J50

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http://salesiana.dossiersoluciones.com/handle/123456789/68844

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0310199
 http://arxiv.org/abs/math/0310199

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arXiv