On the wave equation with a large rough potential

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.

Major revision, corrected & augmented - 32 pages

Cited by in corpus (1)

• Dispersive estimates for the three-dimensional Schroedinger equation with rough potentials