Mirko Tarulli
Abstract:
In this note we prove some estimates for the resolvent of the
operator
perturbed by the differential operator
This differential operator is of short range type
and a compact perturbation of the Laplacian on
.
Also we find estimates in the space-time norm for the solution
of the wave equation with such perturbation.
Submitted July 12, 2004. Published December 7, 2004.
Math Subject Classifications: 35L05, 35J10, 35P25, 35B25, 35B34, 35B40.
Key Words: Perturbed wave equation; perturbed Schrodinger equation;
perturbed Dirac equation; resolvent; short range perturbation;
smoothing estimates.
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Mirko Tarulli Dipartimento di Matematica Universitá di Pisa Via F. Buonarroti 2, 56127 Pisa, Italy email: tarulli@mail.dm.unipi.it |
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