Large time behavior of the solutions to the difference wave operators

Details Large time behavior of the solutions to the difference wave operators Large time behavior of the solutions to the difference wave operators

2005-03-07

arxiv.org/abs/math/0503128v1

Mathematics

Analysis of PDEs

Scientific paper

The Cauchy problem for two dimensional difference wave operators is considered with potentials and initial data supported in a bounded region. The large time asymptotic behavior of solutions is obtained. In contrast to the continuous case (when the problem in the Euclidian space is considered, not on the lattice) the resolvent of the corresponding stationary problem has singularities on the continuous spectrum, and they contribute to the asymptotics.

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