Large Time Behavior of Solutions to Difference Wave Operators |
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| Authors: | H Islami |
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| Institution: | Department of Mathematics and Statistics , University of North Carolina at Charlotte , Charlotte, North Carolina, USA |
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| Abstract: | ABSTRACT 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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| Keywords: | Cauchy problem Difference wave operator Large time asymptotics Lattice |
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