The uniqueness of the solution of the Schrodinger equation with discontinuous coefficients
Spectral Theory
2009-10-31 v1
Abstract
Consider the Schroeodinger equation: - Du(x) - l(x)u + s(x)u = 0, where D is the Laplacian, l(x) > 0 and s(x) is dominated by l(x). We shall extend the celebrated Kato's result on the asymptotic behavior of the solution to the case where l(x) has unbounded discontinuity. The result will be used to establish the limiting absorption principle for a class of reduced wave operators with discontinuous coefficients.
Keywords
Cite
@article{arxiv.math/9811176,
title = {The uniqueness of the solution of the Schrodinger equation with discontinuous coefficients},
author = {Willi Jager and Yoshimi Saito},
journal= {arXiv preprint arXiv:math/9811176},
year = {2009}
}
Comments
29 (twenty-nine) pages; no figures; to appear in Reviews of Mathematical Physics