Year: 2001
Journal of Partial Differential Equations, Vol. 14 (2001), Iss. 1 : pp. 61–70
Abstract
In this article we prove that the following NLS iu_t = u_{zz}-g|u|^{P-1}u,g > O, x, t > 0 with either Dirichlet or Robin boundary condition at x = 0 is well-posed. L^{p + 1} decay estimates, blow-up theorem and numerical results are also given.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2001-JPDE-5469
Journal of Partial Differential Equations, Vol. 14 (2001), Iss. 1 : pp. 61–70
Published online: 2001-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Nonlinear Schrödinger equation