Decay of Solutions to a 2D Schrodinger Equation

Decay of Solutions to a 2D Schrodinger Equation

Year:    2011

Journal of Partial Differential Equations, Vol. 24 (2011), Iss. 1 : pp. 37–54

Abstract

Let u∈C(R,H^1) be the solution to the initial value problem for a 2D semilinear Schrödinger equation with exponential type nonlinearity, given in [1]. We prove that the L^r norms of u decay as t→±∞, provided that r > 2.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jpde.v24.n1.3

Journal of Partial Differential Equations, Vol. 24 (2011), Iss. 1 : pp. 37–54

Published online:    2011-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    18

Keywords:    Nonlinear Schrödinger equation