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Decay of Solutions to a 2D Schrodinger Equation
Journal article

Decay of Solutions to a 2D Schrodinger Equation

Tarek Saanouni
Journal of partial differential equations, Vol.24(1), pp.37-54
06/2011
DOI: https://doi.org/10.4208/jpde.v24.n1.3

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
Let u is an element of C(R, H-1) be the solution to the initial value problem for a 2D semilinear Schrodinger equation with exponential type nonlinearity, given in [1]. We prove that the L-r norms of u decay as t -> +/-infinity, provided that r>2.

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