Volume 24, Issue 1
Decay of Solutions to a 2D Schrodinger Equation

Tarek Saanouni


J. Part. Diff. Eq., 24 (2011), pp. 37-54.

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  • 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.

Published online: 2011-02