Abstract

Let u∈C(R,H1) 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 Lr norms of u decay as t→±∞, provided that r>2. AMS Subject Classifications: 35L70, 35Q55, 35B40, 35B33, 37K05, 37L50 Chinese Library Classifications: O175.25

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