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MR2207548 (2007d:35224) 35Q40 (35B45 35J10 37L99)
Cazenave, Thierry; Weissler, Fred B. Spatial decay and time-asymptotic profiles for solutions of Schrödinger equations. Indiana Univ. Math. J. 55 (2006), no. 1, 75–118.
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