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A revision of ”On asymptotic stability in energy space of ground states

By Scipio Cuccagna

Abstract

Abstract. This is a revision of the author’s paper ”On asymptotic stability in energy space of ground states of NLS in 1D ” [C3]. We correct an error in Lemma 5.4 [C3] and we simplify the smoothing argument. We consider even solutions of a NLS (1.1) iut + uxx + β(|u | 2)u = 0 = 0, (t, x) ∈ R × R. We assume β(t) smooth, with (H1) β(0) = β ′ (0) = 0, β ∈ C ∞ (R, R)

Year: 2013
OAI identifier: oai:CiteSeerX.psu:10.1.1.316.1806
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