BIP! Finder - A Fujita-type blowup result and low energy scattering for a nonlinear Schrödinger equation

2015 • A Fujita-type blowup result and low energy scattering for a nonlinear Schrödinger equation

Authors: Cazenave, Thierry; Correia, Simão; Dickstein, Flavio; Weissler, Fred B.

Venue: São Paulo Journal of Mathematical Sciences

Type: Publication

Abstract: In this paper we consider the nonlinear Schr��\-din\-ger equation $i u_t +��u +��|u|^��u=0$. We prove that if $��\frac {2} {N}$ and $��\in {\mathbb C}$, we improve the existing low energy scattering results in dimensions $N\ge 7$. More precisely, we prove that if $ \frac {8} {N + \sqrt{ N^2 +16N }} < ��\le \frac {4} {N} $, then small data give rise to global, scattering solutions in $H^1$.

Impact:

7.1744775E-9 4.0002934E-9 12 3

/ Attention: 0 23

Topics: Mathematical physics Combinatorics Mathematical analysis

DOI: 10.1007/s40863-015-0020-6

External links: Crossref OpenAIRE

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