Global well-posedness and blow-up on the energy space for the inhomogeneous nonlinear schrödinger equation

Please use this identifier to cite or link to this item: http://hdl.handle.net/1843/37527

Type:	Artigo de Periódico
Title:	Global well-posedness and blow-up on the energy space for the inhomogeneous nonlinear schrödinger equation
Authors:	Luiz Gustavo Farah Dias
Abstract:	We consider the supercritical inhomogeneous nonlinear Schrödinger equation i∂tu + u + \|x\| − b \|u\| 2σu = 0,where (2−b) / N <σ < (2−b) / (N−2) and 0 < b < min {2, N}. We prove a Gagliardo–Nirenberg-type estimate and use it to establish sufficient conditions for global existence and blow-up in H1 (RN).
Abstract:	Consideramos a equação de Schrödinger não linear não-homogênea supercrítica i∂tu + u + \| x \| - b \| u \| 2σu = 0, onde (2 − b) / N <σ <(2 − b) / (N − 2) e 0 <b <min {2, N}. Provamos uma estimativa do tipo Gagliardo-Nirenberg e a usamos para estabelecer condições suficientes para a existência global e explosão em H1 (RN).
Subject:	Problema de valor inicial Schrodinger, Equação de
language:	eng
metadata.dc.publisher.country:	Brasil
Publisher:	Universidade Federal de Minas Gerais
Publisher Initials:	UFMG
metadata.dc.publisher.department:	ICX - DEPARTAMENTO DE MATEMÁTICA
Rights:	Acesso Restrito
metadata.dc.identifier.doi:	DOI 10.1007/s00028-015-0298-y
URI:	http://hdl.handle.net/1843/37527
Issue Date:	Mar-2016
metadata.dc.url.externa:	https://link.springer.com/article/10.1007/s00028-015-0298-y
metadata.dc.relation.ispartof:	Journal of Evolution Equations (printed ed.)
Appears in Collections:	Artigo de Periódico

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