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

dc.creator	Luiz Gustavo Farah Dias
dc.date.accessioned	2021-08-16T22:33:15Z
dc.date.accessioned	2022-10-03T22:13:12Z
dc.date.available	2021-08-16T22:33:15Z
dc.date.available	2022-10-03T22:13:12Z
dc.date.created	2021-08-16T22:33:15Z
dc.date.issued	2016-03
dc.identifier	DOI 10.1007/s00028-015-0298-y
dc.identifier	1424-3199
dc.identifier	http://hdl.handle.net/1843/37527
dc.identifier	https://orcid.org/0000-0003-1034-3480
dc.identifier.uri	http://repositorioslatinoamericanos.uchile.cl/handle/2250/3796179
dc.description.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).
dc.publisher	Universidade Federal de Minas Gerais
dc.publisher	Brasil
dc.publisher	ICX - DEPARTAMENTO DE MATEMÁTICA
dc.publisher	UFMG
dc.relation	Journal of Evolution Equations (printed ed.)
dc.rights	Acesso Restrito
dc.subject	Inhomogeneous nonlinear Schrodinger equation
dc.subject	Initial Value Problem
dc.subject	Nirenberg Inequality
dc.subject	Maximum Existence Time
dc.title	Global well-posedness and blow-up on the energy space for the inhomogeneous nonlinear schrödinger equation
dc.type	Artigo de Periódico