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

Luiz Gustavo Farah Dias

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

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DC Field	Value	Language
dc.creator	Luiz Gustavo Farah Dias	pt_BR
dc.date.accessioned	2021-08-16T22:33:15Z	-
dc.date.available	2021-08-16T22:33:15Z	-
dc.date.issued	2016-03	-
dc.citation.volume	16	pt_BR
dc.citation.issue	1	pt_BR
dc.citation.spage	193	pt_BR
dc.citation.epage	208	pt_BR
dc.identifier.doi	DOI 10.1007/s00028-015-0298-y	pt_BR
dc.identifier.issn	1424-3199	pt_BR
dc.identifier.uri	http://hdl.handle.net/1843/37527	-
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).	pt_BR
dc.description.resumo	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).	pt_BR
dc.description.sponsorship	CNPq - Conselho Nacional de Desenvolvimento Científico e Tecnológico	pt_BR
dc.description.sponsorship	FAPEMIG - Fundação de Amparo à Pesquisa do Estado de Minas Gerais	pt_BR
dc.language	eng	pt_BR
dc.publisher	Universidade Federal de Minas Gerais	pt_BR
dc.publisher.country	Brasil	pt_BR
dc.publisher.department	ICX - DEPARTAMENTO DE MATEMÁTICA	pt_BR
dc.publisher.initials	UFMG	pt_BR
dc.relation.ispartof	Journal of Evolution Equations (printed ed.)	pt_BR
dc.rights	Acesso Restrito	pt_BR
dc.subject	Inhomogeneous nonlinear Schrodinger equation	pt_BR
dc.subject	Initial Value Problem	pt_BR
dc.subject	Nirenberg Inequality	pt_BR
dc.subject	Maximum Existence Time	pt_BR
dc.subject.other	Problema de valor inicial	pt_BR
dc.subject.other	Schrodinger, Equação de	pt_BR
dc.title	Global well-posedness and blow-up on the energy space for the inhomogeneous nonlinear schrödinger equation	pt_BR
dc.type	Artigo de Periódico	pt_BR
dc.url.externa	https://link.springer.com/article/10.1007/s00028-015-0298-y	pt_BR
dc.identifier.orcid	https://orcid.org/0000-0003-1034-3480	pt_BR
Appears in Collections:	Artigo de Periódico

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