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 | 2025-09-09T01:31:29Z | |
| dc.date.available | 2021-08-16T22:33:15Z | |
| dc.date.issued | 2016-03 | |
| 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.description.sponsorship | CNPq - Conselho Nacional de Desenvolvimento Científico e Tecnológico | |
| dc.description.sponsorship | FAPEMIG - Fundação de Amparo à Pesquisa do Estado de Minas Gerais | |
| dc.identifier.doi | DOI 10.1007/s00028-015-0298-y | |
| dc.identifier.issn | 1424-3199 | |
| dc.identifier.uri | https://hdl.handle.net/1843/37527 | |
| dc.language | eng | |
| dc.publisher | Universidade Federal de Minas Gerais | |
| dc.relation.ispartof | Journal of Evolution Equations (printed ed.) | |
| dc.rights | Acesso Restrito | |
| dc.subject | Problema de valor inicial | |
| dc.subject | Schrodinger, Equação de | |
| dc.subject.other | Inhomogeneous nonlinear Schrodinger equation | |
| dc.subject.other | Initial Value Problem | |
| dc.subject.other | Nirenberg Inequality | |
| dc.subject.other | 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 | |
| local.citation.epage | 208 | |
| local.citation.issue | 1 | |
| local.citation.spage | 193 | |
| local.citation.volume | 16 | |
| local.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). | |
| local.identifier.orcid | https://orcid.org/0000-0003-1034-3480 | |
| local.publisher.country | Brasil | |
| local.publisher.department | ICX - DEPARTAMENTO DE MATEMÁTICA | |
| local.publisher.initials | UFMG | |
| local.url.externa | https://link.springer.com/article/10.1007/s00028-015-0298-y |
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