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Previous issue date: 2016-04-28 / Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) / Neste trabalho, analisaremos o problema de boa colocação do problema de valor inicial para a equação semilinear do calor. Mostraremos a existência de solução global mild, quando o dado inicial u_0 pertence ao espaço L^( n(ρ−1) /2) −fraco e tem norma suficientemente pequena. / In this work, we discuss the well−posedness of the initial value problem for the semilinear heat equation. We show the existence of global mild solution, when the initial data u_0 belong to weak L^(n(ρ−1)/ 2) space with a sufficiently small norm.
| Identifer | oai:union.ndltd.org:IBICT/oai:repositorio.unesp.br:11449/139456 |
| Date | 28 April 2016 |
| Creators | Rosas, Marco Moya [UNESP] |
| Contributors | Universidade Estadual Paulista (UNESP), Pereira, Juliana Precioso [UNESP] |
| Publisher | Universidade Estadual Paulista (UNESP) |
| Source Sets | IBICT Brazilian ETDs |
| Language | Portuguese |
| Detected Language | English |
| Type | info:eu-repo/semantics/publishedVersion, info:eu-repo/semantics/masterThesis |
| Source | reponame:Repositório Institucional da UNESP, instname:Universidade Estadual Paulista, instacron:UNESP |
| Rights | info:eu-repo/semantics/openAccess |
| Relation | 600 |
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