| dc.contributor | Santos Filho, José Ruidival Soares dos | |
| dc.contributor | http://lattes.cnpq.br/6112529384454347 | |
| dc.creator | Farias, Marcos Alves de | |
| dc.date.accessioned | 2011-10-13 | |
| dc.date.accessioned | 2016-06-02T20:28:26Z | |
| dc.date.available | 2011-10-13 | |
| dc.date.available | 2016-06-02T20:28:26Z | |
| dc.date.created | 2011-10-13 | |
| dc.date.created | 2016-06-02T20:28:26Z | |
| dc.date.issued | 2011-05-27 | |
| dc.identifier | FARIAS, Marcos Alves de. O problema de Cauchy para a equação da onda cúbica. 2011. 84 f. Dissertação (Mestrado em Ciências Exatas e da Terra) - Universidade Federal de São Carlos, São Carlos, 2011. | |
| dc.identifier | https://repositorio.ufscar.br/handle/ufscar/5878 | |
| dc.description.abstract | In this work, we study the result of global well-Posedness for the cubic wave equation @2 t u��_u+u3 = 0 in R_R3, where the Cauchy data is in the Sobolev space Hs(R3)_ Hs��1(R3) with 13 18 < s < 1. The proof is based on the work of T. Roy, [23], in this paper Roy propose a almost conservation law for the energy and from this he get a inequality that together with the local well-posedness theory proved by Lindbald and Sogge in [18] guarantee the global well-posedness for the problem. | |
| dc.publisher | Universidade Federal de São Carlos | |
| dc.publisher | BR | |
| dc.publisher | UFSCar | |
| dc.publisher | Programa de Pós-Graduação em Matemática - PPGM | |
| dc.rights | Acesso Aberto | |
| dc.subject | Equações diferenciais parciais | |
| dc.subject | Análise harmônica | |
| dc.subject | Teoria das distribuições - análise funcional | |
| dc.subject | Cubic wave equation | |
| dc.subject | Homogeneous littlewood-paley decomposition | |
| dc.subject | Strichartz estimates | |
| dc.subject | Mollified energy | |
| dc.title | O problema de Cauchy para a equação da onda cúbica | |
| dc.type | Tesis | |
