The influence of oscillations on global existence for a class of semi-linear wave equations
| Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
|---|---|
| Data(s) |
19/10/2012
19/10/2012
2011
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| Resumo |
The goal of this paper is to study the global existence of small data solutions to the Cauchy problem for the nonlinear wave equation u(tt) - a(t)(2) Delta u = u(t)(2) - a(t)(2)vertical bar del u vertical bar(2). In particular we are interested in statements for the 1D case. We will explain how the interplay between the increasing and oscillating behavior of the coefficient will influence global existence of small data solutions. Copyright c 2011 John Wiley & Sons, Ltd. German Research Foundation (DAAD) Brazilian Research Foundation (FAPESP) |
| Identificador |
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, v.34, n.11, p.1289-1307, 2011 0170-4214 http://producao.usp.br/handle/BDPI/20942 10.1002/mma.1430 |
| Idioma(s) |
eng |
| Publicador |
WILEY-BLACKWELL |
| Relação |
Mathematical Methods in the Applied Sciences |
| Direitos |
restrictedAccess Copyright WILEY-BLACKWELL |
| Palavras-Chave | #semi-linear wave equations #Cauchy problem #second-order wave equations #global existence #small data solutions #BEHAVIOR #PROPAGATION #ENERGY #SPEED #Mathematics, Applied |
| Tipo |
article original article publishedVersion |
