Carpio Rodríguez, Ana María (1994) Existence of global-solutions to some nonlinear dissipative wave-equations. Journal de Mathématiques Pures et Appliquées, 73 (5). pp. 471-488. ISSN 0021-7824
Official URL: http://www.sciencedirect.com/science/journal/00217824
Abstract
Let Omega be a smooth bounded domain. We prove existence of global solutions, i.e., solutions defined for all t epsilon R, for dissipative wave equations of the form: u'' - Delta u + \u'\(p-1) u' = 0 in Omega x (-infinity, infinity), p > 1, with Dirichlet boundary conditions. When Omega is unbounded the same existence result holds for p greater than or equal to 2.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Global solutions; dissipative wave equations |
| Subjects: | Sciences > Mathematics > Differential equations |
| ID Code: | 15194 |
| Deposited On: | 11 May 2012 09:51 |
| Last Modified: | 11 May 2012 09:51 |
Repository Staff Only: item control page
