Existence of global solutions to a quasilinear wave equation with general nonlinear damping
In this paper we prove the existence of a global solution and study its decay for the solutions to a quasilinear wave equation with a general nonlinear dissipative term by constructing a stable set in $H^{2}cap H_{0}^{1}$. Submitted July 02, 2002. Published October 26, 2002. Math Subject Classificat...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2002-10-01
|
| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2002/91/abstr.html |
| Summary: | In this paper we prove the existence of a global solution and study its decay for the solutions to a quasilinear wave equation with a general nonlinear dissipative term by constructing a stable set in $H^{2}cap H_{0}^{1}$. Submitted July 02, 2002. Published October 26, 2002. Math Subject Classifications: 35B40, 35L70, 35B37. Key Words: Quasilinear wave equation; global existence; asymptotic behavior; nonlinear dissipative term; multiplier method. |
|---|---|
| ISSN: | 1072-6691 |