Pointwise estimates for solutions to a system of nonlinear damped wave equations
In this article, we consider the existence of global solutions and pointwise estimates for the Cauchy problem of a nonlinear damped wave equation. We obtain the existence by using the approach introduced by Li and Chen in [7] and some estimates of the solution. The proofs of the estimates are...
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| Format: | Article |
| Language: | English |
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Texas State University
2013-11-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2013/256/abstr.html |
| Summary: | In this article, we consider the existence of global solutions
and pointwise estimates for the Cauchy problem of a nonlinear
damped wave equation. We obtain the existence by using the
approach introduced by Li and Chen in [7]
and some estimates of the solution. The proofs of the estimates
are based on a detailed analysis of the Green function of the linear
damped wave equations. Also, we show the L^p convergence rate
of the solution. |
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| ISSN: | 1072-6691 |