Estimates for damped fractional wave equations and applications
In our previous article [1] we estimated the L^p-norm ($p\geq 1$) of the solution to damped fractional wave equation. In this article, we prove other L^p estimates, with some emphasis on requiring less regularity of the initial data. We also study the Strichartz type estimate of this equation. F...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2015-06-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2015/162/abstr.html |
| Summary: | In our previous article [1] we estimated the L^p-norm ($p\geq 1$) of the
solution to damped fractional wave equation. In this article,
we prove other L^p estimates, with some emphasis on requiring less
regularity of the initial data. We also study the Strichartz type estimate
of this equation. Finally we present some application of these estimates,
for proving existence of global solutions to semilinear damped fractional
wave equations. |
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| ISSN: | 1072-6691 |