Existence and uniqueness of local weak solutions for the Emden-Fowler wave equation in one dimension
In this article we consider the existence and uniqueness of local weak solutions to the Emden-Fowler type wave equation $$ t^ 2 u_{tt} -u_{{xx}}=|u|^{p-1}u\quad\text{in }[1,T]\times (a,b) $$ with initial-boundary value conditions in a finite time interval.
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| Format: | Article |
| Language: | English |
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Texas State University
2015-06-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2015/145/abstr.html |