Asymptotic theory for weakly non-linear wave equations in semi-infinite domains
We prove the existence and uniqueness of solutions of a class of weakly non-linear wave equations in a semi-infinite region $0le x$, $t< L/sqrt{|epsilon|}$ under arbitrary initial and boundary conditions. We also establish the asymptotic validity of formal perturbation approximations of the solut...
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Format: | Article |
Language: | English |
Published: |
Texas State University
2004-01-01
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Series: | Electronic Journal of Differential Equations |
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Online Access: | http://ejde.math.txstate.edu/Volumes/2004/07/abstr.html |