Asymptotic Theory for Weakly Non-linear Wave Equations in Semi-infinite Domains
نویسنده
چکیده
We prove the existence and uniqueness of solutions of a class of weakly non-linear wave equations in a semi-infinite region 0 ≤ x, t < L/ √ | | under arbitrary initial and boundary conditions. We also establish the asymptotic validity of formal perturbation approximations of the solutions in this region.
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تاریخ انتشار 2003