Easwaran, Chirakkal V.2021-04-052021-04-052004-01-02Easwaran, C. V. (2004). Asymptotic theory for weakly non-linear wave equations in semi-infinite domains. <i>Electronic Journal of Differential Equations, 2004</i>(7), pp. 1-8.1072-6691https://hdl.handle.net/10877/13326We 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.Text8 pages1 file (.pdf)enAttribution 4.0 InternationalMultiple scalePerturbationNon-linear, wavesAsymptoticArticle