The study for generalized asymptotic solution to nonlinear ultra parabolic equation
HAN Xian-lin1 , MO Jiq-qi2
1. Faculty of Science, Huzhou University, Huzhou 313000, China 2. School of Mathematics & Compoter Science, Anhui Normal University, Wuhu 241003, China
Abstract A class of nonlinear singularly perturbed initial-boundary value problem with ultra parabolic equation is considered. Firstly, the comparison theorem is introduced for corresponding problem. Then the formally asymptotic solution is constructed by using the singular perturbation method. Finally, using the comparison theorem, the existence and its asymptotic behavior of generalized solution for the problem are proved.
HAN Xian-lin, MO Jiq-qi. The study for generalized asymptotic solution to nonlinear ultra parabolic equation. Applied Mathematics A Journal of Chinese Universities, 2017, 32(2): 156-164.
