二阶非线性抛物型偏微分方程初边值问题的奇摄动

Singularly Perturbed Initl Boundary ValueProblems for Second Order Nonlinear ParabolicPartial Differential Equations

本文讨论一类二阶非线性抛物型偏微分方程初边值问题的奇摄动解法，设其中ε＞０是小参数，给出了上述问题的解的渐近展开式利用比较定理证明了解的一致有效性。

Singular perturbation for a class of initial boundary value problemsof second order semilinear parabolic equations is studied, asymptotic expansions so-lutions of the equations are given and use comparison theorem proved uniformlyvalid asymptotic expansions of the solutions.