CAJ | 학술논문

研究了一类广义奇摄动反应扩散方程初始边值问题。在适当的假设下，考虑了退化问题的广义解，然后利用广义函数理论构造了原问题的冲击层和边界层渐近解。再利用不动点定理证明了具有广义内部冲击层的渐近解的一致有效性。
연구료일류엄의기섭동반응확산방정초시변치문제。재괄당적가설하，고필료퇴화문제적엄의해，연후이용엄의함수이론구조료원문제적충격층화변계층점근해。재이용불동점정리증명료구유엄의내부충격층적점근해적일치유효성。
A class of singular perturbation problem of the reaction diffusion initial value equation was studied .Under suitable conditions ,the generalized outer solution to reduced problems was considered . Then the interior shock and boundary layer correction solutions to the original problem were constructed by using the theory of generalized functions .Finally ,using the fixed point theorem ,the uniform validity of the generalized asymptotic solution with interior shock and initial layers was proved .