A class of nonlinear nonlocal singularly perturbed problems for reaction diffusion equations with boundary perturbation

作者：Mo, JQ^*; Wang, H; Lin, WT

来源：Applied Mathematics and Mechanics (English Edition ), 2005, 26(12): 1664-1668.

DOI：10.1007/BF03246277

• nonlinear
• reaction diffusion
• singular perturbation

A class of nonlinear nonlocal for singularly perturbed Robin initial boundary value problems for reaction diffusion equations with boundary perturbation is considered. Under suitable conditions, first, the outer solution of the original problem was obtained. Secondly, using the stretched variable, the composing expansion method and the expanding theory of power series the initial layer was constructed. Finally, using the theory of differential inequalities the asymptotic behavior of solution for the initial boundary value problems was studied, and educing some relational inequalities the existence and uniqueness of solution for the original problem and the uniformly valid asymptotic estimation were discussed.

• 出版日期2005-12
• 单位上海交通大学; 上海大学; 安徽师范大学; 中国气象科学研究院; 中国科学院大气物理研究所