学术
一类超抛物型极限方程的非线性反应扩散问题
莫嘉琪[1,2] 谢峰[2,3]
[1]安徽师范大学数学系,安徽芜湖241000 [2]上海高校计算科学院E-究院上海交通大学研究所,上海200240 [3]东华大学应用数学系,上海200051
摘 要:
讨论了一类具有超抛物型极限方程的非线性奇摄动反应扩散问题．利用比较定理，研究了问题解的存在唯一性及其渐近性态．[著者文摘]
文章出处:
《南开大学学报：自然科学版》-2006年39卷4期 -42-46页
分 类 号:
文献标识码:
A
文章编号:
0465-7942（2006）04-0042-05
A Class of Nonlinear Singularly Perturbed Reaction Diffusion Problems with Ultra Parabolic Limiting Equations
Mo Jiaqi, Xie Feng （ 1. Department of Mathematics, Anhui Normal University, Wuhu 241000, China; 2. Division of Computational Science, E-Institutes of Shanghai Universities at SJTU, Shanghai 200240, China; 3. Department of Applied Mathematics, Donghua University, Shanghai 200051, China ）
Abstract:
The nonlinear singularly perturbed reaction diffusion problems with ultra parabolic equations are considered. Using the comparison theorem, the existence, uniqueness and its asymptotic behavior of solution for the problem are studied.[著者文摘]
Key words:
ultra parabolic equation; singular perturbation; reaction diffusion; asymptotic behavior; comparison theorem.
基金资助:
Supported by the NNSF of China （90111011, 10471039）; the National Key Project for Basics Research （2003CB415101-03, 2004CB418304）; the Key Project of the Chinese Academy of Sciences （KZCX3-SW-221） and in part by E-Institutes of Shanghai Municipal Education Commission （N. E03004）
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