THE SINGLE-POINT QUENCHING OF NONLINEAR DEGENERATE FUNCTIONAL REACTION-DIFFUSION EQUATION
THE SINGLE-POINT QUENCHING OF NONLINEAR DEGENERATE FUNCTIONAL REACTION-DIFFUSION EQUATION
摘要
This article is concerned with the quenching phenomena of the nonlinear degenerate functional reaction-diffusion equation. Some results are obtained on the single-point quenching and the uniqueness of quenching.
This article is concerned with the quenching phenomena of the nonlinear degenerate functional reaction-diffusion equation. Some results are obtained on the single-point quenching and the uniqueness of quenching.
基金
supported by NSF of Shandong Province
参考文献10
-
1C. Chan.Computation of the critical domain for quenching in an elliptic plate[].Neural Parallel Sci Comput.1993
-
2C. Chan,L. Ke.Parabolic quenching for nonsmooth convex domains[].Journal of Mathematical Analysis and Applications.1994
-
3C. Chan,,K. Nip.Quenching for coupled degenerate parabolic equations[].Nonlinear Problems in Applied Math.1996
-
4C. Kirk,C. Roberts.A review of quenching results in the context of nonlinear volterra equations[].Dyn Contin Discrete Imluls Syst Ser A Math Anal.2003
-
5S. Yuen.Quenching rates for degenerate semilinear parabolic equations[].Dyn Systems Appl.1997
-
6Acker,A.,Walter,W.The quenching problem for nonlinear parabolic equations[].Lecture Notes in Mathematics.1976
-
7Chan C,Kaper H.Quenching for semilinear sigular parabolic problems[].SIAM Journal on Mathematical Analysis.1989
-
8C. Y. Chan,and P. C. Kong.Channel ?ow of a viscous ?uid in the boundarylayer[].Quarterly Appl Math.1997
-
9C. Y. Chan,and P. C. Kong.Impulsive quenching for degenerate parabolic equa-tions[].Journal of Mathematical Analysis and Applications.1996
-
10C. Y. Chan,and P. C. Kong.Solution profiles beyond quenching for degeneratereaction-diffusion problems[].Nonlinear Analysis.1995
-
1Ma Zhongtai (School of Mathematics and Information Science, Shandong Institute of Business and Technology, Yantai 264005).QUENCHING PROBLEMS OF DEGENERATE FUNCTIONAL REACTION-DIFFUSION EQUATION[J].Annals of Differential Equations,2006,22(3):333-338.
-
2XU Chen-mei.Improving the Stability Problem of the Finite Difference Scheme for Reaction-diffusion Equation[J].Chinese Quarterly Journal of Mathematics,2008,23(3):403-408. 被引量:2
-
3CUI Guo-zhong,GAO Yah-ling,GUO Cong-zhou.Blow-up for a Class of Degenerate Reaction-diffusion Equation with Nonlocal Source[J].Chinese Quarterly Journal of Mathematics,2010(3):352-359. 被引量:2
-
4Xin-min Xiang.A Class Hermite Pseudospectral Approximate with ω(x) ≡ 1 and Application to Reaction-diffusion Equation[J].Acta Mathematicae Applicatae Sinica,2010,26(3):405-414. 被引量:2
-
5ZHAO Xueqing WANG Xiaoming ZHANG Lichen.Reaction-Diffusion Equation Based Image Denoising Algorithm[J].Chinese Journal of Electronics,2012,21(3):495-499. 被引量:2
-
6王立文,陈庆益.ON REACTION-DIFFUSION EQUATION WITH ABSORPTION[J].Acta Mathematica Scientia,1993,13(2):147-152.
-
7YU YanYan,DENG WeiHua,WU YuJiang.Positivity and boundedness preserving schemes for the fractional reaction-difusion equation[J].Science China Mathematics,2013,56(10):2161-2178. 被引量:2
-
8ZhangXingyou HuXiaohong.GLOBAL ATTRACTORS OF REACTION-DIFFUSION SYSTEMS AND THEIR HOMOGENIZATION[J].Journal of Partial Differential Equations,2004,17(1):80-88. 被引量:5
-
9T. Funaki.Singular Limit for Stochastic Reaction-Diffusion Equation and Generation of Random Interfaces[J].Acta Mathematica Sinica,English Series,1999,15(3):407-438. 被引量:1
-
10Xiu-xiang Liu Pei-xuan Weng.Asymptotic Speed of Wave Propagation for A Discrete Reaction-Diffusion Equation[J].Acta Mathematicae Applicatae Sinica,2006,22(3):369-386. 被引量:1