一类积微分方程解的渐近性质
摘要
The asymptotic property of solutions to a class of integrodifferential systems containing a small parameter singularly is studied.
参考文献14
-
1Chen Xinfu, Generation and propagation of interfaces in reaction-diffusion equations,J Differential Equations, 96(1992), 116-141.
-
2Evans L C, Soner H M and Souganidis P E. Phase transitions and generalized motion by mean curvature, Comm Pure Appl Math, 45(1992), 1097-1123.
-
3Sorevia P and Souganidis P E. Phase-field theory for Fitzhugh-Nagumo-type systems, SIAM J Math Anal, 275(1996), 1341-1359.
-
4Jerrard R L. Fully nonlinear phase field equations and generalized mean curvature motion, Comm Partial Differential Equations, 20(1995), 233-265.
-
5Ilmanen T. Convergence of the Allen-Cahn equation to Brakke's motion by mean curvature, J Differential Geom, 38(1993), 417-461.
-
6Barles G, Soner H M and Souganidis P E. Front propagation and phase field theory, SIAM J Control Optim, 31(1993), 439-469.
-
7Fife P C and Wang X. A convolution model for interfacial motion: the generation and propagation of internal layers in higher space dimensions, Adv Differential Equations,3(1998), 85-110.
-
8Chen Xinfu, Generation and propagation of interfaces in reaction-diffusion systems,Trans Amer Math Soc, 334(1992), 877-913.
-
9Chen Xu-yan, Dynamics of interfaces in reaction diffusion systems, Hiroshima Math J, 21(1991), 47-83.
-
10Wang Xuefeng, Metastability and stability of patterns in convolution model for phase transitions, preprint.
-
1刘桂兰.一类带非局部项的Allen-Cahn方程解的存在性[J].四川师范大学学报（自然科学版）,2010,33(2):184-187. 被引量：2
-
2ZHAN QIAN,XU SHU-SHENG.Asymptotic Property of Approximation to x~αsgnx by Newman Type Operators[J].Communications in Mathematical Research,2011,27(3):193-199.
-
3Jian-jun HE,Ting-fan XIE.Asymptotic Property for Some Series of Probability[J].Acta Mathematicae Applicatae Sinica,2013,29(1):179-186.
-
4桂长峰,赵铭锋.Allen-Cahn方程的行波解速度的渐近公式[J].中国科学：数学,2016,46(5):549-562. 被引量：1
-
5吴云顺.Allen-Cahn方程弱形式的勒让德配置法及基于张量积的矩阵形式[J].四川师范大学学报（自然科学版）,2013,36(5):691-695. 被引量：1
-
6刘勇.Toda方程的渐近行为(英文)[J].吉首大学学报（自然科学版）,2012,33(5):16-18.
-
7Meng Xinzhu Zhang Tongqian Liu Hongxia.ASYMPTOTIC PROPERTY FOR A LOTKA-VOLTERRA COMPETITIVE SYSTEM WITH DELAYS AND DISPERSION[J].Annals of Differential Equations,2005,21(3):378-384. 被引量：5
-
8张月清,王义遒.玻色-爱因斯坦凝聚态的临界温度移动[J].原子与分子物理学报,2007,24(2):397-402. 被引量：2
-
9PENG Zhi-qing ZHENG Lu-lu LIU Yah-fang XIAO Ru WANG Xue-jun.Asymptotic Property for the Estimator of Nonparametric Regression Models Under Negatively Orthant Dependent Errors[J].Chinese Quarterly Journal of Mathematics,2015,30(2):300-307. 被引量：1
-
10张佳琪,侯天亮.一维Allen-Cahn方程有限差分方法的离散最大化原则和能量稳定性研究[J].北华大学学报（自然科学版）,2016,17(2):159-164. 被引量：4
