1 |
LIU Y. Lower bounds for the blow-up time in a non-local reaction diffusion problem under nonlinear boundary conditions. Math Comput Modelling, 2013, 57 (3/4): 926- 931.
|
2 |
SONG J C. Lower bounds for blow-up time in a non-local reaction-diffusion problem. Applied Mathematics Letters, 2011, 24 (5): 793- 796.
|
3 |
PAYNE L E, PHILIPPIN G A, VERNIER PIRO S. Blow-up phenomena for a semilinear heat equation with nonlinear boundary condition, II. Nonlinear Analysis, 2010, 73 (4): 971- 978.
|
4 |
李远飞. Keller-Segel抛物系统解的爆破现象. 应用数学学报, 2017, 40 (5): 692- 701.
|
5 |
PAYNE L E, SONG J C. Lower bounds for blow-up in a model of chemotaxis. Journal of Mathematical Analysis and Applications, 2012, 385 (2): 672- 676.
|
6 |
LI J R, ZHENG S N. A lower bound for blow-up time in a fully parabolic Keller-Segel system. Applied Mathematics Letters, 2013, 26 (4): 510- 514.
|
7 |
李远飞, 肖胜中, 陈雪姣. 非线性边界条件下具有变系数的热量方程解的存在性及爆破现象. 应用数学和力学, 2021, 42 (1): 92- 101.
|
8 |
李双双. 非齐次非线性薛定谔方程新的爆破准则. 华东师范大学学报(自然科学版), 2020, (4): 64- 71.
|
9 |
何兴玥. 一类三阶两点边值问题解的存在性. 华东师范大学学报(自然科学版), 2019, (6): 35- 41.
|
10 |
WANG M X. Blow-up rates for semilinear parabolic systems with nonlinear boundary conditions. Applied Mathematics Letters, 2003, 16 (4): 543- 549.
|
11 |
CHEN W Y. The blow-up estimate for heat equations with nonlinear boundary conditions. Applied Mathematics and Computation, 2004, 156 (2): 355- 366.
|
12 |
CHIPOT M, WEISSLER F B. Some blowup results for a nonlinear parabolic problem with a gradient term. SIAM Journal on Mathematical Analysis, 1989, 20, 886- 907.
|
13 |
PAYNE L E, SONG J C. Lower bounds for blow-up time in a nonlinear parabolic problem. Journal of Mathematical Analysis and Applications, 2009, 354, 394- 396.
|
14 |
LIU Y, LUO S G, YE Y H. Blow-up phenomena for a parabolic problem with a gradient nonlinearity under nonlinear boundary conditions. Computers and Mathematics with Applications, 2013, 65, 1194- 1199.
|
15 |
ESCOBEDO E, HERRERO M A. Boundedness and blow up for a semilinear reaction-diffusion system. Journal of Differential Equations, 1991, 89 (1): 176- 202.
|
16 |
GLANSDOR P, PRIGOGINE I. Thermodynamic Theory of Structure, Stability and Fluctuations [M]. New York: Wiley-Interscience, 1971.
|
17 |
WU Z Q, YUAN H J. Uniqueness of generalized solutions for a degenerate parabolic system. Journal of Partial Differntial Equations, 1995, 8 (3): 89- 96.
|
18 |
BREZIS H, WEIL S. Analyse Fonctionnelle: Théorie et Applications [M]. Paris: Masson, 1983.
|