1 |
PAYNE L E,PHILIPPIN G A,SCHAEFER P W.Blow-up phenomena for some nonlinear parabolic problems[J].Nonlinear Analysis:Theory,Methods & Applications,2008,69(10):3495-3502. DOI:10. 1016/j.na.2007.09.035
doi: 10. 1016/j.na.2007.09.035
|
2 |
李远飞.Robin边界条件下更一般化的非线性抛物问题全局解的存在性和爆破[J].应用数学学报,2018,41(2):257-267. LI Y F. Blow-up and global existence of the solution to some more general nonlinear parabolic problems with Robin boundary conditions[J].Acta Mathematicae Applicatae Sinica,2018,41(2):257-267.
|
3 |
PAYNE L E,SCHAEFER P W.Lower bounds for blow-up time in parabolic problems under Dirichlet conditions[J].Journal of Mathematical Analysis and Applications,2007,328(2):1196-1205. DOI:10. 1016/j.jmaa.2006.06.015
doi: 10. 1016/j.jmaa.2006.06.015
|
4 |
PAYNE L E,SCHAEFER P W.Lower bounds for blow-up time in parabolic problems under Neumann conditions[J].Applicable Analysis,2006,85(10):1301-1311. DOI:10.1080/00036810600915730
doi: 10.1080/00036810600915730
|
5 |
LIU Y.Blow-up phenomena for the nonlinear nonlocal porous medium equation under Robin boundary condition[J].Computers & Mathematics with Applications,2013,66(10):2092-2095. DOI:10. 1016/j.camwa.2013.08.024
doi: 10. 1016/j.camwa.2013.08.024
|
6 |
DING J T.Blow-up solutions and global existence for quasilinear parabolic problems with Robin boundary conditions[J].Abstract and Applied Analysis,2014,2014:1-9. DOI:10.1155/2014/324857
doi: 10.1155/2014/324857
|
7 |
LIU Y,LUO S G,YE Y H.Blow-up phenomena for a parabolic problem with a gradient nonlinearity under nonlinear boundary conditions[J].Computers & Mathematics with Applications,2013,65(8):1194-1199. DOI:10.1016/j.camwa.2013.02.014
doi: 10.1016/j.camwa.2013.02.014
|
8 |
LIU Z Q,FANG Z B. Blow-up phenomena for a nonlocal quasilinear parabolic equation with time-dependent coefficients under nonlinear boundary flux[J].Discrete and Continuous Dynamical Systems(Series B),2016,21(10):3619-3635. DOI:10.3934/dcdsb. 2016113
doi: 10.3934/dcdsb. 2016113
|
9 |
SHEN X H,DING J T.Blow-up phenomena in porous medium equation systems with nonlinear boundary conditions[J].Computers & Mathematics with Applications,2019,77(12):3250-3263. DOI:10.1016/j.camwa.2019.02.007
doi: 10.1016/j.camwa.2019.02.007
|
10 |
LIU Y.Lower bounds for the blow-up time in a non-local reaction diffusion problem under nonlinear boundary conditions[J].Mathematical and Computer Modelling,2013,57(3/4):926-931. doi:10.1016/j.mcm.2012.10.002
doi: 10.1016/j.mcm.2012.10.002
|
11 |
CHEN W H,LIU Y.Lower bound for the blow up time for some nonlinear parabolic equations[J].Boundary Value Problems,2016,2016:1-6. DOI:10. 1016/j.mcm.2012.10.002
doi: 10. 1016/j.mcm.2012.10.002
|
12 |
TANG G S.Blow-up phenomena for a parabolic system with gradient nonlinearity under nonlinear boundary conditions[J].Computers & Mathematics with Applications,2017,74(3):360-368. DOI:10. 1016/j.camwa.2017.04.019
doi: 10. 1016/j.camwa.2017.04.019
|
13 |
XIAO S P,FANG Z B. Blow-up phenomena for a porous medium equation with time-dependent coefficients and inner absorption term under nonlinear boundary flux[J]. Taiwanese Journal of Mathematics,2018,22(2):349-369. DOI:10.11650/tjm/170802
doi: 10.11650/tjm/170802
|
14 |
郑亚东,方钟波.一类具有时变系数梯度源项的弱耦合反应-扩散方程组解的爆破分析[J].数学物理学报,2020,40A(3):735-755. DOI:10.3969/j.issn. 1003-3998.2020.03.020 ZHENG Y D,FANG Z B. Blow-up analysis for a weakly coupled reaction-diffusion system with gradient sources terms and time-dependent coefficients[J]. Acta Mathematica Scientia,2020,40A(3):735-755. DOI:10.3969/j.issn.1003-3998.2020.03.020
doi: 10.3969/j.issn.1003-3998.2020.03.020
|
15 |
李远飞.非线性边界条件下高维抛物方程解的全局存在性及爆破现象[J].应用数学学报,2019,42(6):721-735. LI Y F. Blow-up phenomena and global existences for higher-dimensional parabolic equations under nonlinear boundary conditions[J]. Acta Mathematicae Applicatae Sinica,2019,42(6):721-735.
|
16 |
PAYNE L E,PHILIPPIN G A,VERNIER PIRO S.Blow-up phenomena for a semilinear heat equation with nonlinear boundary condition,Ⅱ[J].Nonlinear Analysis:Theory,Methods & Applications,2010,73(4):971-978. DOI:10.1016/j.na.2010.04.023
doi: 10.1016/j.na.2010.04.023
|
17 |
PAYNE L E,PHILIPPIN G A,VERNIER PIRO S.Blow-up phenomena for a semilinear heat equation with nonlinear boundary condition,Ⅰ[J].Zeitschrift Für Angewandte Mathematik und Physik,2010,61(6):999-1007. DOI:10.1007/s00033-010-0071-6
doi: 10.1007/s00033-010-0071-6
|
18 |
PAYNE L E,PHILIPPIN G A.Blow-up phenomena for a class of parabolic systems with time dependent coefficients[J].Applied Mathematics,2012(3):325-330. DOI:10.4236/am.2012.34049
doi: 10.4236/am.2012.34049
|
19 |
TAO X Y,FANG Z B.Blow-up phenomena for a nonlinear reaction-diffusion system with time dependent coefficients[J].Computers & Mathematics with Applications,2017,74(10):2520-2528. DOI:10.1016/j.camwa.2017.07.037
doi: 10.1016/j.camwa.2017.07.037
|
20 |
LI Y F, GUO L H, ZENG P. The applications of sobolev inequalities in proving the existence of solution of the quasilinear parabolic equation[J].Boundary Value Problems,2020,2020(1):156-164. DOI:10.1186/s1366-020-01452-y
doi: 10.1186/s1366-020-01452-y
|
21 |
DING J T,SHEN X H.Blow-up analysis in quasilinear reaction-diffusion problems with weighted nonlocal source[J].Computers & Mathematics with Applications,2018,75(4):1288-1301. DOI:10.1016/j.camwa.2017.11.009
doi: 10.1016/j.camwa.2017.11.009
|
22 |
张环,方钟波.一类具有空变系数的非线性反应-扩散方程组解的爆破时间下界[J].中国海洋大学(自然科学版),2019,49(S1):181-186. DOI:10.16441/j.cnki.hdxb.20170417 ZHANG H,FANG Z B. Lower bounds for a nonlinear reaction-diffusion system with space-dependent coefficients[J].Periodical of Ocean University of China,2019,49(S1):181-186. DOI:10.16441/j.cnki.hdxb.20170417
doi: 10.16441/j.cnki.hdxb.20170417
|
23 |
LIU D M,MU C L,XIN Q. Lower bounds estimate for the blow-up time of a nonlinear nonlocal porous medium equation[J]. Acta Mathematica Scientia,2012,32(3):1206-1212. DOI:10.1016/S0252-9602(12)60092-7
doi: 10.1016/S0252-9602(12)60092-7
|
24 |
FANG Z B,YANG R,CHAI Y.Lower bounds estimate for the blow-up time of a slow diffusion equation with nonlocal source and inner absorption[J].Mathematical Problems Engineering,2014,2014(2):1-6. DOI:10.1155/2014/764248
doi: 10.1155/2014/764248
|
25 |
WANG N,SONG X F,LYU X S.Estimates for the blowup time of a combustion model with nonlocal heat sources[J].Journal of Mathematical Analysis and Applications,2016,436(2):1180-1195. DOI:10. 1016/j.jmaa.2015.12.025
doi: 10. 1016/j.jmaa.2015.12.025
|
26 |
CHEN W H,PALMIERI A.Nonexistence of global solutions for the semilinear Moore-Gibson-Thompson equation in the conservative case[J].Discrete & Continuous Dynamical Systems,2020,40(9):5513-5540. DOI:10.3934/dcds.2020236
doi: 10.3934/dcds.2020236
|
27 |
CHEN W H,PALMIERI A.Weakly coupled system of semilinear wave equations with distinct scale-invariant terms in the linear part[J].Zeitschrift Für Angewandte Mathematik und Physik,2019,70:67. DOI:10.1007/s00033-019-1112-4
doi: 10.1007/s00033-019-1112-4
|
28 |
CHEN W H,PALMIERI A. A blow-up result for the semilinear Moore-Gibson-Thompson equation with nonlinearity of derivative type in the conservative case[J].Evolution Equations & Control Theory,2021,10(4):673-687. DOI:10.3934/eect.2020085
doi: 10.3934/eect.2020085
|