Infinite time gradient blow-up for parabolic prescribed mean curvature equations

被引：1

作者：

Pan, Hongjing ^{[1
]}

Xing, Ruixiang ^{[2
]}

Zeng, Pingan ^{[2
]}

机构：

[1] S China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China

[2] Sun Yat Sen Univ, Sch Math & Computat Sci, Guangzhou 510275, Guangdong, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2015年 / 422卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Gradient blow-up; Prescribed mean curvature equation; Quasilinear parabolic problem; Capillary surface; Logistic nonlinearity;

D O I：

10.1016/j.jmaa.2014.08.050

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove some results on the existence of infinite time gradient blow-up phenomena for parabolic prescribed mean curvature equations over bounded, mean-convex domains in R-n. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：446 / 455

页数：10

共 50 条

[31] Bounds for Blow-up Time in Nonlinear Pseudo-parabolic Equations
M. Meyvacı
Mediterranean Journal of Mathematics, 2018, 15
[32] Bounds for Blow-up Time in Nonlinear Pseudo-parabolic Equations
Meyvaci, M.
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2018, 15 (01)
[33] Lower bound for the blow-up time for some nonlinear parabolic equations
Chen, Wenhui
Liu, Yan
BOUNDARY VALUE PROBLEMS, 2016,
[34] Blow-up time of solutions to a class of pseudo-parabolic equations
Zhou, Jun
Wang, Xiongrui
COMPTES RENDUS MECANIQUE, 2023, 351 : 219 - 226
[35] Blow-up of solutions to semilinear parabolic equations on Riemannian manifolds with negative sectional curvature
Punzo, Fabio
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 387 (02) : 815 - 827
[36] Lower bounds for blow-up time in a nonlinear parabolic problem with a gradient nonlinearity
Mashiyev, Rabil Ayazoglu
Ekincioglu, Ismail
JOURNAL OF ELLIPTIC AND PARABOLIC EQUATIONS, 2022, 8 (01) : 197 - 207
[37] Lower bounds for blow-up time in a nonlinear parabolic problem with a gradient nonlinearity
Rabil Ayazoglu Mashiyev
Ismail Ekincioglu
Journal of Elliptic and Parabolic Equations, 2022, 8 : 197 - 207
[38] Blow-up analysis for parabolic p-Laplacian equations with a gradient source term
Juntang Ding
Journal of Inequalities and Applications, 2020
[39] Boundedness of global solutions for nonlinear parabolic equations involving gradient blow-up phenomena
Arrieta, JM
Rodriguez-Bernal, A
Souplet, P
ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE, 2004, 3 (01) : 1 - 15
[40] Blow-up analysis for parabolic p-Laplacian equations with a gradient source term
Ding, Juntang
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2020, 2020 (01)

← 1 2 3 4 5 →