A class of degenerate diffusion equations with mixed boundary conditions

被引：13
作者：
Wang, J [1 ]
Wang, ZJ [1 ]
Yin, JX [1 ]
机构：
[1] Jilin Univ, Dept Math, Jilin, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2004年 / 298卷 / 02期
关键词：
degenerate; diffusion; blow-up;
D O I：
10.1016/j.jmaa.2004.05.028
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with a class of degenerate diffusion equations subject to mixed boundary conditions. Under some structure conditions, we discuss the blow-up property of local solutions and estimate the bounds of "blow-up time." (C) 2004 Elsevier Inc. All rights reserved.
引用
收藏
页码：589 / 603
页数：15
相关论文
共 50 条
  • [31] ON A CLASS OF DIFFUSION-AGGREGATION EQUATIONS
    Zhang, Yuming Paul
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2020, 40 (02) : 907 - 932
  • [32] ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO COUPLED SEMILINEAR PARABOLIC EQUATIONS WITH GENERAL DEGENERATE DIFFUSION COEFFICIENTS
    Jing, Xinxin
    Nie, Yuanyuan
    Wang, Chunpeng
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2023, 28 (02): : 959 - 983
  • [33] FUJITA-TYPE THEOREMS FOR A CLASS OF NONLINEAR DIFFUSION EQUATIONS
    Wang, Chunpeng
    Zheng, Sining
    DIFFERENTIAL AND INTEGRAL EQUATIONS, 2013, 26 (5-6) : 555 - 570
  • [34] ON A CLASS OF DEGENERATE AND SINGULAR MONGE-AMP`ERE EQUATIONS
    JIAN, H. U. A. I. Y. U.
    LI, Y. O. U.
    TU, X. U. S. H. A. N.
    METHODS AND APPLICATIONS OF ANALYSIS, 2021, 28 (03) : 371 - 386
  • [35] Wavefront solutions for a class of nonlinear highly degenerate parabolic equations
    Cantarini, Marco
    Marcelli, Cristina
    Papalini, Francesca
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, 332 : 278 - 305
  • [36] On the viscosity solutions to a class of nonlinear degenerate parabolic differential equations
    Tilak Bhattacharya
    Leonardo Marazzi
    Revista Matemática Complutense, 2017, 30 : 621 - 656
  • [37] On the viscosity solutions to a class of nonlinear degenerate parabolic differential equations
    Bhattacharya, Tilak
    Marazzi, Leonardo
    REVISTA MATEMATICA COMPLUTENSE, 2017, 30 (03): : 621 - 656
  • [38] Blowup properties for nonlinear degenerate diffusion equations with nonlocal sources
    Li, Mei
    Chen, Meixia
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (02) : 1122 - 1130
  • [39] Critical parameter equations for degenerate parabolic equations coupled via nonlinear boundary flux
    Xu, Si
    Song, Zifen
    BOUNDARY VALUE PROBLEMS, 2011,
  • [40] Critical parameter equations for degenerate parabolic equations coupled via nonlinear boundary flux
    Si Xu
    Zifen Song
    Boundary Value Problems, 2011
12345