Blow-up of solutions to quasilinear parabolic equations

被引:19
|
作者
Erdem, D [1 ]
机构
[1] Hacettepe Univ, Dept Math, Ankara, Turkey
关键词
quasilinear parabolic equations; blow-up;
D O I
10.1016/S0893-9659(98)00174-8
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Sufficient conditions for global nonexistence (blow up) of solutions of the initial-boundary value problem for a class of second-order quasilinear parabolic equations: [GRAPHICS] are established. (C) 1999 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:65 / 69
页数:5
相关论文
共 50 条
  • [31] Localized Blow-Up Regimes for Quasilinear Doubly Degenerate Parabolic Equations
    Shishkov, A. E.
    Yevgenieva, Ye. A.
    MATHEMATICAL NOTES, 2019, 106 (3-4) : 639 - 650
  • [32] Boundary blow-up solutions for a class of quasilinear elliptic equations
    Miao, Qing
    Yang, Zuodong
    APPLICABLE ANALYSIS, 2010, 89 (12) : 1893 - 1905
  • [33] Boundary blow-up solutions and their applications in quasilinear elliptic equations
    Yihong Du
    Zongming Guo
    Journal d’Analyse Mathématique, 2003, 89 : 277 - 302
  • [34] BLOW-UP OF SOLUTIONS AND EXISTENCE OF LOCAL SOLUTIONS FOR VISCOELASTIC PARABOLIC EQUATIONS
    Li, Lanlan
    Ye, Yaojun
    PROCEEDINGS OF THE ROMANIAN ACADEMY SERIES A-MATHEMATICS PHYSICS TECHNICAL SCIENCES INFORMATION SCIENCE, 2022, 23 (03): : 235 - 244
  • [35] Structure of boundary blow-up for higher-order quasilinear parabolic equations
    Galaktionov, VA
    Shishkov, AE
    PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2004, 460 (2051): : 3299 - 3325
  • [36] Blow-up boundary regimes for general quasilinear parabolic equations in multidimensional domains
    Shishkov, AE
    Shchelkov, AG
    SBORNIK MATHEMATICS, 1999, 190 (3-4) : 447 - 479
  • [37] Global existence and blow-up solutions and blow-up estimates for a non-local quasilinear degenerate parabolic system
    Zhang, Rui
    Yang, Zuodong
    APPLIED MATHEMATICS AND COMPUTATION, 2008, 200 (01) : 267 - 282
  • [38] On the blow-up of solutions for some fourth order parabolic equations
    Cheng, Ting
    Zheng, Gao-Feng
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 66 (11) : 2500 - 2511
  • [39] Complete blow-up of solutions for degenerate semilinear parabolic equations
    Chan, CY
    Chan, WY
    DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2003, 10 (1-3): : 411 - 415
  • [40] On the blow-up of solutions to anisotropic parabolic equations with variable nonlinearity
    S. Antontsev
    S. Shmarev
    Proceedings of the Steklov Institute of Mathematics, 2010, 270 : 27 - 42