SOME MIXED PROBLEMS FOR SEMILINEAR PARABOLIC TYPE EQUATION

被引:0
|
作者
Duzgun, Fatma Gamze [1 ]
Soltanov, Kamal N. [1 ]
机构
[1] Hacettepe Univ, Dept Math, TR-06800 Ankara, Turkey
来源
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2014年 / 4卷 / 03期
关键词
Semi linear parabolic equation; third type boundary value problem; existence and uniqueness theorems; sublinear case; linear case; super linear case;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, some mixed problem with third type boundary value for a semilinear parabolic equation is investigated. Here the solvability theorems for considered problem and the uniqueness theorem for a model case of the problem are showed.
引用
收藏
页码:271 / 281
页数:11
相关论文
共 50 条
  • [21] Convergence to self-similar solutions for a semilinear parabolic equation
    Fila, Marek
    Winkler, Michael
    Yanagida, Eiji
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2008, 21 (03) : 703 - 716
  • [22] Convergence rate to singular steady states in a semilinear parabolic equation
    Hoshino, Masaki
    Yanagida, Eiji
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2016, 131 : 98 - 111
  • [25] LOCALIZED SOLUTIONS OF A SEMILINEAR PARABOLIC EQUATION WITH A RECURRENT NONSTATIONARY ASYMPTOTICS
    Polacik, Peter
    Yanagida, Eiji
    SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2014, 46 (05) : 3481 - 3496
  • [26] A CELL COMPLEX STRUCTURE FOR THE SPACE OF HETEROCLINES FOR A SEMILINEAR PARABOLIC EQUATION
    Robinson, Michael
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2009,
  • [27] Superconvergence for optimal control problems governed by semilinear parabolic equations
    Hou, Chunjuan
    Lu, Zuliang
    Chen, Xuejiao
    Wu, Xiankui
    Cai, Fei
    AIMS MATHEMATICS, 2022, 7 (05): : 9405 - 9423
  • [28] SOLUTION PROFILES BEYOND QUENCHING FOR SINGULAR SEMILINEAR PARABOLIC PROBLEMS
    Boonklurb, Ratinan
    Kaewrak, Keerati
    Treeyaprasert, Tawikan
    DYNAMIC SYSTEMS AND APPLICATIONS, 2018, 27 (03): : 673 - 689
  • [29] Positive solution to semilinear parabolic equation associated with critical Sobolev exponent
    Ishiwata, Michinori
    Suzuki, Takashi
    NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2013, 20 (04): : 1553 - 1576
  • [30] An inverse problem for a semilinear parabolic equation arising from cardiac electrophysiology
    Beretta, Elena
    Cavaterra, Cecilia
    Cerutti, M. Cristina
    Manzoni, Andrea
    Ratti, Luca
    INVERSE PROBLEMS, 2017, 33 (10)