Well-posedness results and blow-up for a class of semilinear heat equations

被引：0
|
作者：
Yen, Dang Van [1 ]
Binh, Ho Duy [2 ]
Long, Le Dinh [2 ]
Van, Ho Thi Kim [2 ]
机构：
[1] Ho Chi Minh City Univ Technol, Fac Informat Technol, Ho Chi Minh City, Vietnam
[2] Thu Dau Mot Univ, Div Appl Math, Thu Dau Mot, Binh Duong Prov, Vietnam
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2021年 / 2021卷 / 01期
关键词：
Nonlinear heat equation; Existence; Blow-up;
D O I：
10.1186/s13662-021-03404-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper considers the initial value problem for nonlinear heat equation in the whole space RN. The local existence theory related to the finite time blow-up is also obtained for the problem with nonlinearity source (like polynomial types).
引用
收藏
页数：11
相关论文
共 50 条
  • [1] Well-posedness results and blow-up for a class of semilinear heat equations
    Dang Van Yen
    Ho Duy Binh
    Le Dinh Long
    Ho Thi Kim Van
    [J]. Advances in Difference Equations, 2021
  • [2] On the Well-Posedness and Blow-Up for a Semilinear Biparabolic Equation
    Vo Van Au
    Yong Zhou
    Donal O’Regan
    [J]. Mediterranean Journal of Mathematics, 2022, 19
  • [3] On the Well-Posedness and Blow-Up for a Semilinear Biparabolic Equation
    Vo Van Au
    Zhou, Yong
    O'Regan, Donal
    [J]. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2022, 19 (01)
  • [4] A NOTE ON GLOBAL WELL-POSEDNESS AND BLOW-UP OF SOME SEMILINEAR EVOLUTION EQUATIONS
    Saanouni, Tarek
    [J]. EVOLUTION EQUATIONS AND CONTROL THEORY, 2015, 4 (03): : 355 - 372
  • [5] WELL-POSEDNESS AND BLOW-UP FOR AN IN-HOMOGENEOUS SEMILINEAR PARABOLIC EQUATION
    Majdoub, Mohamed
    [J]. DIFFERENTIAL EQUATIONS & APPLICATIONS, 2021, 13 (01): : 85 - 100
  • [6] ON THE BLOW-UP RESULTS FOR A CLASS OF STRONGLY PERTURBED SEMILINEAR HEAT EQUATIONS
    Nguyen, Van Tien
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2015, 35 (08): : 3585 - 3626
  • [7] Well-posedness and blow-up criterion for strong solutions of a class of compressible MHD equations
    Meng, Qiu
    Xing, Huifang
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2024, 539 (02)
  • [8] Global well-posedness, asymptotic behavior and blow-up of solutions for a class of degenerate parabolic equations
    Liu, Yang
    Yu, Tao
    Li, Wenke
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2020, 196
  • [9] Local well-posedness and blow-up for an inhomogeneous nonlinear heat equation
    Alessa, Rasha
    Alshehri, Aisha
    Altamimi, Haya
    Majdoub, Mohamed
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2020, 43 (08) : 5264 - 5272
  • [10] Well-posedness and blow-up results for a class of nonlinear fractional Rayleigh-Stokes problem
    Wang, Jing Na
    Alsaedi, Ahmed
    Ahmad, Bashir
    Zhou, Yong
    [J]. ADVANCES IN NONLINEAR ANALYSIS, 2022, 11 (01) : 1579 - 1597
12345