A free Boundary Problem for a Reaction-Diffusion Equation Appearing in Biology

被引：4
|
作者：
Takhirov, J. O. [1 ]
机构：
[1] Uzbek Acad Sci, Inst Math, Tashkent, Uzbekistan
来源：
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2019年 / 50卷 / 01期
关键词：
Free boundary problem; quasilinear equations; a priori estimates; EPIDEMIC MODEL;
D O I：
10.1007/s13226-019-0309-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This works studies a quasilinear, reaction-diffusion type parabolic free boundary problem modelling population dynamics. Holder norm a priori estimates are established for the free boundary and the solution. Uniqueness of the solution is shown and qualitative properties of the solution are investigated.
引用
收藏
页码：95 / 112
页数：18
相关论文
共 50 条
  • [1] A free Boundary Problem for a Reaction-Diffusion Equation Appearing in Biology
    J. O. Takhirov
    Indian Journal of Pure and Applied Mathematics, 2019, 50 : 95 - 112
  • [2] A FREE-BOUNDARY PROBLEM FOR A CONVECTIVE REACTION-DIFFUSION EQUATION
    WANG, JY
    ZHENG, DW
    WANG, XK
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1994, 23 (11) : 1391 - 1399
  • [3] FREE BOUNDARY PROBLEM FOR A REACTION-DIFFUSION EQUATION WITH POSITIVE BISTABLE NONLINEARITY
    Endo, Maho
    Kanek, Yuki
    Yamada, Yoshio
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2020, 40 (06) : 3375 - 3394
  • [4] Free boundary problem of a reaction-diffusion equation with nonlinear convection term
    Wang, Ren-Hu
    Wang, Lei
    Wang, Zhi-Cheng
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 467 (02) : 1233 - 1257
  • [5] A FREE-BOUNDARY PROBLEM ARISING FROM A BISTABLE REACTION-DIFFUSION EQUATION
    TERMAN, D
    SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1983, 14 (06) : 1107 - 1129
  • [6] On a reaction-diffusion equation with Robin and free boundary conditions
    Liu, Xiaowei
    Lou, Bendong
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2015, 259 (02) : 423 - 453
  • [7] ON A FREE BOUNDARY PROBLEM FOR A NONLOCAL REACTION-DIFFUSION MODEL
    Cao, Jia-Feng
    Li, Wan-Tong
    Zhao, Meng
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2018, 23 (10): : 4117 - 4139
  • [8] Problem with Free Boundary for Systems of Equations of Reaction-Diffusion Type
    Zh. O. Takhirov
    M. S. Rasulov
    Ukrainian Mathematical Journal, 2018, 69 : 1968 - 1980
  • [9] Problem with Free Boundary for Systems of Equations of Reaction-Diffusion Type
    Takhirov, Zh. O.
    Rasulov, M. S.
    UKRAINIAN MATHEMATICAL JOURNAL, 2018, 69 (12) : 1968 - 1980
  • [10] A free boundary problem for a reaction-diffusion system with nonlinear memory
    Lin, Zhigui
    Ling, Zhi
    Pedersen, Michael
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2014, 65 (03): : 521 - 530
12345