REGULARITY OF THE INTERFACE FOR THE POROUS MEDIUM EQUATION

被引：0
|
作者：
Ko, Youngsang [1 ]
机构：
[1] Kyonggi Univ, Dept Math, Suwon 442760, Kyonggi Do, South Korea
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2000年
关键词：
porous medium; radial symmetry; interface; C-infinity regularity;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We establish the interface equation and prove the C 1 regularity of the interface for the porous medium equation whose solution is radial symmetry.
引用
收藏
页数：12
相关论文
共 50 条
  • [1] Boundary Regularity for the Porous Medium Equation
    Bjorn, Anders
    Bjorn, Jana
    Gianazzac, Ugo
    Siljander, Juhana
    [J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2018, 230 (02) : 493 - 538
  • [2] Optimal regularity for the porous medium equation
    Gess, Benjamin
    [J]. JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2021, 23 (02) : 425 - 465
  • [3] Boundary Regularity for the Porous Medium Equation
    Anders Björn
    Jana Björn
    Ugo Gianazza
    Juhana Siljander
    [J]. Archive for Rational Mechanics and Analysis, 2018, 230 : 493 - 538
  • [4] Improved regularity for the inhomogeneous Porous Medium Equation
    Diehl, Nicolau M. L.
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 494 (01)
  • [5] Sharp regularity for the inhomogeneous porous medium equation
    Araujo, Damiao J.
    Maia, Anderson F.
    Urbano, Jose Miguel
    [J]. JOURNAL D ANALYSE MATHEMATIQUE, 2020, 140 (02): : 395 - 407
  • [6] Regularity of the free boundary for the porous medium equation
    Daskalopoulos, P
    Hamilton, R
    [J]. JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY, 1998, 11 (04) : 899 - 965
  • [7] Sharp regularity for the inhomogeneous porous medium equation
    Damião J. Araújo
    Anderson F. Maia
    José Miguel Urbano
    [J]. Journal d'Analyse Mathématique, 2020, 140 : 395 - 407
  • [8] Concerning the regularity of the anisotropic porous medium equation
    Henriques, Eurica
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 377 (02) : 710 - 731
  • [9] Regularity of solutions of a fractional porous medium equation
    Imbert, Cyril
    Tarhini, Rana
    Vigneron, Francois
    [J]. INTERFACES AND FREE BOUNDARIES, 2020, 22 (04) : 401 - 442
  • [10] Regularity of weak solutions and supersolutions to the porous medium equation
    Boegelein, Verena
    Lehtelae, Pekka
    Sturm, Stefan
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2019, 185 : 49 - 67
12345