성심산학협력단

 

연구정보

연구자현황

김성훈(Sunghoon Kim) 프로필 이미지

김성훈 교수

Sunghoon Kim

연구분야

해석학

연구키워드

편미분 방정식

최종학력

2010.02.26 | 서울대학교 | 수리과학부 | 이학박사

연구실적

  • 2024.01 | 제1저자 | ADVANCES IN CALCULUS OF VARIATIONS, 제17권 1호, pp.209-235
    Properties of the free boundaries for the obstacle problem of the porous medium equations
  • 2022.03 | 교신저자 | ADVANCES IN NONLINEAR ANALYSIS, 제11권 1호, pp.1048-1084
    Properties of generalized degenerate parabolic systems
  • 2021.01 | 교신저자 | JOURNAL OF DIFFERENTIAL EQUATIONS, 제272권, pp.433-472
    System of porous medium equations
  • 2020.06 | 교신저자 | JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 제32권 2호, pp.809-822
    Singular Limit of the Generalized Burgers Equation with Absorption
  • 2020.03 | 교신저자 | NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 제192권
    Local continuity and asymptotic behaviour of degenerate parabolic systems
  • 2019.04 | 교신저자 | PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 제149권 2호, pp.353-385
    Singular limits and properties of solutions of some degenerate elliptic and parabolic equations
  • 2018.10 | 교신저자 | CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 제57권 5호
    Existence and large time behaviour of finite points blow-up solutions of the fast diffusion equation
  • 2016.06 | 교신저자 | NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 제138권, pp.229-252
    Holder regularity and uniqueness theorem on weak solutions to the degenerate Keller-Segel system
  • 2015.10 | 교신저자 | DISCRETE AND CONTINOUS DYNAMICAL SYSTEMS, 제35권 10호, pp.4859-4887
    EXISTENCE OF NEUMANN AND SINGULAR SOLUTIONS OF THE FAST DIFFUSION EQUATION
  • 2014.08 | 단독 | JOURNAL OF FUNCTIONAL ANALYSIS, 제267권 4호, pp.1256-1284
    Long time existence of smooth solution for the porous medium equation in a bounded domain
  • 2014.06 | 교신저자 | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 제414권 2호, pp.978-995
    Geometric properties of the Gelfand problem through a parabolic approach
  • 2014.05 | 교신저자 | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 제413권 1호, pp.269-283
    Decay rate and radial symmetry of the exponential elliptic equation
  • 2014.03 | 공동저자 | MANUSCRIPTA MATHEMATICA, 제143권, pp.491-524
    Extinction profile of the logarithmic diffusion equation
  • 2013.08 | 교신저자 | PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 제143권, pp.817-830
    Large-time behaviour of the higher-dimensional logarithmic diffusion equation
  • 2011.12 | 교신저자 | JOURNAL OF FUNCTIONAL ANALYSIS, 제261권 12호, pp.3482-3518
    Holder estimates for singular non-local parabolic equations
  • 2011.12 | 교신저자 | NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 제74권 18호, pp.7404-7425
    Convergence of the Dirichlet solutions of the very fast diffusion equation
  • 2011.10 | 교신저자 | JOURNAL OF DIFFERENTIAL EQUATIONS, 제251권 8호, pp.2296-2326
    Viscosity method for homogenization of parabolic nonlinear equations in perforated domains
  • 2009.08 | 교신저자 | JOURNAL OF DIFFERENTIAL EQUATIONS, 제247권 4호, pp.1064-1095
    Smooth solution for the porous medium equation in a bounded domain