R^n上完全非线性退化抛物系统无界黏性解的存在性
R^n상완전비선성퇴화포물계통무계점성해적존재성
Existence of Unbounded Viscosity Solutions of Fully Nonlinear Degenerate Parabolic Systems in R~n
  • 万方数据
    科教导刊 과교도간
    THE GUIDE OF SCIENCE & EDUCATION
    2012年 5期 38-39 ,共2页

    王俊芳%王照良

    왕준방%왕조량

    耦合黏性上下解%完全非线性退化抛物方程%Perron＇s方法 耦閤黏性上下解%完全非線性退化拋物方程%Perron＇s方法
    우합점성상하해%완전비선성퇴화포물방정%Perron＇s방법
    Coupled viscosity sub and supper-solutions%Fully nonlinear degenerate parabolic equations%Perron's method
    本文主要证明了R~n上完全非线性退化抛物系统的耦合黏性上下解的比较原理的成立,也证明了黏性解的存在唯一性。
    본문주요증명료R~n상완전비선성퇴화포물계통적우합점성상하해적비교원리적성립,야증명료점성해적존재유일성。
    In this article,we prove the comparison principle for coupled viscosity sub and super-solution of degenerate parabolic systems of general form in R~n by the technique of coupled viscosity sub-and supper-solutions.We also prove the existence,uniqueness of viscosity by Perron＇s method.
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