二阶退化双曲型方程的第二Darboux问题及其推广和应用
이계퇴화쌍곡형방정적제이Darboux문제급기추엄화응용
Generalized darboux’s second problem for degenerate hyperbolic equations
  • 万方数据
    河北省科学院学报 하북성과학원학보
    Journal of the Hebei Academy of Sciences
    2015年 3期 1-6 ,共6页

    赵晓辉%闻国椿%杨广武

    조효휘%문국춘%양엄무

    退化双曲型方程%广义Darboux问题%解的存在唯一性 退化雙麯型方程%廣義Darboux問題%解的存在唯一性
    퇴화쌍곡형방정%엄의Darboux문제%해적존재유일성
    Degenerate hyperbolic equations%Generalized Darboux ’ s second problem%Exist-ence and uniqueness of solutions
    本文主要给出一般区域上的Darboux第二问题与一般斜微商问题解的表示式，进而使用复分析的方法证明了这些问题解的存在性与唯一性。本文中得到的结果，可用来解决一般区域上的广义chaplygin方程的T ricomi问题。
    본문주요급출일반구역상적Darboux제이문제여일반사미상문제해적표시식，진이사용복분석적방법증명료저사문제해적존재성여유일성。본문중득도적결과，가용래해결일반구역상적엄의chaplygin방정적T ricomi문제。
    The present paper deals with some boundary value problems for the degenerate hy‐perbolic equations of second order ,mainly the representation of solutions for Darboux ’s sec‐ond problem and general oblique derivative problem in general domains is given ,and the exist‐ence and uniqueness of solutions for the problems are proved .T he results in this paper can be used to solve T ricomi problem of generalized Chaplygin equations in general domains .
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