数学进展
數學進展
수학진전
ADVANCES IN MATHEMATICS
2007年
4期
467-475
,共9页
退化双曲型方程%Darboux型问题%解的存在唯一性
退化雙麯型方程%Darboux型問題%解的存在唯一性
퇴화쌍곡형방정%Darboux형문제%해적존재유일성
degenerate hyperbolic equations%Darboux type problems%existence and uniqueness of solutions
本文讨论二阶退化双曲型方程的一些边值问题.文中先给出第一Darboux问题和一般斜微商边值问题的提法和解的表示式,然后使用复分析方法证明了上述问题解的存在唯一性.
本文討論二階退化雙麯型方程的一些邊值問題.文中先給齣第一Darboux問題和一般斜微商邊值問題的提法和解的錶示式,然後使用複分析方法證明瞭上述問題解的存在唯一性.
본문토론이계퇴화쌍곡형방정적일사변치문제.문중선급출제일Darboux문제화일반사미상변치문제적제법화해적표시식,연후사용복분석방법증명료상술문제해적존재유일성.
The present paper deals with some boundary value problems for the degenerate hyperbolic equations of second order, mainly the formulation and representation of solutions for Darboux's first problem and general oblique derivative problem are given, and then by the complex analytic method, the existence and uniqueness of solutions for the problems are proved.
