四川师范大学学报(自然科学版)
四川師範大學學報(自然科學版)
사천사범대학학보(자연과학판)
JOURNAL OF SICHUAN NORMAL UNIVERSITY(NATURAL SCIENCE)
2007年
2期
167-172
,共6页
间断Riemann-Hilbert边值问题%拟线性椭圆型复方程%退化秩为0
間斷Riemann-Hilbert邊值問題%擬線性橢圓型複方程%退化秩為0
간단Riemann-Hilbert변치문제%의선성타원형복방정%퇴화질위0
Discontinuous Riemann-Hilbert problem%Quasilinear elliptic complex equations%Degenerate rank 0
讨论退化秩为0的一阶拟线性椭圆型复方程的间断Riemann-Hilbert问题.先给出这个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一阶椭圆型复方程Riemann-Hilbert解的存在性和唯一性.
討論退化秩為0的一階擬線性橢圓型複方程的間斷Riemann-Hilbert問題.先給齣這箇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一階橢圓型複方程Riemann-Hilbert解的存在性和唯一性.
토론퇴화질위0적일계의선성타원형복방정적간단Riemann-Hilbert문제.선급출저개문제적제법화해적표시식,연후사용복분석방법증명료상술일계타원형복방정Riemann-Hilbert해적존재성화유일성.
In this paper the discontinuous Riemann-Hilbert problem for quasilinear elliptic complex equations of first order with degenerate rank 0 is discussed. Firstly the representation of solutions of the boundary value problem for the equations is given, and then the existence and uniqueness of solutions for the problem are proved by using the complex analytic method.