JOURNAL ARTICLE
积分算子与(非线性复合)边值问题
Year: 1982 Journal: Science in China Series A-Mathematics Physics Astronomy & Technological Science (in Chinese) Vol: 12 (1)Pages: 21-30 Publisher: Science China Press
Abstract
本文在m+1连通区域上研究方程(A)wg=g(z,w,wz),(A.1)|g(z,w,wz1)-(z,w,wz2)|≤q0|wz1-wz2|,q0=常数<1 (A.2)的Riemann和Hilbert复合边值问题(RH问题). 我们构造了算子θ(w,z),研究了其连续与微分性质,建立了解的表示定理、先验估计、存在唯一性定理(K≥m)与可解条件(K≤m-1).
Keywords:
Environmental science
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