-方程的解算子在Cauchy-Riemann复切方向的局部正则性  

Local Regularity of Solution Operator for - Equation on the Cauchy Riemann Complex Tangential Directions

作　　者：马忠泰[1] 

机构地区：[1]山东师范大学数学系

出　　处：《工程数学学报》1998年第4期52-58,共7页Chinese Journal of Engineering Mathematics

基　　金：山东省自然科学基金

摘　　要：在Ｌｅｒａｙ映射Ｗ（ｚ，ζ）非全纯的严格拟凸开集上，得到了－－方程解的局部Ｃｋ－边界正则性。推广了ＣｈｅｎＺ在１９９２年所得的结果，给出了－－闭的（ｐ，ｑ）－形式局部地保持实解析性到边界点。Abstract In this paper, the locally C k boundaries regularity of - equations solution in strictly pseudoconvex open set with nonholomorphic map W(z,ζ) is obtained and, as a generalization of Z. Chen , the real analyticity of - closed (p,q) forms locally be preseved at boundary points.

关 键 词：偏导方程 局部正则性 全凸性 Cauchy-Riemann复切方向 解算子 多复变数函数 

分 类 号：O174.56[理学—数学]