THE PROBLEM OF SMOOTH SOLUTIONS FOR A PARABOLIC TYPE COMPLEX EQUATION OF SECOND ORDER

摘要：

In this paper, the problem of smooth solutions for a general second order parabolic type complex equation uxx-uyy+2iuxy-2iz(ux+iuy)t=f(x, y, t), (x, y. T)∈R3 is discussed, and the result-there are C∞-functions f for which the equation above has no C2-solutions is proved by using a method of function construction, moreover, the dependent relations between the solution u and the diffusion term f is given.

关键词： Parabolic type complex equation holomorphic solution Cauchy-Kowaleski theorem Schwarz reflection principle.

作者: GUANG-SHAN XU ZHONG-TAI MA

作者单位: School of Math., Shandong Institute of Business and Technology, Yantai 264005, China;Institute of Ap School of Math., Shandong Institute of Business and Technology, Yantai 264005, China

会议类型: 国际会议

会议名称: 第三届边值问题积分方程以及相关问题国际会议

会议地点: 保定

会议语种:英文

页码: 388-391

在线出版日期: 2010-08-22（万方平台首次上网日期，不代表论文的发表时间）