The well-posedness of a special partial differential equation

作     者：Hong, Jialin Yin, Xiuling 

作者机构：Institute of Computational Mathematics and Scientific/Engineering Computing AMSS CAS Department of mathematics Dezhou University Shandong 

出 版 物：《AIP Conference Proceedings》 (美国物理学会会议录)

年 卷 期：2012年第1479卷第1期

页      面：1769-1771页

学科分类：07[理学] 0702[理学-物理学] 

主　　题：PARTIAL differential equations FOURIER analysis DIFFERENTIAL equations -- Numerical solutions TRANSFORMATIONS (Mathematics) VARIABLES (Mathematics) INDEPENDENCE (Mathematics) 

摘      要：This paper considers the well-posedness of a special partial differential equation, whose right term is independent on the solution. With Fourier analysis, we introduce an executive procedure to analyze its well-posedness by variable transformations and present some conditions under which the system is well-posed. [ABSTRACT FROM AUTHOR]