一类非线性klein－Gorden方程与热传导方程耦合组的Cauchy问题的整体经典解的存在唯一性  

Global Existence Theorem of Solution for Cauchy Problem for Nonlinear Heat Equation and klein-Gorden Equation Coupled Systems

作　　者：德娜.吐热汗 

出　　处：《新疆农业大学学报》1996年第1期77-82,共6页Journal of Xinjiang Agricultural University

摘　　要：本文讨论非线性ｋｌｅｉｎ－Ｇｏｒｄｅｎ方程与非线性热传导方程耦合组的Ｃａｕｃｈｙ问题，对初值和空间维数及非线项加以适当的限制，利用能量估计和衰减估计相结合的方法，在Ｓｏｂｏｌｅｖ空间框架下。In this paper Cauchy problem for nonlinera klein-Gorden equation and heat equation coupled systems is discussed and some restritions on inital data and space dimension and nonlinear term are given.In Sobolev space, we obtained the existence and uniqueness of global solution by using fixed- point principles.

关 键 词：非线性方程 耦合组 小初值 能量估计 

分 类 号：O175.14[理学—数学]