摘要
本文讨论了一类半线性热传导方程柯西问题整体解的存在唯一性。当初值φ和非线性项up(1-u)满足一定条件时,利用衰减估计和能量估计相结合的方法,并由Banach不动点定理得到了整体解的存在唯一性。
The existence and uniqueness of the global solution of Cauchy problem for a class of semi-linear heat conduction equation are discussed in this paper. Utilizing the estimation of energy and the estimation of degeneration together, and by the Banach fixed point theorem, the existence and uniqueness of the global solution are presented, as the initial valueand the non-linear term u^P( 1 - u) satisfy certain conditions.
出处
《石河子大学学报(自然科学版)》
CAS
2008年第2期253-256,共4页
Journal of Shihezi University(Natural Science)
关键词
半线性柯西问题
能量衰减
能量估计
不动点定理
semi-linear Cauchy problem
estimation of energy
estimation of degeneration
fixed point theorem