两温度理论中的半线性热传导方程的初边值问题  

Initial-boundary Value Problem of Semilinear Heat Equation Arising in Dual Temperature Theory

作　　者：隋振璋 

机构地区：[1]东北林业大学数学系,哈尔滨150001

出　　处：《哈尔滨工程大学学报》1996年第2期93-97,共5页Journal of Harbin Engineering University

摘　　要：研究热传导的两温度理论中的半线性方程 u_t-△u_t-△u=f(u)的初边值问题,证明了当 f′(u)上方有界且满足增长条件(7)时,问题存在唯一整体广义解与整体强解,并讨论了解的渐近性质。In this paper, we study the initial -boundary value problem of sernilinear heat equation arising in dual temperature theory u_t -Δu_t -Δu = f( u ) , prove that if f′( u ) is bounded above and satisfies growth condition (7), there will exist a unique global generalized solution and a global strong solution, are discuss also the asymptotic behavior of these solutions.

关 键 词：温度理论 半线性 整体解 热传导方程 初边值问题 

分 类 号：O175.24[理学—数学]