一类半线性双温度热传导方程整体强解的存在性  

Existence of the Global Strong Solutions for a Class of Semi-linear Dual-Temperature Heat Equation

作　　者：陈海滨[1] 刘亚成[2] 

机构地区：[1]曲阜师范大学运筹与管理学院,日照276826 [2]哈尔滨工程大学理学院,哈尔滨150001

出　　处：《应用泛函分析学报》2012年第1期95-99,共5页Acta Analysis Functionalis Applicata

摘　　要：给出了一类半线性双温度热传导方程的初边值问题整体强解的存在条件,利用位势井方法证明了整体强解的存在性定理,且证明了方程的解或解对x的某些导数的L^2模估计式.In this paper, we study the existence of the global strong solutions for a class of semi-linear dual-temperature equation. We introduce the potential well method and mainly prove the existence theorems of the global strong solutions, and then we, prove some norm estimates of solutions and their derivatives before the proof of theorem.

关 键 词：热传导方程 初边值 位势井 存在性 

分 类 号：O175.26[理学—数学]