| 一类半线性双温度热传导方程整体强解的存在性 |
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| 引用本文： | 陈海滨,刘亚成.一类半线性双温度热传导方程整体强解的存在性[J].应用泛函分析学报,2012,14(1):95-99. |
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| 作者姓名： | 陈海滨 刘亚成 |
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| 作者单位： | 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 |
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| 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．
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| 关 键 词： | 热传导方程 初边值 位势井 存在性 |
Existence of the Global Strong Solutions for a Class of Semi-linear Dual-Temperature Heat Equation |
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| CHEN Haibin
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LIU Yacheng.Existence of the Global Strong Solutions for a Class of Semi-linear Dual-Temperature Heat Equation[J].Acta Analysis Functionalis Applicata,2012,14(1):95-99. |
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| Authors: | CHEN Haibin LIU Yacheng |
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| Institution: | 1.Department of Operations Research and Management Science,Qufu Normal University,Rizhao 276826,China 2.College of Science,Harbin Engineering University,Harbin 150001,China |
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| Abstract: | 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. |
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| Keywords: | heat equation initial-boundary value potential well existence |
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