| ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO THE HEAT EQUATIONS WITH NONLINEAR BOUNDARY CONDITIONS |
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| 引用本文： | 汤燕斌,周笠,Omer Ali. ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO THE HEAT EQUATIONS WITH NONLINEAR BOUNDARY CONDITIONS[J]. 数学物理学报(B辑英文版), 2004, 24(2): 307-312 |
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| 作者姓名： | 汤燕斌 周笠 Omer Ali |
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| 作者单位： | [1]DepartmentofMathematics,HuazhongUniversityofScienceandTechnology,Wuhan430075,China [2]DepartmentofMathematics,SudanUniversityofScienceandTechnology,Khartoum,P.O.Box,407,Sudan |
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| 摘 要： | The purpose of this paper is to investigate the stability and asymptotic behav-ior of the time-dependent solutions to a linear parabolic equation with nonlinear boundarycondition in relation to their corresponding steady state solutions. Then, the above resultsare extended to a semilinear parabolic equation with nonlinear boundary condition by an-alyzing the corresponding eigenvalue problem and using the method of upper and lowersolutions.
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| 关 键 词： | 渐近行为 热力方程 非线性边界条件 抛物型方程 |
ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO THE HEAT EQUATIONS WITH NONLINEAR BOUNDARY CONDITIONS |
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| Omer Ali. ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO THE HEAT EQUATIONS WITH NONLINEAR BOUNDARY CONDITIONS[J]. Acta Mathematica Scientia, 2004, 24(2): 307-312 |
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| Authors: | Omer Ali |
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| Abstract: | The purpose of this paper is to investigate the stability and asymptotic behavior of the time-dependent solutions to a linear parabolic equation with nonlinear boundary condition in relation to their corresponding steady state solutions. Then, the above results are extended to a semilinear parabolic equation with nonlinear boundary condition by analyzing the corresponding eigenvalue problem and using the method of upper and lower solutions. |
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| Keywords: | Asymptotic behavior heat equation nonlinear boundary condition upper and lower solutions |
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