Acta mathematica scientia,Series B ›› 2004, Vol. 24 ›› Issue (2): 307-312.
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TANG YANBIN|ZHOU LI;Omer Ali
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The project is supported by National Natural Science Foundation of China (10071026).
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.
Key words: Asymptotic behavior;heat equation;nonlinear boundary condition, upper and lower solutions
CLC Number:
TANG YANBIN|ZHOU LI;Omer Ali. ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO THE HEAT EQUATIONS WITH NONLINEAR BOUNDARY CONDITIONS[J].Acta mathematica scientia,Series B, 2004, 24(2): 307-312.
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http://actams.apm.ac.cn/sxwlxbB/EN/Y2004/V24/I2/307
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