Asymptotic behavior of solutions to the heat equations with nonlinear boundary conditions

作者：Tang YB^*; Li Z

来源：Acta Mathematica Scientia, 2004, 24(2): 307-312.

• asymptotic behavior
• heat equation
• nonlinear boundary condition
• upper and lower solutions

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.

• 出版日期2004-4
• 单位华中科技大学