The convergence rate for a semilinear parabolic equation with a critical exponent
The convergence rate for a semilinear parabolic equation with a critical exponent
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具有临界指数的半线性抛物型方程的收敛速度
DOI：
10.1016/j.aml.2010.10.041
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发表时间：
2011
期刊：
影响因子：
--
通讯作者：
Christian Stinner
中科院分区：
文献类型：
--
作者：
Christian Stinner
研究了一类在Joseph和Lundgren意义下临界的具有非线性项的半线性抛物型方程柯西问题的解，并建立了收敛到正则定态的速度。在临界情况下，该速率包含一个在超临界情况下不出现的对数项。
We study solutions to the Cauchy problem for a semilinear parabolic equation with a nonlinearity which is critical in the sense of Joseph and Lundgren and establish the rate of convergence to regular steady states. In the critical case, this rate contains a logarithmic term which does not appear in the supercritical case.