Slow convergence to zero for a parabolic equation with a supercritical nonlinearity
Slow convergence to zero for a parabolic equation with a supercritical nonlinearity
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DOI：
10.1007/s00208-007-0148-5
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发表时间：
2007-11
影响因子：
1.4
通讯作者：
M. Fila;M. Winkler;E. Yanagida
中科院分区：
文献类型：
--
作者：
M. Fila;M. Winkler;E. Yanagida
研究了一类从ast→∞上收敛到零的超临界半线性抛物型方程的Cauchy问题解的性质。我们证明，对于某些初始数据，任何比自相似衰减率慢的代数衰减率都会出现。
We study the behaviour of solutions of the Cauchy problem for a supercritical semilinear parabolic equation which converge to zero from above ast→ ∞. We show that any algebraic decay rate slower than the self-similar one occurs for some initial data.