Grow-up rate of solutions for a supercritical semilinear diffusion equation
Grow-up rate of solutions for a supercritical semilinear diffusion equation
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DOI：
10.1016/j.jde.2004.03.009
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发表时间：
2004-10
影响因子：
2.4
通讯作者：
M. Fila;M. Winkler;E. Yanagida
中科院分区：
文献类型：
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作者：
M. Fila;M. Winkler;E. Yanagida
我们研究了超临界半线性抛物型方程的柯西问题的解，该方程从下方收敛到奇异稳态，t→∞。我们表明，此类解决方案的增长速率取决于初始数据的空间衰减率。
We study solutions of the Cauchy problem for a supercritical semilinear parabolic equation which converge to a singular steady state from below as t→∞. We show that the grow-up rate of such solutions depends on the spatial decay rate of initial data.