Critical exponent for nonlocal diffusion equations with Dirichlet boundary condition
Critical exponent for nonlocal diffusion equations with Dirichlet boundary condition
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DOI：
10.1016/j.mcm.2011.02.002
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发表时间：
2011-07
期刊：
影响因子：
--
通讯作者：
Guosheng Zhang;Yifu Wang
中科院分区：
文献类型：
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作者：
Guosheng Zhang;Yifu Wang
本文研究了一类带Dirichlet边界条件和反应项的非局部扩散方程，主要结果表明，该非局部扩散问题的临界指数pβ ≠ 0，与相应的局部扩散问题的临界指数pβ ≠ 0一致.讨论了解的爆破速率。
This paper is concerned with a nonlocal diffusion equation with Dirichlet boundary conditions and a reaction term Our main result shows that this nonlocal diffusion problem has a critical exponent pβ∗which coincides with that of the corresponding local diffusion problem. The blow-up rate of solutions is also discussed.