Critical exponent for nonlocal diffusion equations with Dirichlet boundary condition

Guosheng Zhang; Yifu Wang

doi:10.1016/j.mcm.2011.02.002

Critical exponent for nonlocal diffusion equations with Dirichlet boundary condition

Guosheng Zhang^*, Yifu Wang

^*此作品的通讯作者

数学学院

Beijing Institute of Technology

科研成果: 期刊稿件 › 文章 › 同行评审

8 引用（Scopus）

摘要

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 p_β^* which coincides with that of the corresponding local diffusion problem. The blow-up rate of solutions is also discussed.

源语言	英语
页（从-至）	203-209
页数	7
期刊	Mathematical and Computer Modelling
卷	54
期	1-2
DOI	https://doi.org/10.1016/j.mcm.2011.02.002
出版状态	已出版 - 7月 2011

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10.1016/j.mcm.2011.02.002

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abstract = "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.",

keywords = "Blow-up, Critical exponent, Nonlocal diffusion",

author = "Guosheng Zhang and Yifu Wang",

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AB - 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.

KW - Blow-up

KW - Critical exponent

KW - Nonlocal diffusion

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Critical exponent for nonlocal diffusion equations with Dirichlet boundary condition

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