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

^*Corresponding author for this work

School of Mathematics and Statistics

Beijing Institute of Technology

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

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

Original language	English
Pages (from-to)	203-209
Number of pages	7
Journal	Mathematical and Computer Modelling
Volume	54
Issue number	1-2
DOIs	https://doi.org/10.1016/j.mcm.2011.02.002
Publication status	Published - Jul 2011

Keywords

Blow-up
Critical exponent
Nonlocal diffusion

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10.1016/j.mcm.2011.02.002

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title = "Critical exponent for nonlocal diffusion equations with Dirichlet boundary condition",

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",

year = "2011",

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doi = "10.1016/j.mcm.2011.02.002",

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AU - Zhang, Guosheng

AU - Wang, Yifu

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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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JO - Mathematical and Computer Modelling

JF - Mathematical and Computer Modelling

IS - 1-2

ER -

Critical exponent for nonlocal diffusion equations with Dirichlet boundary condition

Abstract

Keywords

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