Lower bounds estimate for the blow-up time of a slow diffusion equation with nonlocal source and inner absorption

DOI10.1155/2014/764248zbMath1407.35118OpenAlexW2049436247WikidataQ59072044 ScholiaQ59072044MaRDI QIDQ1719099

Yan Chai, Zhong Bo Fang, Rui Yang

Publication date: 8 February 2019

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/764248

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Initial-boundary value problems for second-order parabolic equations (35K20) A priori estimates in context of PDEs (35B45) Blow-up in context of PDEs (35B44) Integro-partial differential equations (35R09) Quasilinear parabolic equations (35K59)

Related Items (12)

RETRACTED: Solutions of the equilibrium equations with finite mass subject ⋮ Bounds for the blow-up time of a porous medium equation with weighted nonlocal source and inner absorption terms ⋮ Blow up of solutions for a class of fourth order nonlinear pseudo-parabolic equation with a nonlocal source ⋮ Blow-up analysis for a reaction-diffusion equation with weighted nonlocal inner absorptions under nonlinear boundary flux ⋮ Blow-up analysis for a semilinear parabolic equation with time-dependent coefficients under nonlinear boundary flux ⋮ Unnamed Item ⋮ Lower bounds for blow-up time in nonlocal parabolic problem under Robin boundary conditions ⋮ Blow-up analysis for a quasilinear parabolic equation with inner absorption and nonlinear Neumann boundary condition ⋮ Blow-up analysis in quasilinear reaction-diffusion problems with weighted nonlocal source ⋮ Blow-up phenomena for a porous medium equation with time-dependent coefficients and inner absorption term under nonlinear boundary flux ⋮ Blow-up phenomena for a nonlocal quasilinear parabolic equation with time-dependent coefficients under nonlinear boundary flux ⋮ Blow-up phenomenon for a reaction-diffusion equation with weighted nonlocal gradient absorption terms

Cites Work

• Unnamed Item
• Lower bounds for the blow-up time in a non-local reaction-diffusion problem
• Local vs. non-local interactions in population dynamics
• Lower bounds for blow-up time in parabolic problems under Dirichlet conditions
• Lower bounds for blow-up time in a nonlinear parabolic problem
• Best constant in Sobolev inequality
• Mathematical problems from combustion theory
• Nonexistence of global weak solutions to some properly and improperly posed problems of mathematical physics: The method of unbounded Fourier coefficients
• A class of degenerate diffusion equations with mixed boundary conditions
• Roles of weight functions to a nonlocal porous medium equation with inner absorption and nonlocal boundary condition
• Lower bound estimate for the blow-up time of a nonlinear nonlocal porous medium equation
• Blow-up and global solutions for quasilinear parabolic equations with Neumann boundary conditions

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