Lower bounds estimate for the blow-up time of a slow diffusion equation with nonlocal source and inner absorption
type: Item
instance of: scholarly article
title: Lower bounds estimate for the blow-up time of a slow diffusion equation with nonlocal source and inner absorption
zbMATH Open document ID: 1407.35118
DOI: 10.1155/2014/764248
author: Zhongbo Fang
author: Rui Yang
author: Yan Chai
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: We investigate a slow diffusion equation with nonlocal source and inner absorption subject to homogeneous Dirichlet boundary condition or homogeneous Neumann boundary condition. Based on an auxiliary function method and a differential inequality technique, lower bounds for the blow-up time are given if the blow-up occurs in finite time.
Mathematics Subject Classification ID: 35K59
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 35B44
Mathematics Subject Classification ID: 35B45
Mathematics Subject Classification ID: 35K20
Mathematics Subject Classification ID: 35R09
zbMATH DE Number: 7017220
Wikidata QID: Q59072044
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/764248
OpenAlex ID: W2049436247
cites work: Mathematical problems from combustion theory
cites work: Q3135823
cites work: Local vs. non-local interactions in population dynamics
cites work: Nonexistence of global weak solutions to some properly and improperly posed problems of mathematical physics: The method of unbounded Fourier coefficients
cites work: Blow-up and global solutions for quasilinear parabolic equations with Neumann boundary conditions
cites work: A class of degenerate diffusion equations with mixed boundary conditions
cites work: Lower bounds for blow-up time in parabolic problems under Dirichlet conditions
cites work: Lower bounds for blow-up time in a nonlinear parabolic problem
cites work: Lower bounds for the blow-up time in a non-local reaction-diffusion problem
cites work: Lower bound estimate for the blow-up time of a nonlinear nonlocal porous medium equation
cites work: Roles of weight functions to a nonlocal porous medium equation with inner absorption and nonlocal boundary condition
cites work: Best constant in Sobolev inequality
description: scientific article; zbMATH DE number 7017220