Critical exponents and blow-up rate for a nonlinear diffusion equation with logarithmic boundary flux
type: Item
instance of: scholarly article
title: Critical exponents and blow-up rate for a nonlinear diffusion equation with logarithmic boundary flux
zbMATH Open document ID: 1195.35044
author: Zhongping Li
author: Chunlai Mu
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2010-07-13T00:00:00Z
Mathematics Subject Classification ID: 35B33
Mathematics Subject Classification ID: 35K20
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 35K65
Mathematics Subject Classification ID: 35K61
zbMATH DE Number: 5736419
zbMATH Keywords: critical exponents
zbMATH Keywords: blow-up
zbMATH Keywords: blow-up rate
zbMATH Keywords: nonlinear diffusion equation
zbMATH Keywords: logarithmic boundary flux
zbMATH Keywords: critical Fujita exponent
MaRDI profile type: Publication
full work available at URL: j.na.2010.04.011
OpenAlex ID: W2040754793
cites work: Q4354424
cites work: Nonlinear elliptic boundary-value problems in unbounded domains
cites work: Blow-up in quasilinear parabolic equations. Transl. from the Russian by Michael Grinfeld
cites work: Blow-up for quasilinear heat equations with critical Fujita's exponents
cites work: Q3661987
cites work: On critical Fujita exponents for heat equations with nonlinear flux conditions on the boundary
cites work: Q3322513
cites work: The problem of blow-up in nonlinear parabolic equations
cites work: Nonexistence theorems for the heat equation with nonlinear boundary conditions and for the porous medium equation backward in time
cites work: Blow-up and global solutions for nonlinear reaction-diffusion equations with Neumann boundary conditions
cites work: Blow-up for quasilinear heat equations described by means of nonlinear Hamilton-Jacobi equations
cites work: Global blow-up of a nonlinear heat equation
cites work: Blow-up with logarithmic nonlinearities
cites work: A general approach to critical Fujita exponents in nonlinear parabolic problems
cites work: The Role of Critical Exponents in Blowup Theorems
cites work: Critical exponents for a fast diffusive polytropic filtration equation with nonlinear boundary flux
cites work: Critical curves for a degenerate parabolic equation with multiple nonlinearities
cites work: Stability and instability for solutions of the convective porous medium equation with a nonlinear forcing at the boundary. I
cites work: Stability and instability for solutions of the convective porous medium equation with a nonlinear forcing at the boundary. II
cites work: Regularity properties of flows through porous media: The interface
cites work: Some problems of the qualitative theory of non-linear degenerate second-order parabolic equations
cites work: Nonlinear diffusion equations
DOI: 10.1016/J.NA.2010.04.011
description: scientific article; zbMATH DE number 5736419