Global existence and blow-up solutions for doubly degenerate parabolic system with nonlocal source
type: Item
instance of: scholarly article
title: Global existence and blow-up solutions for doubly degenerate parabolic system with nonlocal source
zbMATH Open document ID: 1211.35139
author: Jian Wang
published in: Journal of Mathematical Analysis and Applications
publication date: 2010-11-04T00:00:00Z
Mathematics Subject Classification ID: 35K51
Mathematics Subject Classification ID: 35K59
Mathematics Subject Classification ID: 35K65
Mathematics Subject Classification ID: 35B44
Mathematics Subject Classification ID: 35R09
zbMATH DE Number: 5810285
zbMATH Keywords: Dirichlet boundary conditions
zbMATH Keywords: non-Newton polytropic filtration
MaRDI profile type: Publication
full work available at URL: j.jmaa.2010.08.078
OpenAlex ID: W2018884138
cites work: Some problems of the qualitative theory of non-linear degenerate second-order parabolic equations
cites work: Q3409342
cites work: Doubly nonlinear parabolic-type equations as dynamical systems
cites work: Nonlinear diffusion equations
cites work: Hölder estimates for local solutions of some doubly nonlinear degenerate parabolic equations
cites work: Existence of nontrivial nonnegative periodic solutions for a class of doubly degenerate parabolic equation with nonlocal terms
cites work: Diffusion of Fluid in a Fissured Medium with Microstructure
cites work: The role of critical exponents in blow-up theorems: The sequel
cites work: Blow-up in quasilinear parabolic equations. Transl. from the Russian by Michael Grinfeld
cites work: Q3726641
cites work: Critical Fujita exponents for degenerate parabolic equations coupled via nonlinear boundary flux
cites work: Global existence and finite time blow up for a degenerate reaction-diffusion system
cites work: Global and blow-up solutions to a \(p\)-Laplacian equation with nonlocal source
cites work: Continuity of the gradient for weak solutions of a degenerate parabolic equation
cites work: On the Dirichlet Boundary Value Problem for a Degenerate Parabolic Equation
cites work: Global solutions for some nonlinear parabolic equations with nonmonotonic perturbations
cites work: Blowing-up of solution for a nonlocal reaction-diffusion problem in combustion theory
cites work: Uniform blow-up profiles and boundary behavior for diffusion equations with nonlocal nonlinear source
cites work: A priori \(L^\infty\)-estimate and existence of solutions for some nonlinear parabolic equations
cites work: Asymptotic stability and blowing up of solutions of some nonlinear equations
cites work: Global existence and blow-up of solutions to a nonlocal reaction-diffusion system
cites work: Existence and nonexistence of global solutions for nonlinear parabolic equations
cites work: Existence and nonexistence of solutions for \(u_ t=\text{div}(|\nabla u|^{p-2}\nabla u)+f(\nabla u,u,x,t)\)
cites work: Asymptotic behavior of solution for nonlocal reaction-diffusion system
cites work: Global existence and blow-up solutions and blow-up estimates for some evolution systems with \(p\)-Laplacian with nonlocal sources
cites work: Global existence and blow-up of solutions to a nonlocal quasilinear degenerate parabolic system
cites work: Global existence and blow-up solutions and blow-up estimates for a non-local quasilinear degenerate parabolic system
cites work: GLOBAL EXISTENCE AND BLOW-UP FOR A NON-NEWTON POLYTROPIC FILTRATION SYSTEM WITH NONLOCAL SOURCE
cites work: Nonexistence of positive solutions to a quasilinear elliptic system and blow-up estimates for a non-Newtonian filtration system
cites work: Asymptotically self‐similar blow‐up of semilinear heat equations
cites work: The Profile Near Blowup Time for Solution of the Heat Equation with a Nonlinear Boundary Condition
cites work: Nonexistence of positive solutions to a semilinear elliptic system and blow-up estimates for a reaction-diffusion system
cites work: Extinction and positivity for the evolution \(P\)-Laplacian equation
cites work: Degenerate parabolic equations
cites work: Q5562267
DOI: 10.1016/J.JMAA.2010.08.078
description: scientific article; zbMATH DE number 5810285