Blow-up analysis for a quasilinear degenerate parabolic equation with strongly nonlinear source

DOI10.1155/2012/109546zbMath1250.35045OpenAlexW2103439395WikidataQ58694842 ScholiaQ58694842MaRDI QIDQ448579

Xianzhong Yao, Shouming Zhou, Pan Zheng, Dengming Liu, Chun-Lai Mu

Publication date: 7 September 2012

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/109546

zbMATH Keywords

single-point blow-up

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Degenerate parabolic equations (35K65) Initial value problems for second-order parabolic equations (35K15) Blow-up in context of PDEs (35B44) Quasilinear parabolic equations (35K59)

Related Items

The Cauchy problem for a nonlinear degenerate parabolic system in non-divergence form, Existence of solutions to the slow diffusion equation with a nonlinear source, On the Properties of Solutions of Multidimensional Nonlinear Filtration Problem with Variable Density and Nonlocal Boundary Condition in the Case of Fast Diffusion

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Cauchy problem of some doubly degenerate parabolic equations with initial datum a measure
• Life span and a new critical exponent for a doubly degenerate parabolic equation with slow decay initial values
• Single point blow-up for a semilinear initial value problem
• The blow-up phenomenon for degenerate parabolic equations with variable coefficients and nonlinear source
• Single-point blow-up for a semilinear parabolic system
• Life span and a new critical exponent for a quasilinear degenerate parabolic equation with slow decay initial values
• Life span and asymptotic behavior for a semilinear parabolic system with slowly decaying initial values
• On a fast diffusion equation with source
• Life span and a new critical exponent for a degenerate parabolic equation
• Large time behavior and life span for a quasilinear parabolic equation with slowly decaying initial values
• On the Cauchy problem and initial traces for the evolution \(p\)-Laplacian equations with strongly nonlinear sources
• The role of critical exponents in blow-up theorems: The sequel
• LOCALIZATION OF SOLUTIONS TO A DOUBLY DEGENERATE PARABOLIC EQUATION WITH A STRONGLY NONLINEAR SOURCE
• Single-point blow-up for a doubly degenerate parabolic equation with nonlinear source
• The Role of Critical Exponents in Blowup Theorems
• Conditions for global non-existence and localization of solutions of the cauchy problem for a class of non-linear parabolic equations
• Addendum to “Holder estimates for nonlinear degenerate parabolic Systems”.
• Some problems of the qualitative theory of non-linear degenerate second-order parabolic equations
• Global Existence, Large Time Behavior and Life Span of Solutions of a Semilinear Parabolic Cauchy Problem
• A general approach to critical Fujita exponents in nonlinear parabolic problems
• The critical exponents of parabolic equations and blow-up inRⁿ
• A critical exponent in a degenerate parabolic equation
• Fujita type theorems for quasilinear parabolic equations with initial data slowly decaying to zero
• Cauchy problem and initial trace for a doubly degenerate parabolic equation with strongly nonlinear sources