Blow-up at space infinity for a quasilinear parabolic equation with space-dependent reaction

DOI10.14492/hokmj/2019-195zbMath1482.35049OpenAlexW4200320351WikidataQ114053833 ScholiaQ114053833MaRDI QIDQ2073170

Noriaki Umeda, Ryuichi Suzuki

Publication date: 27 January 2022

Published in: Hokkaido Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14492/hokmj/2019-195

zbMATH Keywords

Cauchy problemquasilinear parabolic equationminimal blow-up timespace infinityspace-dependent reaction

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Degenerate parabolic equations (35K65) Initial value problems for second-order parabolic equations (35K15) Continuation and prolongation of solutions to PDEs (35B60) Blow-up in context of PDEs (35B44) Quasilinear parabolic equations (35K59)

Cites Work

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• On instant blow-up for semilinear heat equations with growing initial data
• On blow-up at space infinity for semilinear heat equations
• The global profile of blow-up at space infinity in semilinear heat equations
• A boundary modulus of continuity for a class of singular parabolic equations
• Local and global solvability of a class of semilinear parabolic equations
• Complete blow-up after \(T_{\max}\) for the solution of a semilinear heat equation
• On blow-up of solutions for quasilinear degenerate parabolic equations
• Behavior of solutions of semilinear parabolic equations as \(x\to\infty\)
• A remark on blow-up at space infinity
• On directional blow-up for quasilinear parabolic equations with fast diffusion
• The Initial Trace of a Solution of the Porous Medium Equation
• The form of blow-up for nonlinear parabolic equations
• Analysis of a Convective Reaction-Diffusion Equation II
• Blow-up directions for quasilinear parabolic equations
• BLOW-UP AT SPACE INFINITY FOR NONLINEAR HEAT EQUATIONS
• Stabilization of solutions of a degenerate nonlinear diffusion problem
• Positivity versus localization in degenerate diffusion equations
• Continuation of blowup solutions of nonlinear heat equations in several space dimensions
• Complete blow-up for quasilinear degenerate parabolic equations

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