Grow-up for a quasilinear heat equation with a localized reaction in higher dimensions

DOI10.1007/s13163-018-0267-4zbMath1400.35168arXiv1801.09538OpenAlexW2964185504MaRDI QIDQ1790944

Raúl Ferreira, Arturo de Pablo

Publication date: 4 October 2018

Published in: Revista Matemática Complutense (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.09538

zbMATH Keywords

localized reactiongrow-upquasilinear diffusion equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Quasilinear parabolic equations (35K59)

Related Items (7)

Self-similar blow-up patterns for a reaction-diffusion equation with weighted reaction in general dimension ⋮ Blow-up patterns for a reaction-diffusion equation with weighted reaction in general dimension ⋮ Self-similar solutions preventing finite time blow-up for reaction-diffusion equations with singular potential ⋮ Grow-up for a quasilinear heat equation with a localized reaction in higher dimensions ⋮ Blow up profiles for a reaction-diffusion equation with critical weighted reaction ⋮ Grow-up for a quasilinear heat equation with a localized reaction ⋮ Separate variable blow-up patterns for a reaction-diffusion equation with critical weighted reaction

Cites Work

• Cauchy problem for fast diffusion equation with localized reaction
• Existence and nonexistence of global solutions for \(u_ t = \Delta u + a(x)u^ p\) in \(\mathbb{R}^ d\)
• Classification of blow-up with nonlinear diffusion and localized reaction
• Some existence and nonexistence theorems for solutions of degenerate parabolic equations
• Grow-up for a quasilinear heat equation with a localized reaction in higher dimensions
• On the critical exponents for porous medium equation with a localized reaction in high dimensions
• The Balance Between Strong Reaction And Slow Diffusion
• On nonexistence of global solutions of some semilinear parabolic differential equations
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