Blow-up criteria for semilinear parabolic equations

DOI10.1006/jmaa.1999.6664zbMath0942.35017OpenAlexW2042794565MaRDI QIDQ1972559

Takashi Suzuki, Atsuhito Kohda

Publication date: 15 August 2000

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1999.6664

zbMATH Keywords

convex nonlinearitysub-solutionssuper-solutions

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items (1)

Blow-up solutions for a class of nonlinear parabolic equations with Dirichlet boundary conditions

Cites Work

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• On the Dirichlet problem for quasi-linear elliptic differential equations of the second order
• Asymptotic behavior and stability of solutions of semilinear diffusion equations
• Geometric theory of semilinear parabolic equations
• Spectral and related properties about the Emden-Fowler equation \(-\Delta u=\lambda e^ u\) on circular domains
• On the stability or instability of the singular solution of the semilinear heat equation with exponential reaction term
• Blow up for \(u_ t- \Delta u=g(u)\) revisited
• Mathematical Analysis of Thermal Runaway for Spatially Inhomogeneous Reactions
• Global existence and convergence to a singular steady state for a semilinear heat equation
• A Criterion for Blow-Up of Solutions to Semilinear Heat Equations
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• On the nonlinear equations Δ𝑢+𝑒^{𝑢}=0 and ∂𝑣/∂𝑡=Δ𝑣+𝑒^{𝑣}

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