Asymptotic behaviour and blow-up of some unbounded solutions for a semilinear heat equation

DOI10.1017/S001309150002280XzbMath0855.35070MaRDI QIDQ4893687

Dimitrios E. Tzanetis

Publication date: 3 February 1997

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

blow-upradial symmetric solutionsclassical unbounded solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Cites Work

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• Singular Behavior in Nonlinear Parabolic Equations
• The Number of Peaks of Positive Solutions of Semilinear Parabolic Equations
• Global existence and convergence to a singular steady state for a semilinear heat equation
• 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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