Regional blow-up of solutions to the initial boundary value problem forut=uδ(Δu +u)

DOI10.1017/S030821050002388XzbMath0883.35068MaRDI QIDQ4354114

Tetsuya Ishiwata, Masayoshi Tsutsumi

Publication date: 23 March 1998

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

blowup rateblowup setradial symmetric case

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Degenerate parabolic equations (35K65) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items (5)

Existence and some properties of weak solutions for a singular nonlinear parabolic equation ⋮ Blow-up rates of solutions of initial-boundary value problems for a quasi-linear parabolic equation ⋮ Blow-up of solutions to a degenerate parabolic equation not in divergence form ⋮ Unnamed Item ⋮ On the global solutions to a class of strongly degenerate parabolic equations

Cites Work

• Unnamed Item
• On the formation of singularities in the curve shortening flow
• The heat equation shrinking convex plane curves
• The global feature of unbounded solutions to a nonlinear parabolic equation
• Nonuniqueness of solutions of a degenerate parabolic equation
• Blow-up for solutions of some degenerate parabolic equations
• Discontinuous "Viscosity" Solutions of a Degenerate Parabolic Equation
• Positivity properties of viscosity solutions of a degenerate parabolic equation
• Global Behavior for a Class of Nonlinear Evolution Equations
• The zero set of a solution of a parabolic equation.
• The initial-boundary value problem for a nonlinear degenerate parabolic equation

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