Regional blow-up for nonlinear degenerate parabolic equations

DOI10.1016/S0362-546X(97)00181-8zbMath0890.35073OpenAlexW2074420837MaRDI QIDQ4378913

Isamu Fukuda

Publication date: 11 June 1998

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(97)00181-8

zbMATH Keywords

KdV equationcurve shorteningblow-up of viscosity solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Degenerate parabolic equations (35K65)

Cites Work

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• Single point blow-up for a semilinear initial value problem
• On the formation of singularities in the curve shortening flow
• Blow-up of solutions of nonlinear degenerate parabolic equations
• The global feature of unbounded solutions to a nonlinear parabolic equation
• Nonuniqueness of solutions of a degenerate parabolic equation
• Uniqueness of solutions to the Cauchy problem for \(u_ t-u\Delta u+\gamma|\nabla u|^ 2=0\)
• Discontinuous "Viscosity" Solutions of a Degenerate Parabolic Equation
• Positivity properties of viscosity solutions of a degenerate parabolic equation
• The initial-boundary value problem for a nonlinear degenerate parabolic equation
• On the growth of solutions of quasi‐linear parabolic equations

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