Upper estimates for blow-up solutions of a quasi-linear parabolic equation

DOI10.1007/s13160-023-00606-6MaRDI QIDQ6179927

Koichi Anada, Takeo K. Ushijima, Tetsuya Ishiwata

Publication date: 18 January 2024

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

asymptotic behaviorblow-up phenomenaquasi-linear parabolic equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order parabolic equations (35K20) Blow-up in context of PDEs (35B44) Quasilinear parabolic equations (35K59)

Cites Work

• Blow-up rates of solutions of initial-boundary value problems for a quasi-linear parabolic equation
• On the formation of singularities in the curve shortening flow
• Evolving convex curves
• Blow-up of solutions to a degenerate parabolic equation not in divergence form
• Asymptotic shape of cusp singularities in curve shortening
• Asymptotic expansions of traveling wave solutions for a quasilinear parabolic equation
• On a nonlinear parabolic equation arising from anisotropic plane curve evolution
• Blowup rate of solutions of a degenerate nonlinear parabolic equation
• Contracting convex immersed closed plane curves with slow speed of curvature
• Blow-up in a degenerate parabolic equation

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