On a simple maximum principle technique applied to equations on the circle

DOI10.1016/J.JDE.2008.04.007zbMath1154.35012OpenAlexW1996244769MaRDI QIDQ932274

Yu-Chu Lin, Dong-Ho Tsai

Publication date: 10 July 2008

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2008.04.007

zbMATH Keywords

quasilinear equationexponential decay of the derivatives

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Initial-boundary value problems for second-order parabolic equations (35K20) Maximum principles in context of PDEs (35B50)

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Cites Work

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• Convergence, asymptotic periodicity, and finite-point blow-up in one- dimensional semilinear heat equations
• Geometric expansion of convex plane curves
• The heat equation shrinking convex plane curves
• Four-manifolds with positive curvature operator
• Geometric aspects of Aleksandrov reflection and gradient estimates for parabolic equations
• Expansion of embedded curves with turning angle greater than \(-\pi\)
• Geometric expansion of starshaped plane curves
• Behavior of the gradient for solutions of parabolic equations on the circle
• A CERTAIN PROPERTY OF SOLUTIONS OF PARABOLIC EQUATIONS WITH MEASURABLE COEFFICIENTS

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