Existence of solution and asymptotic behavior for a class of parabolic equations

DOI10.3934/cpaa.2021017zbMath1466.35031OpenAlexW3130205973MaRDI QIDQ2032089

Marcelo Montenegro, Anderson Luis A. de Araujo

Publication date: 16 June 2021

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2021017

zbMATH Keywords

maximum principleasymptotic behavioruniquenessexistence of solution

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Abstract parabolic equations (35K90) Initial-boundary value problems for second-order parabolic equations (35K20) Maximum principles in context of PDEs (35B50) Singular parabolic equations (35K67) Quasilinear parabolic equations (35K59)

Cites Work

• Unnamed Item
• Fully nonlinear curvature flow of axially symmetric hypersurfaces with boundary conditions
• Motion of level sets by mean curvature. I
• Asymptotic behavior for singularities of the mean curvature flow
• Neck pinching dynamics under mean curvature flow
• The heat equation shrinking convex plane curves
• The shape of a figure-eight under the curve shortening flow
• Parabolic equations for curves on surfaces. I: Curves with \(p\)-integrable curvature
• Non-parametric mean curvature evolution with boundary conditions
• Starshaped hypersurfaces and the mean curvature flow
• Behaviour of singularities of the rotationally symmetric, volume-preserving mean curvature flow
• Convexity estimates for mean curvature flow and singularities of mean convex surfaces
• Mean curvature flow through singularities for surfaces of rotation
• Boundary value problems for rotationally symmetric mean curvature flows
• Neck pinching for periodic mean curvature flows
• Singularities and uniqueness of cylindrically symmetric surfaces moving by mean curvature
• Mean Curvature Flow Closes Open Ends of Noncompact Surfaces of Rotation
• The volume preserving mean curvature flow near spheres
• On mean curvature flow with forcing

This page was built for publication: Existence of solution and asymptotic behavior for a class of parabolic equations