The vanishing exponent limit for motion by a power of mean curvature

DOI10.4171/IFB/432zbMath1442.35200OpenAlexW3017104860MaRDI QIDQ2180655

Qing Liu

Publication date: 14 May 2020

Published in: Interfaces and Free Boundaries (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/ifb/432

zbMATH Keywords

asymptotic behaviorviscosity solutionspower mean curvature flowdiscontinuous parabolic equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Second-order parabolic equations (35K10) Viscosity solutions to PDEs (35D40) Quasilinear parabolic equations with mean curvature operator (35K93) Flows related to mean curvature (53E10)

Related Items (3)

Large exponent behavior for power-type nonlinear evolution equations and applications ⋮ On an obstacle problem arising in large exponent asymptotics for one dimensional fully nonlinear diffusions of power type ⋮ An obstacle problem arising in large exponent limit of power mean curvature flow equation

Cites Work

• Semiconcave functions, Hamilton-Jacobi equations, and optimal control
• Motion of level sets by mean curvature. I
• A nonlinear parabolic equation with discontinuity in the highest order and applications
• The maximum principle for viscosity solutions of fully nonlinear second order partial differential equations
• Viscosity solutions of fully nonlinear second-order elliptic partial differential equations
• A remark on regularization in Hilbert spaces
• Evolving convex curves
• Axioms and fundamental equations of image processing
• Evolving graphs by singular weighted curvature
• Generalized motion of noncompact hypersurfaces with velocity having arbitrary growth on the curvature tensor
• On the strong maximum principle for fully nonlinear degenerate elliptic equations
• Large exponent behavior for power-type nonlinear evolution equations and applications
• Periodic total variation flow of non-divergence type in \(\mathbb R^n\)
• Evolution of convex hypersurfaces by powers of the mean curvature
• A Uniqueness Result for Viscosity Solutions of Second Order Fully Nonlinear Partial Differential Equations
• Exit Time Problems in Optimal Control and Vanishing Viscosity Method
• Image Selective Smoothing and Edge Detection by Nonlinear Diffusion. II
• User’s guide to viscosity solutions of second order partial differential equations
• Classification of limiting shapes for isotropic curve flows
• Image processing via level set curvature flow.
• An obstacle problem arising in large exponent limit of power mean curvature flow equation
• A deterministic‐control‐based approach motion by curvature
• A strong maximum principle for parabolic equations
• Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations
• Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations
• Generalized motion by nonlocal curvature in the plane

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