Generalized solution of a kind of nonparametric curvature evolution with boundary condition

DOI10.1007/S10114-005-0570-0zbMath1106.35030OpenAlexW1976805937MaRDI QIDQ2508559

Huizhao Liu, Li Chen

Publication date: 13 October 2006

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0570-0

zbMATH Keywords

Gauss curvatureevolution of graphsconvex-monotone function

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Surfaces in Euclidean and related spaces (53A05)

Related Items (1)

The bipolar quantum drift-diffusion model

Cites Work

• Non-parametric mean curvature evolution with boundary conditions
• Convex-monotone functions and generalized solution of parabolic Monge--Ampère equation
• On an Aleksandrov-Bakel'Man Type Maximum Principle for Second-Order Parabolic Equations
• Evolution of nonparametric surfaces with speed depending on curvature II. The mean curvature case
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