Estimates for evolutionary surfaces of prescribed mean curvature

DOI10.1007/BF01318902zbMath0469.35053OpenAlexW2003718035MaRDI QIDQ1156941

Klaus Ecker

Publication date: 1982

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173179

zbMATH Keywords

quasilinear parabolic equationprescribed mean curvatureevolutionary surfacesminimal surface operatorinterior gradient boundtime independent surfaces

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Nonlinear elliptic equations (35J60)

Related Items

Young measure solutions of a class of forward--backward diffusion equations, Mean Curvature Flow in Higher Codimension: Introduction and Survey, Similar entropy solutions of a singular diffusion equation, Mean curvature flow with linear oblique derivative boundary conditions, Infinite time blow-up of solutions to a nonlinear parabolic problem, Gradient estimates for solutions of parabolic equations and systems, ESTIMATE FOR EVOLUTIONARY SURFACES OF PRESCRIBED MEAN CURVATURE AND THE CONVERGENCE, Self-similar entropy solutions of a singular diffusion equation in arbitrary spatial dimension, Interior gradient estimates for nonuniformly parabolic equations. II, Non-parametric mean curvature evolution with boundary conditions, Existence of solutions for a class of heat equations involving the mean curvature operator, Eventual regularity for the parabolic minimal surface equation

Cites Work

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