A variational view at the time-dependent minimal surface equation

DOI10.1007/s00028-011-0111-5zbMath1246.35117OpenAlexW2095279070MaRDI QIDQ409213

Ulisse Stefanelli, Emanuele Nunzio Spadaro

Publication date: 12 April 2012

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

Full work available at URL: https://doi.org/10.1007/s00028-011-0111-5

zbMATH Keywords

gradient flowelliptic regularizationparabolic linear growth equationsrelaxation resultweighted energy-dissipation functional

Mathematics Subject Classification ID

Related Items (13)

Variational resolution of outflow boundary conditions for incompressible Navier–Stokes ⋮ A new minimum principle for Lagrangian mechanics ⋮ Existence of evolutionary variational solutions via the calculus of variations ⋮ Dynamic Perfect Plasticity as Convex Minimization ⋮ A variational approach to doubly nonlinear equations ⋮ Existence for evolutionary problems with linear growth by stability methods ⋮ A variational approach to Navier–Stokes ⋮ Weighted energy-dissipation approach to doubly nonlinear problems on the half line ⋮ Runge-Kutta time discretization of nonlinear parabolic equations studied via discrete maximal parabolic regularity ⋮ Stochastic PDEs via convex minimization ⋮ Existence for evolutionary Neumann problems with linear growth by stability results ⋮ Weighted energy-dissipation principle for gradient flows in metric spaces ⋮ A Time Dependent Variational Approach to Image Restoration

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Weighted energy-dissipation functionals for doubly nonlinear evolution
• A parabolic quasilinear problem for linear growth functionals
• A variational principle for doubly nonlinear evolution
• Minimum principles for the trajectories of systems governed by rate problems
• Parabolic quasilinear equations minimizing linear growth functionals
• Nonlinear semigroups in Hilbert space
• Semi-groups of nonlinear contractions and dissipative sets
• Sublinear functions of measures and variational integrals
• Weighted energy-dissipation functionals for gradient flows
• THE DE GIORGI CONJECTURE ON ELLIPTIC REGULARIZATION
• On the Definition and Properties of Certain Variational Integrals
• A class of minimum principles for characterizing the trajectories and the relaxation of dissipative systems
• The Discontinuity Set of Solutions of the TV Denoising Problem and Some Extensions
• The Euler Equation for Functionals with Linear Growth
• BV solutions of quasilinear PDEs in divergence form
• Existence of Periodic Solutions for Nonlinear Evolution Equations in Hilbert Spaces
• Elliptic regularization and partial regularity for motion by mean curvature
• A discrete variational principle for rate-independent evolution
• Existence and uniqueness of a solution for a parabolic quasilinear problem for linear growth functionals with \(L^1\) data.

This page was built for publication: A variational view at the time-dependent minimal surface equation