On the convergence of solutions of some evolution differential equations

DOI10.1007/BF01027100zbMath0838.35010OpenAlexW1970805776MaRDI QIDQ1332543

Ennio De Giorgi

Publication date: 9 June 1996

Published in: Set-Valued Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01027100

zbMATH Keywords

mean curvature flowrotation number

Mathematics Subject Classification ID

Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Initial value problems for second-order parabolic equations (35K15) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Initial value problems for linear first-order PDEs (35F10)

Related Items

On a conjecture of De Giorgi related to homogenization, Homogenization of ODE's in \(\mathbb {R}^N\)

Cites Work

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• Homogeneization problems for ordinary differential equations
• The homogenization of an ordinary differential equation with a chessboard structure
• Ordinary differential equations, transport theory and Sobolev spaces
• Homogenization of first order hyperbolic equations and application to miscible flow in porous media
• The effect of a singular perturbation on nonconvex variational problems
• Sur la conjugaison différentiable des difféomorphismes du cercle à des rotations. (On smooth conjugacy of diffeomorphisms of the circle with rotations)
• Motion by mean curvature as the singular limit of Ginzburg-Landau dynamics
• \(\Gamma\)-convergence and numerical analysis: An application to the minimal partition problem
• Motion of a set by the curvature of its boundary
• Esistenza e regolarita delle ipersuperfici di curvatura media assegnata in \(R^n\)
• Convergence of the Allen-Cahn equation to Brakke's motion by mean curvature
• Gamma-convergence and the least squares method
• The weak solutions to the evolution problems of harmonic maps
• Memory effects and homogenization
• \(\Gamma\)-convergence of discrete approximations to interfaces with prescribed mean curvature
• A Linear Homogenization Problem with Time Dependent Coefficient
• The gradient theory of phase transitions for systems with two potential wells
• Homogenization of Linear Transport Equations with Oscillatory Vector Fields
• Homogenisation of parametrised families of hyperbolic problems
• Development of interfaces in ℝ^N
• Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations