Hölder continuity of discrete Morse flows to the Alt-Caffarelli variational problem generating free boundaries

DOI10.1016/J.NA.2011.07.037zbMath1231.35054OpenAlexW2056086839MaRDI QIDQ642581

Yoshihiko Yamaura

Publication date: 27 October 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.07.037

zbMATH Keywords

free boundary problemHölder continuitydiscrete Morse flows

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Free boundary problems for PDEs (35R35) Variational methods for second-order elliptic equations (35J20)

Related Items (2)

The discrete Morse flow method for parabolic \(p\)-Laplacian systems ⋮ Uniform Hölder continuity of approximate solutions to parabolic systems and its application

Cites Work

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• Linear and quasilinear elliptic equations
• Mathematical analysis of a constrained parabolic free boundary problem describing droplet motion on a surface
• Uniform estimates and limits for a two phase parabolic singular perturbation problem
• A Free-Boundary Problem for the Heat Equation Arising in Flame Propagation

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