Viscosity solutions for a polymer crystal growth model

DOI10.1512/iumj.2011.60.4322zbMath1246.49026arXiv1003.1059OpenAlexW2950022445MaRDI QIDQ2909235

Aurélien Monteillet, Olivier Ley, Pierre Cardaliaguet

Publication date: 30 August 2012

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.1059

zbMATH Keywords

heat equationeikonal equationviscosity solutionslevel-set approachgeometrical propertieslower-bound gradient estimatenonlocal front propagationnonlocal Hamilton-Jacobi equations

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Maximum principles in context of PDEs (35B50) Regularity of solutions in optimal control (49N60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for nonlinear first-order PDEs (35F25) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Viscosity solutions to PDEs (35D40)

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Regularity results for eikonal-type equations with nonsmooth coefficients

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