Abstract
We study degenerate and singular parabolic equations in one space dimension. The emphasis is put on the regularity of solutions and the creation as well as the evolution of facets. Facets are understood as flat parts of the graph of solutions being a result of extremely high singularity. The systems, which we consider, arise from the theory of crystals.
Information
Published: 1 January 2015
First available in Project Euclid: 19 October 2018
zbMATH: 1365.35084
MathSciNet: MR3587452
Digital Object Identifier: 10.2969/aspm/06710225
Subjects:
Primary:
35B65
,
35K67
Keywords:
Anisotropy
,
facets
,
parabolic systems
,
sudden directional diffusion
Rights: Copyright © 2015 Mathematical Society of Japan
