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VOL. 67 | 2015 Models of a sudden directional diffusion
Piotr Bogusław Mucha, Piotr Rybka

Editor(s) Luigi Ambrosio, Yoshikazu Giga, Piotr Rybka, Yoshihiro Tonegawa

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

Rights: Copyright © 2015 Mathematical Society of Japan

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