Regularity of weak solutions to rate-independent systems in one-dimension
Analysis of PDEs
2016-02-11 v4
Abstract
We show that under some appropriate assumptions, every weak solution (e.g. energetic solution) to a given rate-independent system is of class SBV, or has finite jumps, or is even piecewise . Our assumption is essentially imposed on the energy functional, but not convexity is required.
Keywords
Cite
@article{arxiv.1211.5804,
title = {Regularity of weak solutions to rate-independent systems in one-dimension},
author = {Mach Nguyet Minh},
journal= {arXiv preprint arXiv:1211.5804},
year = {2016}
}