Regularity of weak solutions to rate-independent systems in one-dimension

Autor: Minh, Mach Nguyet
Rok vydání: 2012
Předmět:
Zdroj: Math. Nachr. 287, No. 11-12, 1341-1362 (2014)
Druh dokumentu: Working Paper
DOI: 10.1002/mana.201300032
Popis: 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 $C^1$. Our assumption is essentially imposed on the energy functional, but not convexity is required.
Databáze: arXiv