Regularity of weak solutions to rate-independent systems in one-dimension
Autor: | Minh, Mach Nguyet |
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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 |
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