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arXiv · 1211.5804

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

Mach Nguyet Minh
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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 $C^1$. Our assumption is essentially imposed on the energy functional, but not convexity is required.

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Mach Nguyet Minh. 2016-02-10. Regularity of weak solutions to rate-independent systems in one-dimension. https://doi.org/10.1002/mana.201300032

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