Unbounded rough drivers
Abstract
We propose a theory of linear differential equations driven by unbounded operator-valued rough signals. As an application we consider rough linear transport equations and more general linear hyperbolic symmetric systems of equations driven by time-dependent vector fields which are only distributions in the time direction.
- Publication:
-
arXiv e-prints
- Pub Date:
- January 2015
- DOI:
- 10.48550/arXiv.1501.02074
- arXiv:
- arXiv:1501.02074
- Bibcode:
- 2015arXiv150102074B
- Keywords:
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- Mathematics - Analysis of PDEs;
- Mathematics - Probability;
- 35R60
- E-Print:
- 38 pages. some improvements and precisions