Timeline for Uniqueness of Lipschitz function satisfying differential equation
Current License: CC BY-SA 3.0
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Sep 20, 2012 at 12:18 | comment | added | Bazin | @Elena You have plenty of Eulerian results (I mean for the vector field PDE) for that type of vector fields. In particular a MR search on Ambrosio as author and keyword "nearly incompressible" or "$BV$ vector field" will provide plenty of references. | |
Sep 17, 2012 at 17:43 | comment | added | Elena Yudovina | Thank you. I was specifically fishing for results where $f$ has jump discontinuities -- in my case, the functions $f$ tend to be piecewise-nice but may, for example, depend on which of the coordinates of $X$ is positive (with, potentially, a jump at the boundary). | |
Sep 8, 2012 at 7:58 | history | answered | Bazin | CC BY-SA 3.0 |