Timeline for Uniqueness of Lipschitz function satisfying differential equation
Current License: CC BY-SA 3.0
5 events
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Sep 7, 2012 at 17:29 | comment | added | Elena Yudovina | What I actually wanted is "$f$ piecewise linear, but discontinuous, i.e. with jumps between the pieces". (E.g., $f(X)=I[X>0]$.) This particular example gives multiple solutions from $X(0) = 0$ if I only require $X'(t) = f(X)$ whenever the two-sided derivative exists, but forcing the right derivative to be $f(X)$ everywhere squashes them out. | |
Sep 7, 2012 at 17:22 | vote | accept | Elena Yudovina | ||
Sep 7, 2012 at 15:37 | history | edited | Thomas Richard | CC BY-SA 3.0 |
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Sep 7, 2012 at 15:24 | history | edited | Thomas Richard | CC BY-SA 3.0 |
added 36 characters in body; added 151 characters in body
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Sep 7, 2012 at 15:18 | history | answered | Thomas Richard | CC BY-SA 3.0 |