Timeline for Strong solution to parabolic equation without differentiability assumption on coefficient?
Current License: CC BY-SA 3.0
4 events
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Feb 23, 2015 at 15:40 | comment | added | Michael Renardy | There is a rather extensive literature on parabolic equations with nonsmooth coefficients. The work of Ladyzhenskaya and Uraltseva is a good place to start searching. | |
Feb 23, 2015 at 15:28 | comment | added | C_Al | @Hachino Definitely more smooth than that, let's say $u_0 \in H^1(\Omega)$. | |
Feb 23, 2015 at 15:26 | comment | added | Hachino | What conditions do you put on your initial data ? If you allow Dirac measures, your conclusion does not hold. | |
Feb 23, 2015 at 13:39 | history | asked | C_Al | CC BY-SA 3.0 |