Timeline for Short time existence for fully nonlinear parabolic equations
Current License: CC BY-SA 4.0
9 events
| when toggle format | what | by | license | comment | |
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| Mar 15, 2022 at 16:12 | comment | added | Quarto Bendir | Possibly Lieberman's book "Second order parabolic differential equations" is where you want to look | |
| Mar 15, 2022 at 16:04 | comment | added | Quarto Bendir | Also see Huisken and Polden's article "Geometric evolution equations for hypersurfaces" for a careful treatment of quasilinear evolution equations of arbitrary order on a manifold | |
| Mar 15, 2022 at 16:02 | comment | added | Quarto Bendir | Whenever you have any kind of estimates for the problem as linearized around an open set of functions, it should be automatically possible to appeal to Hamilton's Nash-Moser theorem. And then the nonlinear estimates automatically follow. But this must be an overcomplication for the specific problem you are asking | |
| Mar 15, 2022 at 7:06 | comment | added | Denis Serre | I think that you should assume that $F$ is an increasing function of $A$. Concavity might be important, but monotonicity is of course much more. Think to the linear case ! | |
| Mar 14, 2022 at 20:08 | answer | added | Piero D'Ancona | timeline score: 3 | |
| Mar 14, 2022 at 19:54 | history | edited | sandmanjj | CC BY-SA 4.0 |
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| Mar 14, 2022 at 19:42 | history | edited | sandmanjj |
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| S Mar 14, 2022 at 19:15 | review | First questions | |||
| Mar 14, 2022 at 19:55 | |||||
| S Mar 14, 2022 at 19:15 | history | asked | sandmanjj | CC BY-SA 4.0 |