Timeline for ODE continuous dependence on parameters to PDE
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| Oct 24, 2015 at 7:14 | comment | added | Hans | @timur: Could you give some references for the continuous and particularly smoothness and even analyticity (possessing power series expansion) of the parabolic PDE solution on the PDE parameters? | |
| Aug 14, 2012 at 20:41 | comment | added | timur | @Bloop: For local existence theory, Banach's fixed point theorem is mostly used. It can be tricky to see if the equation is amenable to such methods though. Sometimes you need a clever variable transformation. Sometimes you have to modify the equation so you can use this theorem, and then approximate the original equation by such easier equations. In some rare cases people also use the Nash-Moser iteration. | |
| Aug 14, 2012 at 18:23 | comment | added | Bloop | Out of curiosity, which fixed-point theorem do you/people tend to use most often in nonlinear PDEs? | |
| Aug 14, 2012 at 18:22 | vote | accept | Bloop | ||
| Aug 13, 2012 at 14:43 | history | answered | timur | CC BY-SA 3.0 |