Timeline for LINEAR Parabolic equations. Smooth dependence from initial data
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
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| Jul 22, 2013 at 16:52 | history | edited | user9072 |
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| May 10, 2013 at 10:29 | answer | added | JCM | timeline score: 1 | |
| Jul 19, 2012 at 16:36 | comment | added | timur | Yes, then you move the term $(L_p)'u_p$ to the right hand side and treat is as a source term. | |
| Jul 19, 2012 at 16:04 | comment | added | CuriousUser | Can you expand a little bit on that? In particular: when you differentiate wrt $p$, how does the term $(L_pu_p)'$ behave? It feels like it becomes $(L_p)'u_p+ L_p(u_p')$ (here by "u'" i mean differentiation wrt $P$ of course). But then i don't see how the resulting equation is still parabolic... | |
| Jul 19, 2012 at 13:29 | comment | added | timur | You differentiate (wrt $p$) the equation and derive an equation for the $p$-derivatives of $u$. This will be a parabolic equation so you are fine. | |
| Jul 19, 2012 at 11:16 | history | asked | CuriousUser | CC BY-SA 3.0 |