Timeline for Extension of solutions of PDEs with constant coefficients
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 9, 2015 at 22:40 | vote | accept | BigM | ||
| Dec 8, 2014 at 12:02 | answer | added | Bazin | timeline score: 5 | |
| Dec 8, 2014 at 9:25 | comment | added | Liviu Nicolaescu | If $f$ admits an extension to an entire function, then $f$ must be real analytic. Requiring $\mathcal{L}$ to be elliptic will guarantee real analyticity. However you need to phrase your question more carefully. Should we expect all functions in $\ker \mathcal{L}$ to extend or only some of them? | |
| Dec 8, 2014 at 5:32 | comment | added | Alexandre Eremenko | Solutions of Laplace equation extend to entire functions in $C^n$. | |
| Dec 8, 2014 at 5:04 | comment | added | Alexandre Eremenko | Laplace operator is an example of an operator for which the answer is "yes". | |
| Dec 8, 2014 at 5:02 | comment | added | Alexandre Eremenko | Is not "entire" the part of your question? Can you decide what are you asking? | |
| Dec 8, 2014 at 4:57 | comment | added | BigM | For the main question should we expect solutions to be automatically entire ?or that is too good to be true? | |
| Dec 8, 2014 at 2:18 | history | asked | BigM | CC BY-SA 3.0 |