Timeline for Extension of solutions of PDE
Current License: CC BY-SA 3.0
18 events
| when toggle format | what | by | license | comment | |
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| Oct 11, 2013 at 19:27 | comment | added | Robert M. | or does anybody have an idea? | |
| Oct 11, 2013 at 13:28 | comment | added | Robert M. | I have made the changes in my question. Do you have any idea ? | |
| Oct 11, 2013 at 12:01 | history | edited | Robert M. | CC BY-SA 3.0 |
added 149 characters in body
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| Oct 11, 2013 at 11:12 | comment | added | Robert M. | I actually do not mean analyticity at $\{0\}$. What I actually wanted to say is that $F$ does exists in the point $0$. I mean for $x=0,y=0$. Now I just want to know if the solution exists in a neighbourhood of $0$? | |
| Oct 11, 2013 at 10:44 | comment | added | Willie Wong | BTW, instead of responding to my comments piecemeal, what you should be doing is to edit all this clarifications into your original question. I've done so for a large number of your comments. But please do it yourself from now on. | |
| Oct 11, 2013 at 10:43 | comment | added | Willie Wong | Okay, if $F$ is not defined along the $y$ axis, what do you mean by "extend a solution"? Do you actually mean "extend the solution to a real analytic function on a full neighborhood of the origin"? | |
| Oct 11, 2013 at 10:41 | history | edited | Willie Wong | CC BY-SA 3.0 |
added 132 characters in body
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| Oct 11, 2013 at 10:35 | comment | added | Willie Wong | How do you interpret real analyticity at $\{0\}$? This point is not in the interior of $D$. | |
| Oct 11, 2013 at 10:30 | comment | added | Robert M. | ok i see. So $D$ has the form: $D=(A \cup \{ 0\}) \times \mathbb{R}^{5} \subset \mathbb{R}^{7}$. Thus $F:D\rightarrow \mathbb{R}$ is also real-analytic. | |
| Oct 11, 2013 at 10:12 | comment | added | Robert M. | well I meant that $F$ is defined on the whole real axis, i.e. the $x$-axis. Can one then extend it to the $y$-axis? | |
| Oct 11, 2013 at 8:53 | comment | added | Robert M. | but i do not know if the equation makes sense everywhere. does it make sense ? | |
| Oct 11, 2013 at 8:20 | comment | added | Robert M. | so my question is: is it possible to extend it somehow to the y-axis? | |
| Oct 11, 2013 at 8:19 | comment | added | Robert M. | to the first question: yes I am assuming that I remove the $y-$Axis. second question: Well $F$ is real analytic, but if one restricts all the data to the point $0$, then $F$ does exists there. | |
| Oct 11, 2013 at 7:47 | history | edited | Francesco Polizzi | CC BY-SA 3.0 |
Misprint corrected in title. Greetings and signature at the end removed
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| Oct 11, 2013 at 7:46 | history | edited | Ryan Budney | CC BY-SA 3.0 |
edited title
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| Oct 11, 2013 at 7:43 | history | edited | Willie Wong |
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| Oct 11, 2013 at 7:02 | review | First posts | |||
| Oct 11, 2013 at 7:21 | |||||
| Oct 11, 2013 at 6:45 | history | asked | Robert M. | CC BY-SA 3.0 |