Timeline for Frobenius Condition for a specific first order pde
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
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| Nov 30, 2014 at 21:39 | comment | added | Deane Yang | An example where Frobenius does not hold is: $$\phi_1 = x + z \text{ and }\phi_2 = y + z^2$$ | |
| Nov 30, 2014 at 21:26 | comment | added | Ali | My bad. Of course the constant solution is not interesring. Thanks | |
| Nov 30, 2014 at 21:09 | comment | added | Deane Yang | Yes, in the sense that the constant function always satisfies those two equations. As Thomas Richard said, a nonconstant solution exists only if the Frobenius condision holds. This is not necessarily so. | |
| Nov 30, 2014 at 21:08 | comment | added | Ali | Oh I guess such a u might not exist in the singular cases | |
| Nov 30, 2014 at 21:02 | comment | added | Ali | I see. That means in dimension 3, such a u always exists locally though right? | |
| Nov 30, 2014 at 21:00 | history | edited | Deane Yang | CC BY-SA 3.0 |
added 406 characters in body
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| Nov 30, 2014 at 20:50 | history | answered | Deane Yang | CC BY-SA 3.0 |