Timeline for What fails when we try to extend existence and unique for parabolic PDEs for 'PDEs which are 'parabolic in two components''?
Current License: CC BY-SA 3.0
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| when toggle format | what | by | license | comment | |
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| Jan 21, 2014 at 19:01 | vote | accept | lost1 | ||
| Jan 13, 2014 at 9:25 | history | edited | lost1 | CC BY-SA 3.0 |
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| Jan 13, 2014 at 9:24 | comment | added | lost1 | @AthanagorWurlitzer i mean laplacian... Oh dear | |
| Jan 13, 2014 at 9:20 | comment | added | username | The equation you wrote, $$ \nabla u + \partial_{t_1} u +\partial_{t_2} u =f $$ is not parabolic, but hyperbolic, in $\tau$ as in Bazin's answer above. So it is simply a linear transport equation, with a parameter $\sigma$ (using again Bazin's notations). Or it is just a typo, and you meant $\Delta u + \partial_{t_1} u +\partial_{t_2} u =f$ ? | |
| Jan 12, 2014 at 20:45 | answer | added | Bazin | timeline score: 2 | |
| Jan 12, 2014 at 19:29 | history | asked | lost1 | CC BY-SA 3.0 |