Timeline for Classification of a system of two second order PDEs with two dependent and two independent variables
Current License: CC BY-SA 4.0
14 events
| when toggle format | what | by | license | comment | |
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| Jul 9, 2018 at 10:36 | vote | accept | SpaceChild | ||
| Jul 9, 2018 at 8:57 | comment | added | Igor Khavkine | For the hyperbolicity condition, your definition is basically the second order version of "strictly hyperbolic". For the ellipticity condition, see my updated answer. | |
| Jul 8, 2018 at 18:54 | history | edited | SpaceChild | CC BY-SA 4.0 |
added 1422 characters in body
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| Jul 8, 2018 at 12:12 | vote | accept | SpaceChild | ||
| Jul 8, 2018 at 18:54 | |||||
| Jul 7, 2018 at 14:54 | review | Close votes | |||
| Jul 9, 2018 at 9:11 | |||||
| Jul 7, 2018 at 14:52 | comment | added | Ben McKay | @AlexM.The OP did not ask about ellipticity specifically, but about the analogue determinants that one might compute. | |
| Jul 7, 2018 at 14:34 | comment | added | Alex M. | @BenMcKay: It seems to me that the OP's differential operator (of order $2$) acts on sections in a vector bundle of rank $2$, in which case ellipticity has a well-known definition. I do not know about hyperbolicity and parabolicity, but there is a nice answer on MSE. | |
| Jul 7, 2018 at 13:06 | answer | added | Igor Khavkine | timeline score: 4 | |
| Jul 7, 2018 at 9:31 | comment | added | SpaceChild | @BenMcKay Can you please provide more details? | |
| Jul 7, 2018 at 9:21 | comment | added | Ben McKay | You are looking for the theory of the symbol of a system of partial differential equations. It is more complicated than what you have written. | |
| Jul 7, 2018 at 9:02 | review | Close votes | |||
| Jul 7, 2018 at 14:38 | |||||
| Jul 7, 2018 at 8:13 | history | edited | Martin Sleziak |
added top-level tag; https://meta.mathoverflow.net/questions/1457/why-are-mo-tags-formatted-as-they-are
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| Jul 7, 2018 at 8:12 | review | First posts | |||
| Jul 7, 2018 at 8:46 | |||||
| Jul 7, 2018 at 8:11 | history | asked | SpaceChild | CC BY-SA 4.0 |