Timeline for System of linear pde with non constant coefficients
Current License: CC BY-SA 4.0
9 events
| when toggle format | what | by | license | comment | |
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| Dec 21, 2019 at 22:43 | history | edited | Igor Khavkine | CC BY-SA 4.0 |
Corrected and updated citation.
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| Nov 30, 2019 at 6:32 | comment | added | Deane Yang | @IgorKhavkine, you certainly shouldn | |
| Nov 29, 2019 at 21:03 | vote | accept | reduced team | ||
| Nov 29, 2019 at 20:07 | comment | added | Igor Khavkine | @DeaneYang Thanks! And sorry, I didn't mean to rain on anyone's parade. :-) BTW, do you happen to recognize this trick of composing an equation with a differential operator to get another equation with ostensibly better analytical properties? The only systematic application of it that I've seen is for the Dirac equation (the Dirac operator is composed with itself to get the Laplacian or the d'Alembertian, depending on the signature). But it seems such a natural thing to do that it has probably found applications in less obvious places. | |
| Nov 29, 2019 at 20:00 | history | edited | Igor Khavkine | CC BY-SA 4.0 |
added 2 characters in body
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| Nov 29, 2019 at 18:57 | vote | accept | reduced team | ||
| Nov 29, 2019 at 18:57 | |||||
| Nov 29, 2019 at 17:20 | comment | added | Deane Yang | Many thanks for posting this. I had never thought this through carefully enough. Once we had figured out the invariance of the system under changes of individual coordinates $x = a(x'), y = b(y'), z = c(z')$, I had always assumed that this implied that the initial value problem had to be ill-posed. But your answer shows that I'm wrong. I also confirmed that my original reasoning was faulty. | |
| Nov 29, 2019 at 16:45 | comment | added | reduced team | First of all thank you very much for such a precise answer. I'm really grateful for your help and time. I will read carefully the refeferences that you suggest. | |
| Nov 29, 2019 at 11:32 | history | answered | Igor Khavkine | CC BY-SA 4.0 |