Timeline for Maximum principle geometric interpretation
Current License: CC BY-SA 4.0
9 events
| when toggle format | what | by | license | comment | |
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| Oct 30, 2022 at 2:04 | history | edited | Willie Wong | CC BY-SA 4.0 |
edited title
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| Oct 29, 2022 at 20:49 | comment | added | Willie Wong | For general stuff about the maximum principle, the book "The Maximum Principle" by Serrin and Pucci is a standard reference. But probably the notion you are looking for is that of the viscosity sub/supersolution. There are lots of resources you can find about it if you just do a search. | |
| Oct 29, 2022 at 15:35 | history | edited | YCor | CC BY-SA 4.0 |
changed abbreviation to capitals
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| Oct 29, 2022 at 14:58 | history | edited | User1723 | CC BY-SA 4.0 |
deleted 323 characters in body
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| Oct 29, 2022 at 14:53 | comment | added | Willie Wong | You also have to be more careful in your second question: as stated it is not true. On the interval $[-1,1]$, both $x^4$ and $x^2$ satisfy $y'' \geq 0$ so are both subsolutions, but they touch tangentially at 0. The comparison principles requires comparing the source terms too. | |
| Oct 29, 2022 at 14:52 | comment | added | User1723 | Yes sure. Editing this. Thank you Professor. | |
| Oct 29, 2022 at 14:47 | comment | added | Willie Wong | The two questions should be asked separately, since your question one is about hyperbolic PDEs and your second one is about elliptic PDEs. | |
| Oct 29, 2022 at 14:01 | history | edited | Daniele Tampieri | CC BY-SA 4.0 |
Minor grammar improvement.
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| Oct 29, 2022 at 10:54 | history | asked | User1723 | CC BY-SA 4.0 |