Timeline for Boundary conditions of wave equation near infinity
Current License: CC BY-SA 2.5
8 events
| when toggle format | what | by | license | comment | |
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| Jul 26, 2010 at 12:29 | comment | added | Piero D'Ancona | @Willie: my feeling is that the requirement N odd is just a technical one. Having the strong Huygens principles available makes for easier equations to solve when constructing the expansion, but I guess it should not be essential for the result to hold. | |
| Jul 25, 2010 at 15:21 | comment | added | Nicholas Kinar | @Willie: I agree that the restriction to odd dimensions is indeed interesting. Thanks for pointing this out. | |
| Jul 25, 2010 at 11:19 | comment | added | Willie Wong | @Piero: interesting paper. I haven't looked at it too closely, but I assume the restriction to odd dimensions is related to the strong Huygen's principle? The fact that the data has support restricted to the wave-zone and the construction of the approximate solutions seems to me to be a sort of geometric optics technique. It is quite interesting and different from my usual mode of thinking. | |
| Jul 24, 2010 at 21:54 | comment | added | Piero D'Ancona | I think the hyperbolic version of the Kelvin transform was introduced by K.Morawetz, so this is old, but not as old as Lord Kelvin himself. A starting point could be the paper jstor.org/pss/2154859 where it is put to good use for problems of global existence of nonlinear wave equations. | |
| Jul 24, 2010 at 19:35 | comment | added | Nicholas Kinar | Sure, number (2) is exactly what I am looking for; so thank you! Could you clarify what is meant by "infinity" as per Willie's comment above? Could you suggest a reference (book/paper/monograph) dealing with application of Kelvin transforms? | |
| Jul 24, 2010 at 19:31 | vote | accept | Nicholas Kinar | ||
| Jul 24, 2010 at 19:23 | history | edited | Piero D'Ancona | CC BY-SA 2.5 |
added 248 characters in body
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| Jul 24, 2010 at 19:15 | history | answered | Piero D'Ancona | CC BY-SA 2.5 |