Timeline for Way to memorize relations between the Sobolev spaces?
Current License: CC BY-SA 2.5
4 events
| when toggle format | what | by | license | comment | |
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| Mar 12, 2010 at 12:30 | comment | added | Willie Wong | It is more used I think in PDEs because it gives one a good guess whether certain bi/tri/quadrilinear estimates can "possibly be true". I've also seen the method called "dimensional analysis". | |
| Mar 11, 2010 at 15:00 | comment | added | Deane Yang | Comparing the behavior of the different Sobolev norms for a compactly supported family of functions converging to a Dirac delta function is indeed the simplest way to figure out these inclusions. In general, understanding how things behave under rescalings is extremely useful but, as far as I know, rarely mentioned in print. It seems that you have to learn about it by word of mouth or stumble onto it yourself. Physicists and chemists also use this often and call it "unit analysis". | |
| Mar 10, 2010 at 21:27 | comment | added | Mariano Suárez-Álvarez | Your PhD advisor sounds like a smart guy! | |
| Mar 10, 2010 at 19:49 | history | answered | Willie Wong | CC BY-SA 2.5 |