Timeline for A property of weakly harmonic functions

10 events

when toggle format	what		by	license	comment
Jun 9, 2012 at 2:45	vote	accept	Ttwang
Jun 9, 2012 at 2:44	comment	added	Ttwang		Thank you very much! It is very helpful to me! Thanks again.
Jun 9, 2012 at 1:50	history	edited	timur	CC BY-SA 3.0	added 35 characters in body; added 91 characters in body
Jun 9, 2012 at 1:42	comment	added	timur		@Ttwang: I amended the second approach.
Jun 9, 2012 at 1:42	history	edited	timur	CC BY-SA 3.0	added 507 characters in body
Jun 8, 2012 at 14:52	comment	added	timur		@Ttwang: That statement is proved in essentially any book that has a bit of the general linear PDE theory in it. For instance: Folland's Intro to PDE, Treves' Basic linear PDE, Rauch's PDE.
Jun 8, 2012 at 3:25	comment	added	Ttwang		Which book can I find the theory for the conclusion that "u is a tempered distribution and is weakly harmonic implies that u is a polynomial"? Thank you!
Jun 8, 2012 at 3:11	comment	added	Ttwang		Thanks very much for your time and consideration. For the first solution, I need to check some materials because I am unfamiliar with the tempered distribution; For the second, $u\in L^{p}(\mathbb{R}^{n})$ implies $u$ is finite a.e. but unbounded, so we can not use the Liouville's theorem. I expect to have a further discussion with you.
Jun 7, 2012 at 13:12	history	edited	timur	CC BY-SA 3.0	added 80 characters in body
Jun 7, 2012 at 12:59	history	answered	timur	CC BY-SA 3.0