879 reputation
419
bio website
location
age
visits member for 2 years, 7 months
seen Jul 29 '13 at 20:56

Jul
2
awarded  Curious
Jun
11
awarded  Popular Question
Apr
9
awarded  Popular Question
Feb
6
awarded  Popular Question
Nov
30
awarded  Yearling
Nov
15
awarded  Popular Question
May
20
accepted What is the Sobolev Lemma?
May
19
comment What is the Sobolev Lemma?
Thank you! So how does this imply my result exactly. I know that with $m=1$, $\nabla u$ is continuous and therefore bounded in the compact set $\bar{\Omega}$. What norm do you define on $C^m(\bar{\Omega})$? Something like $||u|| = \max_{x \in \bar{\Omega}}{|u|} + \max_{x \in \bar{\Omega}}{|\nabla u|}$
May
17
comment What is the Sobolev Lemma?
Yes, I guess so
May
17
comment What is the Sobolev Lemma?
$s$ is how many derivatives you are considering. I don't know how you do this...
May
17
comment What is the Sobolev Lemma?
Well, not really I just realized that this result if for the whole of $\mathbb{R}^N$.
May
17
comment What is the Sobolev Lemma?
I think I might have found the relevant theorem after all. It's Corollary 9.13 in Brezis's book FA, SS and PDEs (page 284). It's strange that I could not find it in Adams being that its a more thorough account of Sobolev's Spaces.
May
17
comment What is the Sobolev Lemma?
Should be in $W^{1,\infty}$ I suppose.
May
17
asked What is the Sobolev Lemma?
May
16
answered Find vectors vertical to given vectors with certain length
May
13
comment asymptotic behavior of the solution to an ODE
Cheers, that is very useful. On second thought I think I need a uniform estimate and your calculation seems to be very useful.
May
13
accepted asymptotic behavior of the solution to an ODE
May
12
comment asymptotic behavior of the solution to an ODE
Both, if possible.
May
12
comment asymptotic behavior of the solution to an ODE
sorry, that is actually an important piece of info. Both $d_1$ and $d_2$ are positive. Its $y(t)$, not $y'(t)$.
May
9
asked asymptotic behavior of the solution to an ODE