Search Results
| Search type | Search syntax |
|---|---|
| Tags | [tag] |
| Exact | "words here" |
| Author |
user:1234 user:me (yours) |
| Score |
score:3 (3+) score:0 (none) |
| Answers |
answers:3 (3+) answers:0 (none) isaccepted:yes hasaccepted:no inquestion:1234 |
| Views | views:250 |
| Code | code:"if (foo != bar)" |
| Sections |
title:apples body:"apples oranges" |
| URL | url:"*.example.com" |
| Saves | in:saves |
| Status |
closed:yes duplicate:no migrated:no wiki:no |
| Types |
is:question is:answer |
| Exclude |
-[tag] -apples |
| For more details on advanced search visit our help page | |
Results tagged with fa.functional-analysis
Search options not deleted
user 88462
Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.
2
votes
1
answer
262
views
Weak-star approximation of smooth functions in weak $L^p$-space
It is well known that the weak space $L^{p,\infty}$ has less density property contrary to standard $L^p$ space. Related to this one, I'm struggling to prove the following statement which is given in t …
- 323
1
vote
Does $\int_0^t \Vert u_x(s,\cdot) \Vert_{L^2} ds \le C$ imply $\Vert u_x (t,\cdot) \Vert_{L^...
In the case of linear heat equation, we write
$$ u(x,t) = \int_{\mathbb{R}} \Gamma(x-y,t) u_0(y) dy.$$
Here $\Gamma(x,t)$ is the standard heat kernel. Note that
$$ \left|\left(\frac{\partial}{\partial …
- 323
5
votes
1
answer
278
views
de Rham theorem for tempered distributions
I am wondering if the following statement holds.
If $u\in \mathscr{S}'$ satisfies $\left< u,\Phi\right>=0$ for all $\Phi \in \mathscr{S}$ with $\mathrm{div}\, \Phi=0$, then there exists $p\in \mathsc …
- 323
1
vote
Parabolic Sobolev inequality in Sobolev mixed norm spaces
You can find a proof in Corollary 5.3 in Krylov's On parabolic Adams's, the Chiarenza-Frasca theorems, and some other results related to parabolic Morrey spaces (Link)
Here is also a link to the PDF o …
- 323