bio | website | |
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location | ||
age | 28 | |
visits | member for | 1 year, 11 months |
seen | Mar 20 at 22:01 | |
stats | profile views | 162 |
Mar 18 |
comment |
Schauder estimate on a bounded domain
Mmm, I don't see how that can be true. Take $u$ the solution to $$ \Delta u=0 \text{ in }U $$ and $$ u=g(x,y) \text{ on }\partial U $$. Here $g$ is a smooth function. Then the right hand side vanishes, but the function $u$ is not necessarily constant. |
Oct 13 |
accepted | Relationship between LlogL and Hardy spaces |
Oct 13 |
revised |
Relationship between LlogL and Hardy spaces
edited tags |
Oct 13 |
asked | Relationship between LlogL and Hardy spaces |
Sep 1 |
comment |
Interpolation between L^1 and Sobolev Space
It is a very interesting question. Maybe a good start point is Lemma 5.3 in arxiv.org/pdf/1104.0306.pdf and Lemma 6.6 in arxiv.org/pdf/0812.4979v1.pdf I would also suggest to think on homogeneous Sobolev spaces, the embeding operator and the Riesz-Thorin Theorem. |
Jun 5 |
accepted | A bound in Sobolev spaces of negative order |
Jun 3 |
revised |
A bound in Sobolev spaces of negative order
edited title |
Jun 3 |
asked | A bound in Sobolev spaces of negative order |
Apr 15 |
awarded | Yearling |
Apr 2 |
comment |
Nonlocal (parabolic) PDEs in the Sobolev space setting
You are welcome :-) |
Mar 27 |
answered | Nonlocal (parabolic) PDEs in the Sobolev space setting |
Mar 6 |
comment |
Integrability of the Poisson integral
Is your $f=P_y*g$ for some $g$? Maybe the result is not true for every $p$. Is the result true for $p=2$, i.e., given $g\in H^1(\mathbb{R})$, is $P_y*g\in L^2(\mathbb{R}\times\mathbb{R}^+)$? |
Mar 2 |
revised |
Integrability of the Poisson integral
edited body |
Mar 2 |
asked | Integrability of the Poisson integral |
Feb 26 |
accepted | L logL space and compactness |
Feb 26 |
comment |
L logL space and compactness
Ok, thank you. Can you give me a reference? |
Feb 26 |
asked | L logL space and compactness |
Jan 19 |
awarded | Commentator |
Jan 19 |
comment |
If $f \in H^{\frac 12}$ and $\varphi$ is Lipschitz, is $f\varphi \in H^{\frac 12}$ (on a Lipschitz hypersurface)?
You can get $$ \|fg\|_{H^{1/2}}\leq \|f\|_{C^1}\|g\|_{H^1} $$ by using interpolation of operators. You can see the paper by Gou & Tice, Analysis and pde, vol 6, n.2m 2013. |
Jan 17 |
answered | References for well-posedness of weak solutions to Stefan problem |