List questions from sobolev-spaces

Published on 14 Apr 2026 - 14:55

60

Views

Trouble proving that an expression is a norm in $H^2(\mathbb{R}^N)$

Published on 13 Apr 2026 - 10:29

52

Views

Regularity of BCs VS regularity of solutions

Published on 13 Apr 2026 - 10:50

211

Views

Embedding of $W^{1,\infty}$ in $C^{0,1}$

Published on 15 Apr 2026 - 22:08

94

Views

Proving finite essential supremum of $L^\infty \cap H^1$ traces

Published on 14 Apr 2026 - 23:40

56

Views

Compact imersion of sobolev $W^{1,2}(\Omega)$, where $\Omega$ has finite measure

Published on 12 Apr 2026 - 23:54

122

Views

Bound of Fourier transform - Negative Sobolev Space

Published on 11 Apr 2026 - 8:46

47

Views

The space $H^{1}\left(\Omega\right)^{d}$ and it's norm for $d\in\mathbb N$

Published on 15 Apr 2026 - 21:06

546

Views

Calderón-Zygmund estimate for $\Omega=\mathbb{R}^N$

Published on 25 Mar 2026 - 16:44

31

Views

Assume $u\in W^{k,p}(\Omega)$, does $u^q\in W^{k,p}(\Omega)$ for $q>0$?

Published on 15 Apr 2026 - 16:24

17

Views

Estiamate $\sum_{z\in \epsilon\mathbb Z^d \cap \Omega}\Big(f(z)\big(\eta((x-z)/\epsilon)-\eta((y-z)/\epsilon)\big)\Big)^2$ with Holder norm

Published on 25 Apr 2026 - 7:52

39

Views

For which $u$ is there a classical solution to $\Delta u = f$ with $f\in H^m(\Omega)$?

Published on 11 Apr 2026 - 4:37

55

Views

Product of Sobolev spaces

Published on 14 Apr 2026 - 19:25

126

Views

Is every curl-free $L^1$ vector field locally a gradient, in the weak sense?

Published on 14 Apr 2026 - 0:29

91

Views

Subset ( space ) of the Sobolev space w. r. t. different norms

Published on 14 Apr 2026 - 19:04

List Question

What's the dimension of the span of fixed-frequency plane waves in $H^1$ of a domain?

Trouble proving that an expression is a norm in $H^2(\mathbb{R}^N)$

Regularity of BCs VS regularity of solutions

Embedding of $W^{1,\infty}$ in $C^{0,1}$

Proving finite essential supremum of $L^\infty \cap H^1$ traces

Compact imersion of sobolev $W^{1,2}(\Omega)$, where $\Omega$ has finite measure

Bound of Fourier transform - Negative Sobolev Space

The space $H^{1}\left(\Omega\right)^{d}$ and it's norm for $d\in\mathbb N$

Calderón-Zygmund estimate for $\Omega=\mathbb{R}^N$

Assume $u\in W^{k,p}(\Omega)$, does $u^q\in W^{k,p}(\Omega)$ for $q>0$?

Estiamate $\sum_{z\in \epsilon\mathbb Z^d \cap \Omega}\Big(f(z)\big(\eta((x-z)/\epsilon)-\eta((y-z)/\epsilon)\big)\Big)^2$ with Holder norm

For which $u$ is there a classical solution to $\Delta u = f$ with $f\in H^m(\Omega)$?

Product of Sobolev spaces

Is every curl-free $L^1$ vector field locally a gradient, in the weak sense?

Subset ( space ) of the Sobolev space w. r. t. different norms

Trending Questions

Popular # Hahtags

Popular Questions