Question

How to understand sentence about Sobolev space of functions on compact interval?

score 256 · Answer 1 · 2026-04-08 18:34:35

256

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How to understand sentence about Sobolev space of functions on compact interval?

Published on 08 Apr 2026 - 18:34

score 200 · Answer 2 · 2026-04-13 11:38:17

200

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Approximation of $H^1_0$-function from below

Published on 13 Apr 2026 - 11:38

score 73 · Answer 3 · 2026-04-09 08:39:12

73

Views

$C^\infty$ extension operator

Published on 09 Apr 2026 - 8:39

score 63 · Answer 4 · 2026-04-15 18:35:59

63

Views

Non-standard form of Sobolev's embedding: Does $\Vert f\Vert_{L^2}^2\leq C \Vert f\Vert_{L^\infty}\Vert f\Vert_{H^1}$ hold??

Published on 15 Apr 2026 - 18:35

score 273 · Answer 5 · 2026-04-13 22:51:11

273

Views

Show that $\int_{\mathbb{R}^3}\nabla u\cdot\nabla a\, dx=-\int_{\mathbb{R}^3}u\Delta a\, dx$.

Published on 13 Apr 2026 - 22:51

score 58 · Answer 6 · 2026-04-15 06:04:20

58

Views

On the trace of Sobolev function

Published on 15 Apr 2026 - 6:04

score 128 · Answer 7 · 2026-04-14 03:01:58

128

Views

Non-uniqueness of the characterization of $H^{-1}$ (Brezis Prop. 8.14)

Published on 14 Apr 2026 - 3:01

score 59 · Answer 8 · 2026-04-10 08:11:52

59

Views

Is every function from $W^{1,1}([0,1])$ continuous?

Published on 10 Apr 2026 - 8:11

score 24 · Answer 9 · 2026-04-16 06:00:46

24

Views

Search for estimates

Published on 16 Apr 2026 - 6:00

score 102 · Answer 10 · 2026-04-14 12:36:38

102

Views

curl identity on $\mathcal{D}'\left(\mathbb{R}^2\right)$ for $v\in H^1\left(\mathbb{R}^2\right)^2$

Published on 14 Apr 2026 - 12:36

score 149 · Answer 11 · 2026-04-14 14:10:00

149

Views

Zero weak gradient implies almost everywhere constant

Published on 14 Apr 2026 - 14:10

score 98 · Answer 12 · 2026-04-11 22:08:28

98

Views

A question about Sobolev space and the relationship between the weak convergence on it and the strong convergence on L^p space.

Published on 11 Apr 2026 - 22:08

score 422 · Answer 13 · 2026-04-14 01:33:57

422

Views

Proving the composition of a function with an $H^1$ function is in $H^1$.

Published on 14 Apr 2026 - 1:33

score 107 · Answer 14 · 2026-04-17 00:45:02

107

Views

Sobolev inequalities for $W^{1,s}(Q)$ and $W^{2,s}(Q)$

Published on 17 Apr 2026 - 0:45

score 42 · Answer 15 · 2026-04-14 00:38:56

42

Views

Weak convergence of some sequences of function $u_{n,m}$ in $H^1$

Published on 14 Apr 2026 - 0:38

List Question

How to understand sentence about Sobolev space of functions on compact interval?

Approximation of $H^1_0$-function from below

$C^\infty$ extension operator

Non-standard form of Sobolev's embedding: Does $\Vert f\Vert_{L^2}^2\leq C \Vert f\Vert_{L^\infty}\Vert f\Vert_{H^1}$ hold??

Show that $\int_{\mathbb{R}^3}\nabla u\cdot\nabla a\, dx=-\int_{\mathbb{R}^3}u\Delta a\, dx$.

On the trace of Sobolev function

Non-uniqueness of the characterization of $H^{-1}$ (Brezis Prop. 8.14)

Is every function from $W^{1,1}([0,1])$ continuous?

Search for estimates

curl identity on $\mathcal{D}'\left(\mathbb{R}^2\right)$ for $v\in H^1\left(\mathbb{R}^2\right)^2$

Zero weak gradient implies almost everywhere constant

A question about Sobolev space and the relationship between the weak convergence on it and the strong convergence on L^p space.

Proving the composition of a function with an $H^1$ function is in $H^1$.

Sobolev inequalities for $W^{1,s}(Q)$ and $W^{2,s}(Q)$

Weak convergence of some sequences of function $u_{n,m}$ in $H^1$

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