Question

Product of test function and function in first order Sobolev space is also in first order Sobolev space

score 289 · Answer 1 · 2026-04-11 18:48:13

289

Views

Product of test function and function in first order Sobolev space is also in first order Sobolev space

Published on 11 Apr 2026 - 18:48

score 40 · Answer 2 · 2026-04-11 20:17:11

40

Views

A evolutionary triple relating to Sobolev space

Published on 11 Apr 2026 - 20:17

score 69 · Answer 3 · 2026-04-14 16:28:50

69

Views

Laplacian in a perforated domain with non-homogenous boundary conditions. Link with the existence of a suited extension function.

Published on 14 Apr 2026 - 16:28

score 404 · Answer 4 · 2026-05-05 13:39:51

404

Views

Is a bounded function in $H^1(\Omega)$ also continuous for a Lipschitz domain $\Omega \subset \mathbb R^2$?

Published on 05 May 2026 - 13:39

score 1.3k · Answer 5 · 2026-04-14 03:02:58

1.3k

Views

Sobolev space with negative index

Published on 14 Apr 2026 - 3:02

score 94 · Answer 6 · 2026-04-17 10:41:57

94

Views

Weak convergence in Sobolev space $W_0^{1, 2}(\Omega):$ how it works?

Published on 17 Apr 2026 - 10:41

score 42 · Answer 7 · 2026-04-16 05:18:29

42

Views

partition of unity and $W^{2,2}_{\mathrm{loc}}$

Published on 16 Apr 2026 - 5:18

score 165 · Answer 8 · 2026-04-13 11:56:55

165

Views

Characterization of $H^{1/2}(\partial \Omega)$ norm?

Published on 13 Apr 2026 - 11:56

score 37 · Answer 9 · 2026-04-10 18:14:46

37

Views

A Sobolev embedding question

Published on 10 Apr 2026 - 18:14

score 295 · Answer 10 · 2026-04-16 07:55:12

295

Views

Regularity of distributions with $L^2$ curl or divergence

Published on 16 Apr 2026 - 7:55

score 174 · Answer 11 · 2026-04-11 21:59:44

174

Views

higher weak derivatives of the hat function

Published on 11 Apr 2026 - 21:59

score 78 · Answer 12 · 2026-04-14 20:25:05

78

Views

Convert from cartesian to polar or spherical coordinates in order to show functions belong to $L^p$ space or Sobolev space

Published on 14 Apr 2026 - 20:25

score 41 · Answer 13 · 2026-04-10 06:01:43

41

Views

Dual of $\{\nabla h, \ h \in W^{1,s}(\Omega)\}$ in $(L^s(\Omega))^3$.

Published on 10 Apr 2026 - 6:01

score 73 · Answer 14 · 2026-04-13 18:21:50

73

Views

Weak derivative of $|x|$ not in $W^{1,p}(-1, 1)$, another possible solution

Published on 13 Apr 2026 - 18:21

score 43 · Answer 15 · 2026-04-10 18:03:58

43

Views

Bounded operator on a product of several spaces

Published on 10 Apr 2026 - 18:03

List Question

Product of test function and function in first order Sobolev space is also in first order Sobolev space

A evolutionary triple relating to Sobolev space

Laplacian in a perforated domain with non-homogenous boundary conditions. Link with the existence of a suited extension function.

Is a bounded function in $H^1(\Omega)$ also continuous for a Lipschitz domain $\Omega \subset \mathbb R^2$?

Sobolev space with negative index

Weak convergence in Sobolev space $W_0^{1, 2}(\Omega):$ how it works?

partition of unity and $W^{2,2}_{\mathrm{loc}}$

Characterization of $H^{1/2}(\partial \Omega)$ norm?

A Sobolev embedding question

Regularity of distributions with $L^2$ curl or divergence

higher weak derivatives of the hat function

Convert from cartesian to polar or spherical coordinates in order to show functions belong to $L^p$ space or Sobolev space

Dual of $\{\nabla h, \ h \in W^{1,s}(\Omega)\}$ in $(L^s(\Omega))^3$.

Weak derivative of $|x|$ not in $W^{1,p}(-1, 1)$, another possible solution

Bounded operator on a product of several spaces

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