Question

Is this proof that $u^+\in W^{1,p}(U)$ correct?

score 141 · Answer 1 · 2026-04-16 11:03:35

141

Views

Is this proof that $u^+\in W^{1,p}(U)$ correct?

Published on 16 Apr 2026 - 11:03

score 270 · Answer 2 · 2026-04-16 11:01:52

270

Views

Were there errors in this users proof of $\|u-u_U\|_{L^q(U)}\leq C\|Du\|_{L^p(U)}$

Published on 16 Apr 2026 - 11:01

score 165 · Answer 3 · 2026-04-12 04:00:07

165

Views

Pointwise approximating identity by compact operators

Published on 12 Apr 2026 - 4:00

score 352 · Answer 4 · 2026-04-15 06:03:28

352

Views

Aren't functions in Sobolev spaces defined only upto a set of measure zero?

Published on 15 Apr 2026 - 6:03

score 88 · Answer 5 · 2026-04-14 00:14:04

88

Views

A question on convergence in Sobolev norm Vs convergence at a point of isolated discontinuity

Published on 14 Apr 2026 - 0:14

score 330 · Answer 6 · 2026-04-15 19:02:48

330

Views

Can the Sobolev-space $W^{1, q}(\mathbf{R})$ be embedded in $W^{1, 1}(\mathbf{R})$?

Published on 15 Apr 2026 - 19:02

score 472 · Answer 7 · 2026-04-13 01:03:34

472

Views

Sobolev bound on convolution function

Published on 13 Apr 2026 - 1:03

score 594 · Answer 8 · 2026-04-15 23:52:52

594

Views

Second distributional derivative non negative implies convexity?

Published on 15 Apr 2026 - 23:52

score 1k · Answer 9 · 2026-04-13 17:44:06

1k

Views

Segment condition: Approximation of sobolev functions by functions which are smooth up to the boundary

Published on 13 Apr 2026 - 17:44

score 96 · Answer 10 · 2026-04-13 05:17:47

96

Views

Is there a link between fractional derivatives and sobolev spaces $H^s$ for $s$ fractional?

Published on 13 Apr 2026 - 5:17

score 47 · Answer 11 · 2026-03-29 14:20:00

47

Views

Why are these two sets of functions the same? Involves quasi-everywhere inequalities.

Published on 29 Mar 2026 - 14:20

score 1.2k · Answer 12 · 2026-04-10 04:04:24

1.2k

Views

trace embedding

Published on 10 Apr 2026 - 4:04

score 49 · Answer 13 · 2026-04-12 14:16:05

49

Views

What does : we take $f=(1-\Delta )^Nu$ in the distribution mean?

Published on 12 Apr 2026 - 14:16

score 433 · Answer 14 · 2026-04-12 03:43:58

433

Views

Help understanding Energy estimates for Linear Hyperbolic PDE

Published on 12 Apr 2026 - 3:43

score 359 · Answer 15 · 2026-04-12 06:53:57

359

Views

interpolation method to Sobolev space

Published on 12 Apr 2026 - 6:53

List Question

Is this proof that $u^+\in W^{1,p}(U)$ correct?

Were there errors in this users proof of $\|u-u_U\|_{L^q(U)}\leq C\|Du\|_{L^p(U)}$

Pointwise approximating identity by compact operators

Aren't functions in Sobolev spaces defined only upto a set of measure zero?

A question on convergence in Sobolev norm Vs convergence at a point of isolated discontinuity

Can the Sobolev-space $W^{1, q}(\mathbf{R})$ be embedded in $W^{1, 1}(\mathbf{R})$?

Sobolev bound on convolution function

Second distributional derivative non negative implies convexity?

Segment condition: Approximation of sobolev functions by functions which are smooth up to the boundary

Is there a link between fractional derivatives and sobolev spaces $H^s$ for $s$ fractional?

Why are these two sets of functions the same? Involves quasi-everywhere inequalities.

trace embedding

What does : we take $f=(1-\Delta )^Nu$ in the distribution mean?

Help understanding Energy estimates for Linear Hyperbolic PDE

interpolation method to Sobolev space

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