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15
Math.TechQA.Club
2026-04-17 05:54:09
627
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Why is gradient boundedness sufficient to have $u_n \to u$ in $W^{1,p}$?
Published on
17 Apr 2026 - 5:54
#functional-analysis
#sobolev-spaces
3.5k
Views
function a.e. differentiable and it's weak derivative
Published on
28 Mar 2026 - 2:59
#sobolev-spaces
#distribution-theory
#weak-derivatives
869
Views
about weak derivative of Bochner integrable function
Published on
12 Apr 2026 - 13:15
#real-analysis
#partial-differential-equations
#sobolev-spaces
2.2k
Views
Find the weak derivative of $u(x)=\begin{cases}|x|, & \text{if}\,\,\, x<1 \\ 1-x^2, & \text{if}\,\,\, x\ge1 \end{cases}$
Published on
28 Mar 2026 - 4:51
#analysis
#sobolev-spaces
#weak-derivatives
515
Views
Sobolev embeddings
Published on
12 Apr 2026 - 0:08
#functional-analysis
#sobolev-spaces
277
Views
Calculus on the Sobolev space valued function of one real variable $t$?
Published on
12 Apr 2026 - 22:30
#real-analysis
#functional-analysis
#partial-differential-equations
#sobolev-spaces
392
Views
A question concerning the Stokes operator and its powers.
Published on
10 Apr 2026 - 2:46
#functional-analysis
#partial-differential-equations
#sobolev-spaces
357
Views
Prove operator $T$ is onto
Published on
15 Apr 2026 - 18:57
#functional-analysis
#operator-theory
#sobolev-spaces
79
Views
Multipliers in trace spaces
Published on
09 Apr 2026 - 12:08
#reference-request
#sobolev-spaces
672
Views
Caccioppoli-Leray Inequality for De Giorgi's regularity theorem
Published on
16 Apr 2026 - 12:02
#analysis
#reference-request
#partial-differential-equations
#sobolev-spaces
210
Views
Solving Dirichlet problem by means of potential theory
Published on
29 Mar 2026 - 4:33
#partial-differential-equations
#sobolev-spaces
#convolution
#potential-theory
764
Views
Is the Laplace operator in Sobolev space $W^{2,1}$ sectorial?
Published on
11 Apr 2026 - 19:25
#functional-analysis
#operator-theory
#sobolev-spaces
92
Views
I need help understanding the proof of the Lifting Theorem for $H^1$-functions.
Published on
26 Mar 2026 - 23:11
#functional-analysis
#sobolev-spaces
#hodge-theory
80
Views
Making a function in $W^{1,2}$ continuous
Published on
12 Apr 2026 - 5:50
#analysis
#integration
#partial-differential-equations
#sobolev-spaces
170
Views
Is it true that $f\in W^{-1,p}(\mathbb{R}^n)$, then $\Gamma\star f\in W^{1,p}(\mathbb{R}^n)$?
Published on
16 Apr 2026 - 2:47
#partial-differential-equations
#sobolev-spaces
#distribution-theory
#convolution
#regularization
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