List questions from sobolev-spaces

25

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Inequality in Sobolev Space : $\|f\|_{H^{-1}(a,b)} \leq C \|g^{\prime}\|_{L^{2}(a,b)} + C\|f^{\prime}\|_{L^{2}(a,b)} $

Published on 12 Jun 2023 - 23:16

25

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Why is $M$ closed in the weak topology of $V = H^{1,2}(\varOmega;\mathbb{R}^N)$?

Published on 26 Mar 2026 - 9:58

45

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Matching conditions of locally $H^2$ functions to ensure global $H^2$ regularity

Published on 28 Mar 2026 - 5:23

125

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An inclusion in Sobolev-Bochner spaces for an open set $\Omega \subset \mathbb{R}^2$ smooth enough

Published on 26 Mar 2026 - 4:34

49

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Proof explanation in Mathematical Problems in Elasticity and Homogenization (Oleinik et al.)

Published on 15 Jun 2023 - 15:31

46

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A continuous function in $W^{1,p}(I)$ function with continuous weak derivative is a $C^1(\overline{I})$ function

Published on 25 Mar 2026 - 16:06

107

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Weighted Sobolev spaces and decay

Published on 17 Jun 2023 - 21:26

25

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Embedding in compact manifold

Published on 25 Mar 2026 - 16:06

67

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Converse of the Sobolev Theorem

Published on 25 Mar 2026 - 20:58

53

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Antiderivative of $f\cdot Hf$, where $H$ is the Hilbert transform

Published on 19 Jun 2023 - 4:53

69

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Continuity of $H_s \subset C_0^k$ inclusion

Published on 25 Mar 2026 - 20:52

43

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Functional convergence in $W^{s,p}(M)$

Published on 25 Mar 2026 - 12:46

337

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Why doesn't the trace operator preserve regularity?

Published on 22 Jun 2023 - 7:00

72

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$H^{-1}$ norm of a $H^1_0$ function

Published on 22 Jun 2023 - 10:54

122

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On summability of functions in weighted Lebesgue spaces

Published on 22 Jun 2023 - 13:15

List Question

Inequality in Sobolev Space : $\|f\|_{H^{-1}(a,b)} \leq C \|g^{\prime}\|_{L^{2}(a,b)} + C\|f^{\prime}\|_{L^{2}(a,b)} $

Why is $M$ closed in the weak topology of $V = H^{1,2}(\varOmega;\mathbb{R}^N)$?

Matching conditions of locally $H^2$ functions to ensure global $H^2$ regularity

An inclusion in Sobolev-Bochner spaces for an open set $\Omega \subset \mathbb{R}^2$ smooth enough

Proof explanation in Mathematical Problems in Elasticity and Homogenization (Oleinik et al.)

A continuous function in $W^{1,p}(I)$ function with continuous weak derivative is a $C^1(\overline{I})$ function

Weighted Sobolev spaces and decay

Embedding in compact manifold

Converse of the Sobolev Theorem

Antiderivative of $f\cdot Hf$, where $H$ is the Hilbert transform

Continuity of $H_s \subset C_0^k$ inclusion

Functional convergence in $W^{s,p}(M)$

Why doesn't the trace operator preserve regularity?

$H^{-1}$ norm of a $H^1_0$ function

On summability of functions in weighted Lebesgue spaces

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