List questions from fractional-sobolev-spaces

Published on 17 Sep 2020 - 8:29

72

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Beginning of the proof of density of $C_0^{\infty}(\mathbb{R}^n)$ in fractional Sobolev space

Published on 22 Sep 2020 - 19:26

890

Views

Continuous embedding of fractional Sobolev spaces in $L^q$ for $q<p^*$

Published on 27 Sep 2020 - 9:12

45

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Propagation of Sobolev Regularity to Endpoints in Local Well-Posedness Theory

Published on 28 Sep 2020 - 20:50

38

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Fourier series of Bessel potential monotone

Published on 08 Oct 2020 - 10:24

320

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Elementary interpolation inequality between Lebesgue and Sobolev-Slobodeckij spaces

Published on 25 Mar 2026 - 13:53

240

Views

Prove a function is not in a Sobolev space

Published on 05 Nov 2020 - 20:25

105

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Fourier coefficients implies absolutely continuity

Published on 18 Nov 2020 - 12:57

109

Views

Bounded gradient in weak $L^1$ implies compactness in $L^1$ (?) Relation to fractional Sobolev compactness.

Published on 25 Mar 2026 - 19:02

135

Views

Bounded integral operator on a Sobolev space

Published on 09 Dec 2020 - 19:03

41

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Green function for $(-\Delta)^s + Id$ operator?

Published on 21 Dec 2020 - 13:42

115

Views

fractional Sobolev integral

Published on 21 Dec 2020 - 20:41

287

Views

The Heaviside Function, its Fourier transform, and its inclusion in $H^s(\mathbb{R})$ for all $s<1/2$.

Published on 28 Dec 2020 - 1:06

176

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Convergence of normal derivative in Sobolev space $H^1$

Published on 25 Mar 2026 - 14:22

84

Views

The regularity for elliptic problems

Published on 31 Jan 2021 - 9:43

List Question

Why is the fractional Sobolev space defined like this?

Beginning of the proof of density of $C_0^{\infty}(\mathbb{R}^n)$ in fractional Sobolev space

Continuous embedding of fractional Sobolev spaces in $L^q$ for $q<p^*$

Propagation of Sobolev Regularity to Endpoints in Local Well-Posedness Theory

Fourier series of Bessel potential monotone

Elementary interpolation inequality between Lebesgue and Sobolev-Slobodeckij spaces

Prove a function is not in a Sobolev space

Fourier coefficients implies absolutely continuity

Bounded gradient in weak $L^1$ implies compactness in $L^1$ (?) Relation to fractional Sobolev compactness.

Bounded integral operator on a Sobolev space

Green function for $(-\Delta)^s + Id$ operator?

fractional Sobolev integral

The Heaviside Function, its Fourier transform, and its inclusion in $H^s(\mathbb{R})$ for all $s<1/2$.

Convergence of normal derivative in Sobolev space $H^1$

The regularity for elliptic problems

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