List questions from fractional-sobolev-spaces

Published on 21 Mar 2020 - 0:25

493

Views

Is true that $H^{s,p}(\mathbb{R}^n)\subset C^k(\mathbb{R}^n)$ when $s-k>n/p$?.

Published on 23 Mar 2020 - 20:09

37

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Is true that $H^{s,p}(\mathbb{R}^n)\subset C^k(\mathbb{R}^n)$ with $s-k>n/p$?.

Published on 24 Mar 2020 - 23:54

35

Views

Immersion $H^s(\Omega) \hookrightarrow H^{s'}(\Omega)$ but with fractional laplacian defined on $\mathbb{R}^N$?

Published on 10 Apr 2020 - 9:50

109

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Determine if a function is in a fractional Sobolev space

Published on 04 May 2020 - 20:05

31

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An extension problem in Sobolev spaces

Published on 23 May 2020 - 21:11

129

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Relation between fractional and integer Sobolev norms

Published on 27 May 2020 - 15:22

261

Views

A trace embedding for fractional Sobolev space

Published on 03 Jun 2020 - 22:44

128

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Fractional Sobolev norm inverse inequality

Published on 04 Jun 2020 - 14:00

103

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Complex interpolation between $L^2$ and $H_0^1$

Published on 25 Mar 2026 - 4:37

51

Views

Close an unbounded operator on $H^s(\mathbb{R})$

Published on 10 Jun 2020 - 1:33

25

Views

Showing that $ \mathcal{F}^{-1}((1+|\cdot|^2)^{s/2}\mathcal{F}(u))=(Id-\Delta)^{s/2}(u)$

Published on 13 Jun 2020 - 8:23

238

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Sobolev space $H^s(\mathbb{R}), s<s_0$

Published on 13 Jun 2020 - 20:44

44

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Computing the $H^s$ norm of a time-dependent integral operator

Published on 23 Jun 2020 - 10:50

35

Views

weak-derivative of $u\in H^{3/2}(\Omega)$

Published on 10 Jul 2020 - 7:17

List Question

Motivation for the fractional Sobolev spaces

Is true that $H^{s,p}(\mathbb{R}^n)\subset C^k(\mathbb{R}^n)$ when $s-k>n/p$?.

Is true that $H^{s,p}(\mathbb{R}^n)\subset C^k(\mathbb{R}^n)$ with $s-k>n/p$?.

Immersion $H^s(\Omega) \hookrightarrow H^{s'}(\Omega)$ but with fractional laplacian defined on $\mathbb{R}^N$?

Determine if a function is in a fractional Sobolev space

An extension problem in Sobolev spaces

Relation between fractional and integer Sobolev norms

A trace embedding for fractional Sobolev space

Fractional Sobolev norm inverse inequality

Complex interpolation between $L^2$ and $H_0^1$

Close an unbounded operator on $H^s(\mathbb{R})$

Showing that $ \mathcal{F}^{-1}((1+|\cdot|^2)^{s/2}\mathcal{F}(u))=(Id-\Delta)^{s/2}(u)$

Sobolev space $H^s(\mathbb{R}), s<s_0$

Computing the $H^s$ norm of a time-dependent integral operator

weak-derivative of $u\in H^{3/2}(\Omega)$

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