List questions from sobolev-spaces

Published on 25 Mar 2026 - 12:54

337

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Weak solution of heat equation decreases in time

Published on 25 Mar 2026 - 16:02

54

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Multi-index derivatives in Sobolev spaces

Published on 05 Oct 2018 - 10:16

174

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Approximation in a Sobolev Space

Published on 07 Oct 2018 - 2:38

249

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Limit of a sequence of functions in the Sobolev space

Published on 26 Mar 2026 - 21:26

150

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Definition of homogeneous Sobolev spaces $\dot W^{-s,q}$

Published on 25 Mar 2026 - 0:07

33

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Exact value of constant C in Sobolev seminorm

Published on 09 Oct 2018 - 13:35

173

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Fractional Hardy inequality

Published on 24 Mar 2026 - 23:59

108

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Cauchy sequence but not essentially bounded

Published on 12 Oct 2018 - 3:35

62

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Fractional embedding inequality with $L^{\infty}$ norm

Published on 25 Mar 2026 - 0:00

595

Views

Sobolev-function $u\in W^{1, p}(\mathbb{R}^n)$ which is unbounded on every open set $U\subset\mathbb{R}^n$

Published on 27 Mar 2026 - 7:13

38

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$W_0^{m,2}$ estimate for weak solution of Laplacian

Published on 13 Oct 2018 - 12:34

96

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An inequality for Sobolev functions

Published on 27 Mar 2026 - 13:47

61

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A density result in $W^{1,p} (\mathbb{R}^n) \cap C^{1}(\mathbb{R}^n)$

Published on 25 Mar 2026 - 9:27

1.4k

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Orthonormal basis for Sobolev Space $H^1[0,1]$ in one dimension

Published on 27 Mar 2026 - 21:56

List Question

Does solution of heat equation increase in time if the source term is positive?

Weak solution of heat equation decreases in time

Multi-index derivatives in Sobolev spaces

Approximation in a Sobolev Space

Limit of a sequence of functions in the Sobolev space

Definition of homogeneous Sobolev spaces $\dot W^{-s,q}$

Exact value of constant C in Sobolev seminorm

Fractional Hardy inequality

Cauchy sequence but not essentially bounded

Fractional embedding inequality with $L^{\infty}$ norm

Sobolev-function $u\in W^{1, p}(\mathbb{R}^n)$ which is unbounded on every open set $U\subset\mathbb{R}^n$

$W_0^{m,2}$ estimate for weak solution of Laplacian

An inequality for Sobolev functions

A density result in $W^{1,p} (\mathbb{R}^n) \cap C^{1}(\mathbb{R}^n)$

Orthonormal basis for Sobolev Space $H^1[0,1]$ in one dimension

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