List questions from sobolev-spaces

Published on 08 Aug 2015 - 17:49

598

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a nontrivial inequality in the proof of weak solution of biharmonic equation

Published on 11 Apr 2026 - 22:18

740

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Inequality in Sobolev Space Involving Time

Published on 11 Apr 2026 - 4:19

45

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$C_0^0((a,b)) \subset W_0^{1,2}((a,b))$?

Published on 10 Aug 2015 - 16:55

159

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Show for the Hamilton's operator $H$ that $\overline{(H, C_0^{\infty}(\mathbb{R}))} = (H, W_2^2(\mathbb{R}))$ using Fourier transform

Published on 03 Apr 2026 - 20:52

190

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Functions Satisfying $u,\Delta u\in L^{1}(\mathbb{R}^{n})$

Published on 28 Mar 2026 - 21:27

785

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Extending Sobolev functions by zero

Published on 10 Apr 2026 - 13:09

67

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Prolongement in Sobolev spaces

Published on 11 Apr 2026 - 19:06

119

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$f\mapsto \frac{df}{dx} - \frac{x}{\sqrt{1+x^2}}f $ has closed image and $1$-dimensional cokernel

Published on 16 Aug 2015 - 23:39

74

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Is this space a Banach space? 2

Published on 17 Aug 2015 - 20:48

297

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Question about equivalent norms on $W^{2,2}(\Omega) \cap W^{1,2}_0(\Omega)$.

Published on 31 Mar 2026 - 14:55

205

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Decomposition of measures acting on sobolev spaces

Published on 11 Apr 2026 - 18:35

421

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About the dual of Sobolev spaces

Published on 11 Apr 2026 - 2:44

235

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Is the regularity of $u$ necessary to deduce this result? (Evans PDE)

Published on 27 Mar 2026 - 14:02

286

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A question on vanishing viscosity in Evans PDE

Published on 27 Mar 2026 - 13:47

List Question

Sobolev spaces over closed domains.

a nontrivial inequality in the proof of weak solution of biharmonic equation

Inequality in Sobolev Space Involving Time

$C_0^0((a,b)) \subset W_0^{1,2}((a,b))$?

Show for the Hamilton's operator $H$ that $\overline{(H, C_0^{\infty}(\mathbb{R}))} = (H, W_2^2(\mathbb{R}))$ using Fourier transform

Functions Satisfying $u,\Delta u\in L^{1}(\mathbb{R}^{n})$

Extending Sobolev functions by zero

Prolongement in Sobolev spaces

$f\mapsto \frac{df}{dx} - \frac{x}{\sqrt{1+x^2}}f $ has closed image and $1$-dimensional cokernel

Is this space a Banach space? 2

Question about equivalent norms on $W^{2,2}(\Omega) \cap W^{1,2}_0(\Omega)$.

Decomposition of measures acting on sobolev spaces

About the dual of Sobolev spaces

Is the regularity of $u$ necessary to deduce this result? (Evans PDE)

A question on vanishing viscosity in Evans PDE

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