List questions from sobolev-spaces

Published on 16 Apr 2026 - 13:30

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Estimating $\lVert f \rVert_1$ in terms of $\int_{\mathbb{R}}\frac{f(x)}{(1+x^2)^n} $?

Published on 16 Apr 2026 - 15:38

75

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Spatial derivatives and weak convergence in Bochner spaces

Published on 26 Mar 2026 - 19:16

59

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How to prove the existence and uniqueness of pde with Caputo fractional derivative in time

Published on 10 May 2026 - 17:01

323

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Weak convergence in Sobolev space $H_1$ implies weak convergence in $L^2$

Published on 13 Apr 2026 - 2:27

91

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Equivalent norm in $H^{4}(\Omega)$

Published on 10 Apr 2026 - 20:02

33

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How to show this integral operator is hemicontinuous?

Published on 10 Apr 2026 - 5:43

56

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Embedding of Sobolev Space $W^{n, \infty}(\Omega)$ into $C^{n-1}(\Omega)$

Published on 14 Apr 2026 - 7:37

138

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A compact embedding of $W^{2,p}$ into $C^{1}(\overline{\Omega})$

Published on 15 Apr 2026 - 5:03

78

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Aproximation of a picewise smooth function

Published on 12 Apr 2026 - 5:27

49

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How to prove that $H_p$ norm is equivalent to the commonly used norm?

Published on 11 Apr 2026 - 18:42

56

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Smallest Sobolev space whose elements are continuous functions

Published on 16 Apr 2026 - 23:34

82

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Product of Sobolev functions in 1D

Published on 15 Apr 2026 - 9:17

677

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Multi-index notation for partial derivatives

Published on 13 Apr 2026 - 7:40

346

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What are the Sobolev spaces $H^{2}L^{2}$, etc ...?

Published on 12 Apr 2026 - 22:36

List Question

Question regarding a problem derived from Evans PDE's book:

Estimating $\lVert f \rVert_1$ in terms of $\int_{\mathbb{R}}\frac{f(x)}{(1+x^2)^n} $?

Spatial derivatives and weak convergence in Bochner spaces

How to prove the existence and uniqueness of pde with Caputo fractional derivative in time

Weak convergence in Sobolev space $H_1$ implies weak convergence in $L^2$

Equivalent norm in $H^{4}(\Omega)$

How to show this integral operator is hemicontinuous?

Embedding of Sobolev Space $W^{n, \infty}(\Omega)$ into $C^{n-1}(\Omega)$

A compact embedding of $W^{2,p}$ into $C^{1}(\overline{\Omega})$

Aproximation of a picewise smooth function

How to prove that $H_p$ norm is equivalent to the commonly used norm?

Smallest Sobolev space whose elements are continuous functions

Product of Sobolev functions in 1D

Multi-index notation for partial derivatives

What are the Sobolev spaces $H^{2}L^{2}$, etc ...?

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