List questions from sobolev-spaces

Published on 17 Apr 2026 - 5:45

179

Views

Sobolev space counterexample

Published on 13 Apr 2026 - 1:44

322

Views

The proof of Friedrichs' Inequality

Published on 11 Apr 2026 - 5:42

273

Views

Embedding from homogeneous Besov spaces to homogeneous Sobolev spaces.

Published on 10 May 2026 - 16:25

294

Views

Restriction of fractional Sobolev "function" of negative order to subset

Published on 10 May 2026 - 20:54

88

Views

Could we extend the functional $\xi \in C_0^\infty \left( \Omega \right) \to \xi \left( 0 \right) \in \mathbb R$ to a cont functional in Sobolev sp

Published on 13 Apr 2026 - 18:42

158

Views

is the Sobolev space $H_0^1(\Omega)$, where $\Omega$ is a bounded 1D interval, a Hilbert space?

Published on 15 Apr 2026 - 11:38

108

Views

Show a non-compact embedding

Published on 09 Apr 2026 - 0:21

60

Views

compact embedding for $V=\{ u \in W^{1,2}(\mathbb{R}) : \int_{\mathbb{R}}{u²(x)x^2dx \lt \infty}\}$

Published on 14 Apr 2026 - 19:26

42

Views

$L^2$ estimate and a nonlinear logarithmic transformation

Published on 16 Apr 2026 - 15:17

78

Views

notation problem about $\left|\nabla f\right|$ and choice of vector norm

Published on 15 Apr 2026 - 2:13

160

Views

Is there an isometric isomorphism between Sobolev space $H_{1}^{0}$ and $L^{2}(\Omega)$?

Published on 12 Apr 2026 - 19:01

254

Views

Gradient inequality in Morrey's and Gagliardo-Nirenberg inequality proofs

Published on 14 Apr 2026 - 10:13

65

Views

Compute limit logarithmic sobolev inequality

Published on 14 Apr 2026 - 18:08

36

Views

What are the definitions for these spaces: $AC\left( \left[ a,b\right] ;X\right) ;$ $W^{1,p}\left( \left[ a,b\right] ;X\right) ;$?

Published on 16 Apr 2026 - 6:23

List Question

$H^{1}$ or $H^{-1}$?

Sobolev space counterexample

The proof of Friedrichs' Inequality

Embedding from homogeneous Besov spaces to homogeneous Sobolev spaces.

Restriction of fractional Sobolev "function" of negative order to subset

Could we extend the functional $\xi \in C_0^\infty \left( \Omega \right) \to \xi \left( 0 \right) \in \mathbb R$ to a cont functional in Sobolev sp

is the Sobolev space $H_0^1(\Omega)$, where $\Omega$ is a bounded 1D interval, a Hilbert space?

Show a non-compact embedding

compact embedding for $V=\{ u \in W^{1,2}(\mathbb{R}) : \int_{\mathbb{R}}{u²(x)x^2dx \lt \infty}\}$

$L^2$ estimate and a nonlinear logarithmic transformation

notation problem about $\left|\nabla f\right|$ and choice of vector norm

Is there an isometric isomorphism between Sobolev space $H_{1}^{0}$ and $L^{2}(\Omega)$?

Gradient inequality in Morrey's and Gagliardo-Nirenberg inequality proofs

Compute limit logarithmic sobolev inequality

What are the definitions for these spaces: $AC\left( \left[ a,b\right] ;X\right) ;$ $W^{1,p}\left( \left[ a,b\right] ;X\right) ;$?

Trending Questions

Popular # Hahtags

Popular Questions