List questions from sobolev-spaces

Published on 28 Sep 2023 - 18:45

145

Views

Regularity for heat equation with Neumann boundary conditions

Published on 28 Mar 2026 - 7:00

58

Views

Using density to prove an inequality for functions $f \in H^{1}(\mathbb{R}^{d})$

Published on 30 Sep 2023 - 10:25

45

Views

Proof that $H^{1}(\mathbb{R}^{2}) \subset L^{p}(\mathbb{R}^{2})$ for $2 \le p < \infty$

Published on 01 Oct 2023 - 16:01

68

Views

Unique solvability of weak Poisson equation with Neumann boundary condition

Published on 26 Mar 2026 - 12:58

90

Views

Find a weighted Sobolev space $X\subset L^1(\mathbb R^n)$ such that, if $u\in X$ and has zero mean, then $u$ is in the Hardy space $\mathcal H^1$.

Published on 25 Mar 2026 - 14:35

177

Views

A proof of Poincare inequality

Published on 03 Oct 2023 - 16:32

57

Views

Question on Sobolev spaces

Published on 05 Oct 2023 - 6:43

112

Views

Poisson equation infinite strip Sobolev regularity

Published on 26 Mar 2026 - 11:16

93

Views

Is Lipschitz condition necessary for a boundary to satisfy segment condition?

Published on 07 Oct 2023 - 6:11

79

Views

Brezis' exercise 8.2.1: a bounded sequence in $W^{1, p}(I)$

Published on 26 Mar 2026 - 14:42

43

Views

$L^p$ bound of a bounded sequence in Sobolev space

Published on 08 Oct 2023 - 3:36

29

Views

What is the $L^2$ norm of a function which is any random of a point?

Published on 09 Oct 2023 - 6:11

75

Views

Brezis' exercise 8.3: Helly’s selection theorem

Published on 09 Oct 2023 - 9:28

96

Views

Question about the standard approximation argument, approximate a functional whose variable is $\varphi \in C_c^1(\Omega)$.

Published on 09 Oct 2023 - 10:34

List Question

References for this gradient inequality?

Regularity for heat equation with Neumann boundary conditions

Using density to prove an inequality for functions $f \in H^{1}(\mathbb{R}^{d})$

Proof that $H^{1}(\mathbb{R}^{2}) \subset L^{p}(\mathbb{R}^{2})$ for $2 \le p < \infty$

Unique solvability of weak Poisson equation with Neumann boundary condition

Find a weighted Sobolev space $X\subset L^1(\mathbb R^n)$ such that, if $u\in X$ and has zero mean, then $u$ is in the Hardy space $\mathcal H^1$.

A proof of Poincare inequality

Question on Sobolev spaces

Poisson equation infinite strip Sobolev regularity

Is Lipschitz condition necessary for a boundary to satisfy segment condition?

Brezis' exercise 8.2.1: a bounded sequence in $W^{1, p}(I)$

$L^p$ bound of a bounded sequence in Sobolev space

What is the $L^2$ norm of a function which is any random of a point?

Brezis' exercise 8.3: Helly’s selection theorem

Question about the standard approximation argument, approximate a functional whose variable is $\varphi \in C_c^1(\Omega)$.

Trending Questions

Popular # Hahtags

Popular Questions