List questions from sobolev-spaces

Published on 06 Nov 2015 - 8:20

23

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A limit about measure set

Published on 07 Nov 2015 - 9:13

220

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Convergence of line restrictions of Sobolev functions

Published on 07 Nov 2015 - 19:29

86

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Embedding of $W^{d, 1}(\overline{\Omega)}$ into $C(\overline{\Omega})$

Published on 07 Nov 2015 - 21:11

1.2k

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convolutions and mollification of functions in $L^1_{\text{loc}}(\Omega)$

Published on 08 Nov 2015 - 4:34

221

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The existence of solution of wave equation with initial/boundary data in $H^{-1}$ and $L^2$

Published on 28 Mar 2026 - 22:55

344

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A sobolev function $u$ that $u\in L^1$ but $\nabla u\in L^2$. Will it be $H^1$?

Published on 09 Nov 2015 - 16:21

1.1k

Views

Does an extension operator in Sobolev spaces commute with derivative operators?

Published on 28 Mar 2026 - 11:36

4.1k

Views

proof of the Meyers-Serrin Theorem in Evans's PDE book

Published on 10 Nov 2015 - 0:36

564

Views

domain of heat semigroup,

Published on 29 Mar 2026 - 0:39

1.1k

Views

Is there a Rellich-Kondrachov theorem for manifolds with boundary?

Published on 11 Nov 2015 - 16:34

44

Views

Additional sobolev regularity from laplace

Published on 13 Nov 2015 - 10:06

2.3k

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About weak convergence in Sobolev space $W^{1,p}(U)$

Published on 13 Nov 2015 - 17:23

146

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Zero extension of a $W^{2,\infty}$ Sobolev function outside its domain

Published on 18 Nov 2015 - 22:20

195

Views

Kind of Cauchy-Schwarz inequality

Published on 28 Mar 2026 - 9:50

List Question

Weak formulation with Dirichlet boundary conditions

A limit about measure set

Convergence of line restrictions of Sobolev functions

Embedding of $W^{d, 1}(\overline{\Omega)}$ into $C(\overline{\Omega})$

convolutions and mollification of functions in $L^1_{\text{loc}}(\Omega)$

The existence of solution of wave equation with initial/boundary data in $H^{-1}$ and $L^2$

A sobolev function $u$ that $u\in L^1$ but $\nabla u\in L^2$. Will it be $H^1$?

Does an extension operator in Sobolev spaces commute with derivative operators?

proof of the Meyers-Serrin Theorem in Evans's PDE book

domain of heat semigroup,

Is there a Rellich-Kondrachov theorem for manifolds with boundary?

Additional sobolev regularity from laplace

About weak convergence in Sobolev space $W^{1,p}(U)$

Zero extension of a $W^{2,\infty}$ Sobolev function outside its domain

Kind of Cauchy-Schwarz inequality

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