List questions from sobolev-spaces

Published on 16 Apr 2026 - 19:41

51

Views

Prove $u|_{\bar\Omega_j} \in C^1(\bar \Omega_j)$ such that $u \in H^1(\Omega)$ belongs to $C(\bar\Omega)$

Published on 16 Apr 2026 - 18:54

21

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Function space of Schrödinger equation

Published on 11 Apr 2026 - 17:58

238

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Sobolev Trace theorem constant

Published on 09 Apr 2026 - 18:10

37

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Dependence of the parameter while using the Teorema de Lax–Milgram for solving a PDE

Published on 14 Apr 2026 - 15:52

461

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Functions in Sobolev Spaces that are NOT continuous

Published on 12 Apr 2026 - 5:43

63

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Equality of two sets in Sobolev space

Published on 10 Apr 2026 - 20:14

279

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Bounds for the $H^1$ norm of the solution to Poisson's equation

Published on 10 Apr 2026 - 18:29

55

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Is $H_0^1(\Omega)$ isomorphic to $\{u\in H^1(\mathbb{R}^n):u|_{\Omega^c}=0\}$?

Published on 16 Apr 2026 - 4:44

236

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Does $W^{1,1}([a,b])$ compactly embed in $L^1([a,b])$?

Published on 14 Apr 2026 - 23:49

97

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multiplying a function in $H^s$ times a function taking values in $S^1$

Published on 14 Apr 2026 - 10:23

75

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Existence of solution to Laplace equation given graph form and fractional Sobolev data

Published on 16 Apr 2026 - 20:55

397

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Sobolev space $W^{k,p}$ as the completion of $C^\infty$ or the completion of $C^k$

Published on 12 Apr 2026 - 12:58

71

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Example of frames for Sobolev spaces

Published on 11 Apr 2026 - 11:57

102

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weak derivative, Sobolev spaces and boundary conditions

Published on 13 Apr 2026 - 13:25

List Question

A technical issue in the proof of Courant's Nodal Domain Theorem

Prove $u|_{\bar\Omega_j} \in C^1(\bar \Omega_j)$ such that $u \in H^1(\Omega)$ belongs to $C(\bar\Omega)$

Function space of Schrödinger equation

Sobolev Trace theorem constant

Dependence of the parameter while using the Teorema de Lax–Milgram for solving a PDE

Functions in Sobolev Spaces that are NOT continuous

Equality of two sets in Sobolev space

Bounds for the $H^1$ norm of the solution to Poisson's equation

Is $H_0^1(\Omega)$ isomorphic to $\{u\in H^1(\mathbb{R}^n):u|_{\Omega^c}=0\}$?

Does $W^{1,1}([a,b])$ compactly embed in $L^1([a,b])$?

multiplying a function in $H^s$ times a function taking values in $S^1$

Existence of solution to Laplace equation given graph form and fractional Sobolev data

Sobolev space $W^{k,p}$ as the completion of $C^\infty$ or the completion of $C^k$

Example of frames for Sobolev spaces

weak derivative, Sobolev spaces and boundary conditions

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