List questions from trace-map

Published on 24 Oct 2023 - 13:32

56

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There is no continuous functional $T:L^p(\Omega)\rightarrow L^p(\partial \Omega)$, with $\Omega\subset\mathbb{R}^n$? (As in trace theorem)

Published on 13 Dec 2023 - 6:30

28

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Is there a way to prove the theorem of Trace as in Evans, in the picture below, using only weak derivatives?

Published on 13 Dec 2023 - 13:27

53

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How is the trace theorem used in practice?

Published on 05 Feb 2024 - 23:32

38

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Restriction of a compactly supported function on a bounded domain in a surface

Published on 22 Mar 2024 - 0:35

361

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Bijections of a finite field that preserve the kernel of the trace

Published on 23 Feb 2015 - 21:37

801

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A trace inequality with epsilon in Sobolev spaces

Published on 11 Apr 2015 - 6:54

2.1k

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additive character of a finite field, trace map to middle field

Published on 04 Aug 2015 - 14:42

337

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Finite fields: factorization of the trace function over the base field

Published on 12 Nov 2015 - 18:23

600

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adjoint operator of the partial trace map

Published on 04 Mar 2026 - 1:58

3.1k

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Trace operator and $W^{1,p}_0$

Published on 09 Jan 2016 - 18:24

68

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Hilbert space and traces

Published on 04 Mar 2016 - 17:27

628

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Are piecewise constants in $H^{1/2}(\partial\Omega)$?

Published on 05 Apr 2016 - 1:05

271

Views

Trace 0 and Norm 1 elements in Finite fields

Published on 06 Mar 2026 - 3:38

523

Views

$C(\overline\Omega)$ and $C_0(\Omega)$

Published on 14 May 2016 - 17:10

List Question

Trace spaces for Sobolev functions

There is no continuous functional $T:L^p(\Omega)\rightarrow L^p(\partial \Omega)$, with $\Omega\subset\mathbb{R}^n$? (As in trace theorem)

Is there a way to prove the theorem of Trace as in Evans, in the picture below, using only weak derivatives?

How is the trace theorem used in practice?

Restriction of a compactly supported function on a bounded domain in a surface

Bijections of a finite field that preserve the kernel of the trace

A trace inequality with epsilon in Sobolev spaces

additive character of a finite field, trace map to middle field

Finite fields: factorization of the trace function over the base field

adjoint operator of the partial trace map

Trace operator and $W^{1,p}_0$

Hilbert space and traces

Are piecewise constants in $H^{1/2}(\partial\Omega)$?

Trace 0 and Norm 1 elements in Finite fields

$C(\overline\Omega)$ and $C_0(\Omega)$

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