List questions from semigroup-of-operators

Published on 21 Nov 2015 - 12:33

46

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Basic inequality related to semigroup property

Published on 28 Nov 2015 - 0:52

35

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Regarding some notation in writting Differential Equation.

Published on 28 Dec 2015 - 17:29

39

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seeking for a general strategy to identify the right space for the domain of semigroup generator

Published on 29 Dec 2015 - 6:23

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Proving the graph norm is indeed a norm

Published on 06 Jan 2016 - 5:08

141

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A proof on the domain of semigroup

Published on 07 Jan 2016 - 1:55

30

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If $u(x)\in L^1(R)$，how to prove $\lim \limits_{t \to 0^+} \left \lVert u(xe^t)-u(x) \right \rVert_{L^{1}(R)}=0$

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58

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Semigroups on Complex Hilbert Spaces

Published on 22 Jan 2016 - 13:38

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Evolution semigroups for differential equations

Published on 12 Feb 2016 - 1:35

100

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Dissipativity for Hilbert spaces

Published on 13 Feb 2016 - 15:11

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Proving a function defined in terms of a $C_{0}$-semigroup is continuously differentiable

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44

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Limit in the Sobolev space

Published on 21 Feb 2016 - 15:00

58

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Is proving that $\lim_{t\downarrow 0}\|T(t)f-f\|=0$ enough to prove uniform convergence?

Published on 24 Feb 2016 - 16:46

2.1k

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$L^p-L^q$ estimates for heat equation - regularizing effect

Published on 29 Feb 2016 - 15:30

576

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Why does the semigroup commute with integration?

Published on 17 Mar 2016 - 0:43

List Question

a Direct computation of infinitesimal generator

Basic inequality related to semigroup property

Regarding some notation in writting Differential Equation.

seeking for a general strategy to identify the right space for the domain of semigroup generator

Proving the graph norm is indeed a norm

A proof on the domain of semigroup

If $u(x)\in L^1(R)$，how to prove $\lim \limits_{t \to 0^+} \left \lVert u(xe^t)-u(x) \right \rVert_{L^{1}(R)}=0$

Semigroups on Complex Hilbert Spaces

Evolution semigroups for differential equations

Dissipativity for Hilbert spaces

Proving a function defined in terms of a $C_{0}$-semigroup is continuously differentiable

Limit in the Sobolev space

Is proving that $\lim_{t\downarrow 0}\|T(t)f-f\|=0$ enough to prove uniform convergence?

$L^p-L^q$ estimates for heat equation - regularizing effect

Why does the semigroup commute with integration?

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