List questions from semigroup-of-operators

82

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If $A$ generates the $C_0$-semigroup $\{T_t;t\ge0\}$, then $Au=f \Rightarrow u=-\int_0^\infty T_t f dt$?

Published on 23 Mar 2026 - 12:53

561

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Hille-Yoshida Theorem - help! Proving an operator generates a $C_0$ semigroup

Published on 22 Mar 2026 - 12:47

200

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Proving an operator is surjective for Lumer-Phillips Theorem application.

Published on 20 Mar 2026 - 7:25

118

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Why does the Malliavin derivative of a Markovian semigroup being strong Feller imply the semigroup strong Feller?

Published on 20 Mar 2026 - 8:39

189

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Semigroup of probability measures that transitions the laws of a process

Published on 20 Mar 2026 - 7:07

225

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Understanding a proof from Pazy's book on infinitesimal generators

Published on 20 Mar 2026 - 7:55

59

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$\{(T(t)f)(s) \; ;\; t \geq 0\}$ is a $C_0$ semigroup

Published on 20 Mar 2026 - 6:13

154

Views

Fundamental theorem of calculus for semigroups

Published on 22 Mar 2026 - 8:57

61

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Dynkin's theorem of extension of generators

Published on 23 Mar 2026 - 15:50

71

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Positivity preserving property of resolvents

Published on 20 Mar 2026 - 0:37

205

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Calculation/Verification of an integral kernel for $\operatorname{e}^{t\Delta}(1-\Delta)^{-\frac{1}{4}}$

Published on 22 Mar 2026 - 10:04

253

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Interpretation of the resolvent of Brownian motion

Published on 23 Mar 2026 - 12:35

67

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Strengthening the strong Feller property

Published on 23 Mar 2026 - 12:49

63

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Equality of two operators using (inverse) resolvent

Published on 23 Mar 2026 - 10:52

62

Views

By definition of $e^{it\partial_x^2}, \partial_x^2 u \in L^2({\mathbb{T}}) $..

Published on 23 Mar 2026 - 9:37

List Question

If $A$ generates the $C_0$-semigroup $\{T_t;t\ge0\}$, then $Au=f \Rightarrow u=-\int_0^\infty T_t f dt$?

Hille-Yoshida Theorem - help! Proving an operator generates a $C_0$ semigroup

Proving an operator is surjective for Lumer-Phillips Theorem application.

Why does the Malliavin derivative of a Markovian semigroup being strong Feller imply the semigroup strong Feller?

Semigroup of probability measures that transitions the laws of a process

Understanding a proof from Pazy's book on infinitesimal generators

$\{(T(t)f)(s) \; ;\; t \geq 0\}$ is a $C_0$ semigroup

Fundamental theorem of calculus for semigroups

Dynkin's theorem of extension of generators

Positivity preserving property of resolvents

Calculation/Verification of an integral kernel for $\operatorname{e}^{t\Delta}(1-\Delta)^{-\frac{1}{4}}$

Interpretation of the resolvent of Brownian motion

Strengthening the strong Feller property

Equality of two operators using (inverse) resolvent

By definition of $e^{it\partial_x^2}, \partial_x^2 u \in L^2({\mathbb{T}}) $..

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