Question

$C([0,T],(L(X),\mathcal T_{\text{strong}})) = C([0,T],(L(X),\mathcal T_{\text{uniform}}))$?

score 89 · Answer 1 · 2026-03-22 05:00:48

89

Views

$C([0,T],(L(X),\mathcal T_{\text{strong}})) = C([0,T],(L(X),\mathcal T_{\text{uniform}}))$?

Published on 22 Mar 2026 - 5:00

score 55 · Answer 2 · 2026-03-22 00:28:48

55

Views

What's exactly meant if one is saying that the closure of a multivalued operator is the generator of a $C^0$-semigroup?

Published on 22 Mar 2026 - 0:28

score 76 · Answer 3 · 2026-03-22 09:14:24

76

Views

Show that a semigroup is strongly continuous on the domain of its generator

Published on 22 Mar 2026 - 9:14

score 165 · Answer 4 · 2026-03-21 21:02:32

165

Views

Does strong convergence of generators imply the strong convergence of the corresponding semigroups?

Published on 21 Mar 2026 - 21:02

score 80 · Answer 5 · 2026-03-22 10:05:43

80

Views

How to prove that a linear differential operator generates a semigroup?

Published on 22 Mar 2026 - 10:05

score 383 · Answer 6 · 2026-03-22 03:38:38

383

Views

Proof that bounded right continuous functions are integrable.

Published on 22 Mar 2026 - 3:38

score 106 · Answer 7 · 2026-03-21 17:13:56

106

Views

How is integration by parts applied here?

Published on 21 Mar 2026 - 17:13

score 536 · Answer 8 · 2026-03-22 01:37:24

536

Views

Sectorial operator: $0\in \rho(A)$ or $0\not\in \rho(A)$?

Published on 22 Mar 2026 - 1:37

score 109 · Answer 9 · 2026-03-21 16:20:11

109

Views

self-adjoint bounded generates analytic semigroup

Published on 21 Mar 2026 - 16:20

score 46 · Answer 10 · 2026-03-22 12:12:09

46

Views

If $(T_t)$ is a semi group, why $\lim_{s\to 0}T_t\frac{T_su-u}{s}=T_t\lim_{s\to 0}\frac{T_su-u}{s}$?

Published on 22 Mar 2026 - 12:12

score 71 · Answer 11 · 2026-03-21 19:29:11

71

Views

Operator Semigroups Simplified

Published on 21 Mar 2026 - 19:29

score 28 · Answer 12 · 2026-03-25 04:35:05

28

Views

Cesaro average semigroup

Published on 25 Mar 2026 - 4:35

score 266 · Answer 13 · 2026-03-21 18:31:39

266

Views

How can we prove that a (locally bounded) semigroup is strongly continuous on the closure of its generator?

Published on 21 Mar 2026 - 18:31

score 180 · Answer 14 · 2026-03-21 22:09:34

180

Views

$u'\in L^{\infty}(0,T;L^{2}(U))\cap L^{2}(0,T;H_{0}^{1}(U))$ regularity in the semigroup approach

Published on 21 Mar 2026 - 22:09

score 182 · Answer 15 · 2026-03-22 04:41:30

182

Views

Show that $C_c^∞(\mathbb R)$ is a core of the generator of the Feller semigroup induced by the strong solution of an SDE with Lipschitz coefficients

Published on 22 Mar 2026 - 4:41

List Question

$C([0,T],(L(X),\mathcal T_{\text{strong}})) = C([0,T],(L(X),\mathcal T_{\text{uniform}}))$?

What's exactly meant if one is saying that the closure of a multivalued operator is the generator of a $C^0$-semigroup?

Show that a semigroup is strongly continuous on the domain of its generator

Does strong convergence of generators imply the strong convergence of the corresponding semigroups?

How to prove that a linear differential operator generates a semigroup?

Proof that bounded right continuous functions are integrable.

How is integration by parts applied here?

Sectorial operator: $0\in \rho(A)$ or $0\not\in \rho(A)$?

self-adjoint bounded generates analytic semigroup

If $(T_t)$ is a semi group, why $\lim_{s\to 0}T_t\frac{T_su-u}{s}=T_t\lim_{s\to 0}\frac{T_su-u}{s}$?

Operator Semigroups Simplified

Cesaro average semigroup

How can we prove that a (locally bounded) semigroup is strongly continuous on the closure of its generator?

$u'\in L^{\infty}(0,T;L^{2}(U))\cap L^{2}(0,T;H_{0}^{1}(U))$ regularity in the semigroup approach

Show that $C_c^∞(\mathbb R)$ is a core of the generator of the Feller semigroup induced by the strong solution of an SDE with Lipschitz coefficients

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