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C0-semigroup

In mathematical analysis, a C0-semigroup, also known as a strongly continuous one-parameter semigroup, is a generalization of the exponential function. Just as exponential functions provide solutions of scalar linear constant coefficient ordinary differential equations, strongly continuous semigroups provide solutions of linear constant coefficient…

Stability, Infinitesimal generator & Generation theorems

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Overview

Formal definition

Infinitesimal generator

Uniformly continuous semigroup

Examples

Abstract Cauchy problems

Generation theorems

Special classes of semigroups

Stability

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C0-semigroup

Nodes70
Edges69
Triples1
Avg. degree1.97
Density0.028571
Components1

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C0-semigroup

Top relations

related to Contraction semigroups · 1
C0-semigroup → It

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Important terminology

continuous textstyle semigroup strongly operator displaystyle called geq bounded theorem uniformly semigroups mathbb space banach generator differentiable exponential linear exists

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SubjectPredicateObjectConfidenceSrc
C0-semigrouprelated to Contraction semigroupsIt0.60section

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