C0-semigroup
Generalization of the exponential function / From Wikipedia, the free encyclopedia
Dear Wikiwand AI, let's keep it short by simply answering these key questions:
Can you list the top facts and stats about C0-semigroup?
Summarize this article for a 10 year old
In mathematics, 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 ordinary differential equations in Banach spaces. Such differential equations in Banach spaces arise from e.g. delay differential equations and partial differential equations.
It has been suggested that Quasicontraction semigroup be merged into this article. (Discuss) Proposed since November 2023. |
Formally, a strongly continuous semigroup is a representation of the semigroup (R+,ā+) on some Banach space X that is continuous in the strong operator topology.