In mathematical analysis, a C0-semigroup Γ(t), t ≥ 0, is called a quasicontraction semigroup if there is a constant ω such that ||Γ(t)|| ≤ exp(ωt) for all t ≥ 0. Γ(t) is called a contraction semigroup if ||Γ(t)|| ≤ 1 for all t ≥ 0.
Renardy, Michael; Rogers, Robert C. (2004). An introduction to partial differential equations. Texts in Applied Mathematics 13 (Second ed.). New York: Springer-Verlag. p. xiv+434. ISBN0-387-00444-0. MR2028503
quasicontraction, semigroup, been, suggested, that, this, article, merged, into, semigroup, contraction, semigroups, discuss, proposed, since, november, 2023, mathematical, analysis, semigroup, called, quasicontraction, semigroup, there, constant, such, that, . It has been suggested that this article be merged into C0 semigroup Contraction semigroups Discuss Proposed since November 2023 In mathematical analysis a C0 semigroup G t t 0 is called a quasicontraction semigroup if there is a constant w such that G t exp wt for all t 0 G t is called a contraction semigroup if G t 1 for all t 0 See also editContraction operator theory Hille Yosida theorem Lumer Phillips theoremReferences editRenardy Michael Rogers Robert C 2004 An introduction to partial differential equations Texts in Applied Mathematics 13 Second ed New York Springer Verlag p xiv 434 ISBN 0 387 00444 0 MR2028503 nbsp This mathematical analysis related article is a stub You can help Wikipedia by expanding it vte Retrieved from https en wikipedia org w index php title Quasicontraction semigroup amp oldid 1185085110, wikipedia, wiki, book, books, library,
