Quasicontraction semigroup

From Wikipedia, the free encyclopedia

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.

[edit] See also

• Lumer-Phillips theorem

[edit] References

• Renardy, Michael; Rogers, Robert C. (2004). An introduction to partial differential equations, Second edition, Texts in Applied Mathematics 13, New York: Springer-Verlag, pp. xiv+434. ISBN 0-387-00444-0.  MR2028503