Quasicontraction semigroup

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.

See also

References

  • 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. ISBN 0-387-00444-0. MR2028503


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