Quasicontraction semigroup

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In mathematics, a C0-semigroup Γ(t), t \geq 0, is called a quasicontraction semigroup if there is a constant ω such that \| \Gamma (t) \| \leq \exp ( \omega t ) for all t \geq 0. Γ(t) is called a contraction semigroup if \| \Gamma (t) \| \leq 1 for all t \geq 0.

[edit] Reference

  • Rennardy, M., & Rogers, R.C. (1992). An Introduction to Partial Differential Equations. Springer-Verlag, Berlin. ISBN 3-540-97952-2.
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