Growth Estimates for Semigroups Generated by 2Sx2 Operator Matrices |
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| Authors: | Klaus-J. Engel |
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| Affiliation: | 1. Mathematisches Insitut, Universit?t Tübingen, Auf der Morgenstelle 10, D-7400, Tübingen, FRG
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| Abstract: | In this paper we give an explicit formula for semigroups generated by 2×2 operator matrices. Using this formula we can derive an estimate for the growth bound of the associated matrix generator. Finally these results are applied to a complete second order Cauchy problem yielding an explicit formula and a growth estimate for the solution of this problem. |
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