Approximation theorems for the propagators of higher order abstract Cauchy problems

Liang, Jin; Nagel, Rainer; Xiao, Ti-Jun

doi:10.1090/S0002-9947-07-04551-5

Approximation theorems for the propagators of higher order abstract Cauchy problems
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by Jin Liang, Rainer Nagel and Ti-Jun Xiao PDF

Trans. Amer. Math. Soc. 360 (2008), 1723-1739 Request permission

Abstract:

In this paper, we present two quite general approximation theorems for the propagators of higher order (in time) abstract Cauchy problems, which extend largely the classical Trotter-Kato type approximation theorems for strongly continuous operator semigroups and cosine operator functions. Then, we apply the approximation theorems to deal with the second order dynamical boundary value problems.

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