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Automatic extensions of local regularized semigroups and local regularized cosine functions. (English) Zbl 0916.47031

Summary: This paper establishes automatic extensions for local regularized semigroups and local regularized cosine functions in a certain sense and applies the results to abstract Cauchy problems.

MSC:

47D06 One-parameter semigroups and linear evolution equations
47D09 Operator sine and cosine functions and higher-order Cauchy problems
47F05 General theory of partial differential operators
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