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Sums of commuting operators with maximal regularity. (English) Zbl 0996.47050

The authors consider the generators \(-B\) and \(-C\) of two commuting bounded analytic semigroups on a Banach space satisfying both the maximal regularity property. They give conditions such that the sum \(B+C\) is closed and also has the maximal regularity property.

MSC:

47D06 One-parameter semigroups and linear evolution equations
47A60 Functional calculus for linear operators
46M05 Tensor products in functional analysis
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