The forward maximal regularity operator commutes with the backward

2023/05/07 by Huang, Yi C.
#35K90 (Primary) #42A38 #47A60 (Secondary) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2305.04209

Abstract

Given a generator of a bounded analytic semigroup on a Hilbert space, we show that the corresponding forward maximal regularity operator commutes with the backward. In particular, for self-adjoint generators the images under the two maximal regularity operators have equal unweighted Hilbert space norms.

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