Maximal regularity in interpolation spaces for second order Cauchy problems

Charles J. K. Batty; Ralph Chill; Sachi Srivastava

arxiv: 1404.2967 · v1 · pith:XN3RIV74new · submitted 2014-04-10 · 🧮 math.FA · math.AP· math.DS

Maximal regularity in interpolation spaces for second order Cauchy problems

Charles J. K. Batty , Ralph Chill , Sachi Srivastava This is my paper

classification 🧮 math.FA math.APmath.DS

keywords maximalregularitycauchyinterpolationorderproblemssecondspaces

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We study maximal regularity in interpolation spaces for the sum of three closed linear operators on a Banach space, and we apply the abstract results to obtain Besov and H\"older maximal regularity for complete second order Cauchy problems under natural parabolicity assumptions. We discuss applications to partial differential equations.

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Maximal regularity in interpolation spaces for second order Cauchy problems

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