Charles J. K. Batty, Ralph Chill, Sachi Srivastava
Published 2014-04-10Version 1
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.
Sobolev inequalities, rearrangements, isoperimetry and interpolation spaces
Perturbation of Analytic Semigroups and Applications to Partial Differential Equations
Maximal $L^p$-regularity for a Class of Integro-Differential Equations
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