Maximal regularity in interpolation spaces for second order Cauchy problems
Batty, Charles J. K. · Chill, Ralph · Srivastava, Sachi
Functional Analysis
Analysis of PDEs
Dynamical Systems
Primary 34G10, 47D09, 35B65, Secondary 35L10, 35K10, 35K90
الأصل · EN
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 Hölder maximal regularity for complete second order Cauchy problems under natural parabolicity assumptions. We discuss applications to partial differential equations.
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