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arXiv · 1404.2967

Maximal regularity in interpolation spaces for second order Cauchy problems

Charles J. K. Batty·Ralph Chill·Sachi Srivastava
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Abstract

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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Charles J. K. Batty, Ralph Chill, Sachi Srivastava. 2014-04-10. Maximal regularity in interpolation spaces for second order Cauchy problems. https://arxiv.org/abs/1404.2967

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