Maximal regularity in interpolation spaces for second order Cauchy problems
Functional Analysis
2014-04-14 v1 Analysis of PDEs
Dynamical Systems
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 H\"older maximal regularity for complete second order Cauchy problems under natural parabolicity assumptions. We discuss applications to partial differential equations.
Cite
@article{arxiv.1404.2967,
title = {Maximal regularity in interpolation spaces for second order Cauchy problems},
author = {Charles J. K. Batty and Ralph Chill and Sachi Srivastava},
journal= {arXiv preprint arXiv:1404.2967},
year = {2014}
}
Comments
18 pages