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Maximal regularity in interpolation spaces for second order Cauchy problems

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.

Publication status:: Published

Peer review status:: Peer reviewed

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APA Style

Batty, C., Chill, R., & Srivastava, S. (2015). Maximal regularity in interpolation spaces for second order Cauchy problems (Vol. 250, pp. 49–66). Springer International Publishing.

MLA Style

Batty, C., et al. Maximal Regularity in Interpolation Spaces for Second Order Cauchy Problems. Springer International Publishing, 2015, pp. 49–66.

Chicago Style

Batty, C, R Chill, and S Srivastava. 2015. “Maximal Regularity in Interpolation Spaces for Second Order Cauchy Problems.” In , 250:49–66. Springer International Publishing.
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Publisher copy:: 10.1007/978-3-319-18494-4_4

Authors

+ Batty, C More by this author

Institution:

University of Oxford

Division:

MPLS

Department:

Mathematical Institute

Role:

Author

+ Chill, R More by this author

Role:

Author

+ Srivastava, S More by this author

Role:

Author

Bibliographic Details

Publisher:: Springer International Publishing Publisher's website
Host title:: Operator Semigroups Meet Complex Analysis, Harmonic Analysis and Mathematical Physics
Volume:: 250
Pages:: 49-66
Publication date:: 2015-01-01
DOI:: 10.1007/978-3-319-18494-4_4
ISSN:: 0255-0156
ISBN:: 9783319184937

Item Description

Keywords:: interpolation spaces

Cauchy problems

maximal regularity

second order
Pubs id:: pubs:462818
UUID:: uuid:6b502de5-9f83-463f-81cd-54ddf847cd52
Local pid:: pubs:462818
Source identifiers:: 462818
Deposit date:: 2016-10-20

Terms of use

Copyright holder:: Springer International Publishing Switzerland
Copyright date:: 2015

Licence:: Terms and Conditions of Use for Oxford University Research Archive

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