Maximal regularity for second order non-autonomous Cauchy problems

Research output: Contribution to journal › Research article › Contributed › peer-review

Contributors

  • Charles Batty - , University of Oxford (Author)
  • Ralph Chill - , Universite de Metz (Author)
  • Sachi Srivastava - , University of Delhi (Author)

Abstract

We consider some non-autonomous second order Cauchy problems of the form ü + B(t)̇ + A(t)u = f (t ∈ [0, T]), u(0) = ̇(0) = 0. We assume that the first order problem ü + B(t)u = f (t∈ [0, T]), u(0) = 0, has Lp-maximal regularity. Then we establish Lp-maximal regularity of the second order problem in situations when the domains of B(t1) and A(t2) always coincide, or when A(t) = κB(t).

Details

Original languageEnglish
Pages (from-to)205-223
JournalStudia Mathematica
Volume189
Issue number3
Publication statusPublished - 2008
Peer-reviewedYes
Externally publishedYes

External IDs

ORCID /0000-0002-6854-0586/work/144109092
Scopus 58149262812

Keywords

Library keywords