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Professor Charles Batty
MA, MSc, DPhil
- Professor of Analysis
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Fellow and Tutor in Mathematics, St John's College. My place of work is in St John's, Room F3/3
eMail:
charles [dot] batty [-at-] sjc [dot] ox [dot] ac [dot] uk
Contact Form
Phone Number(s):
Reception/Secretary: +44 1865 273525
Direct: +44 1865 277375
Preferred Address:
St John's College
St Giles
Oxford OX1 3JP
England
Departmental Address:
Mathematical Institute
24-29 St Giles'
Oxford
OX1 3LB
England
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Research Interests:
Unbounded operators and abstract differential equations; differential operators; operator algebras.
Recent Publications (from MathSciNet):
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MR2872472 Reviewed Batty, Charles; Mubeen, Junaid; Vörös, Imre Bounded $H^\infty$H^\infty-calculus for strip-type operators.
Integral Equations Operator Theory 72 (2012), no. 2, 159–178. (Reviewer: László Kérchy) 47A60 (34G10 47D06)
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MR2798103 Reviewed Arendt, Wolfgang; Batty, Charles J. K.; Hieber, Matthias; Neubrander, Frank Vector-valued Laplace transforms and Cauchy problems.
Second edition.
Monographs in Mathematics, 96. Birkhäuser/Springer Basel AG, Basel, 2011. xii+539 pp. ISBN: 978-3-0348-0086-0 47D06 (35A22 35K15 35L15 35S10 44A10 47N20)
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MR2607270 Reviewed Batty, Charles J. K.; Król, Sebastian Perturbations of generators of $C_0$C_0-semigroups and resolvent
decay.
J. Math. Anal. Appl. 367 (2010), no. 2, 434–443. (Reviewer: Ralph Chill) 47D06
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MR2606877 Reviewed Batty, Charles J. K.; Tomilov, Yuri Quasi-hyperbolic semigroups.
J. Funct. Anal. 258 (2010), no. 11, 3855–3878. (Reviewer: Roland Schnaubelt) 47D06
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MR2603795 Reviewed Batty, Charles Unbounded operators: functional calculus, generation,
perturbations.
Extracta Math. 24 (2009), no. 2, 99–133. (Reviewer: Pierre Portal) 47A60 (47A55 47D06 47D09)
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MR2460938 Reviewed Batty, Charles J. K.; Duyckaerts, Thomas Non-uniform stability for bounded semi-groups on Banach spaces.
J. Evol. Equ. 8 (2008), no. 4, 765–780. (Reviewer: Ralph Chill) 47D06
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MR2457487 Reviewed Batty, Charles J. K.; Chill, Ralph; Srivastava, Sachi Maximal regularity for second order non-autonomous Cauchy
problems.
Studia Math. 189 (2008), no. 3, 205–223. (Reviewer: Pierre Portal) 34G10 (35B65 35L90 47D09 47N20)
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MR2341363 Reviewed Perspectives in operator theory.
Papers from the Workshop "Operator Theory'' held in Warsaw, April
19–May 3, 2004.
Edited by Wolfgang Arendt, Charles J. K. Batty, Mostafa Mbekhta, Yuri
Tomilov and Jaroslav Zemánek.
Banach Center Publications, 75. Polish Academy of Sciences, Institute of Mathematics, Warsaw, 2007. 330 pp. 47-06 (47A60 47Dxx 47N70)
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MR2336710 Reviewed Batty, Charles J. K. Differentiability of perturbed semigroups and delay semigroups.
Perspectives in operator theory,
39–53, Banach Center Publ., 75, Polish Acad. Sci., Warsaw, 2007. (Reviewer: Fabrizio Colombo) 47D06 (34G10 47A10 47A55 47N70 93C15)
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MR2336709 Reviewed Arendt, Wolfgang; Batty, Charles J. K. Forms, functional calculus, cosine functions and perturbation.
Perspectives in operator theory,
17–38, Banach Center Publ., 75, Polish Acad. Sci., Warsaw, 2007. (Reviewer: Atsushi Yagi) 47A60 (34G10 35L90 47D06 47D09 47N20)
More publications
Further Details:
I was the coordinator of the Oxford node of an EU Programme on Operator Theory Methods for Differential Equations (TODEQ) based at the Mathematical Institute of the Polish Academy of Sciences (2006-10). Since June 2008 I have been one of the two Editors of the Journal of the London Mathematical Society, having previously been an Editorial Adviser for the main journals of the LMS.
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