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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Integration by parts on the Brownian Meander
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by Stefano Bonaccorsi and Lorenzo Zambotti PDF
Proc. Amer. Math. Soc. 132 (2004), 875-883 Request permission

Abstract:

We prove infinite-dimensional integration by parts formulae for the laws of the Brownian Meander, of the Bessel Bridge of dimension 3 between $z,z’\geq 0$ and of the Brownian Motion on the set of all paths taking values greater than or equal to a nonpositive constant. We give applications to SPDEs with reflection.
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Additional Information
  • Stefano Bonaccorsi
  • Affiliation: Dipartimento di Matematica, Università di Trento, Via Sommarive 14, 38050 Povo (Trento), Italy
  • Email: bonaccor@science.unitn.it
  • Lorenzo Zambotti
  • Affiliation: Scuola Normale Superiore, Piazza dei Cavalieri 7, 56126 Pisa, Italy
  • MR Author ID: 647350
  • Email: zambotti@sns.it
  • Received by editor(s): June 1, 2002
  • Received by editor(s) in revised form: October 28, 2002
  • Published electronically: August 28, 2003
  • Communicated by: Claudia M. Neuhauser
  • © Copyright 2003 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 132 (2004), 875-883
  • MSC (2000): Primary 60H07, 60H15, 60J55; Secondary 31C25
  • DOI: https://doi.org/10.1090/S0002-9939-03-07097-7
  • MathSciNet review: 2019968