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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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Existence of solutions to projected differential equations in Hilbert spaces
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by Monica-Gabriela Cojocaru and Leo B. Jonker PDF
Proc. Amer. Math. Soc. 132 (2004), 183-193 Request permission

Abstract:

We prove existence and uniqueness of integral curves to the (discontinuous) vector field that results when a Lipschitz continuous vector field on a Hilbert space of any dimension is projected on a non-empty, closed and convex subset.
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Additional Information
  • Monica-Gabriela Cojocaru
  • Affiliation: Department of Mathematics and Statistics, Jeffery Hall, Room 207, Queen’s University, Kingston, Ontario, Canada K7M 2W8
  • Address at time of publication: Department of Mathematics and Statistics, Room 536 MacNaughton Building, University of Guelph, Guelph, Ontario, Canada N1G 2W1
  • Email: monica@mast.queensu.ca
  • Leo B. Jonker
  • Affiliation: Department of Mathematics and Statistics, Jeffery Hall, Room 508, Queen’s University, Kingston, Ontario, Canada K7M 2W8
  • Email: leo@mast.queensu.ca
  • Received by editor(s): June 27, 2002
  • Received by editor(s) in revised form: September 9, 2002
  • Published electronically: May 22, 2003
  • Communicated by: Carmen C. Chicone
  • © Copyright 2003 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 132 (2004), 183-193
  • MSC (2000): Primary 34A12, 34A36; Secondary 34A60, 49J40
  • DOI: https://doi.org/10.1090/S0002-9939-03-07015-1
  • MathSciNet review: 2021261