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Proceedings of the American Mathematical Society

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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