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Existence of solutions to projected differential equations in Hilbert spaces

Authors: Monica-Gabriela Cojocaru and Leo B. Jonker
Journal: Proc. Amer. Math. Soc. 132 (2004), 183-193
MSC (2000): Primary 34A12, 34A36; Secondary 34A60, 49J40
Published electronically: May 22, 2003
MathSciNet review: 2021261
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Abstract | References | Similar Articles | Additional Information

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

Leo B. Jonker
Affiliation: Department of Mathematics and Statistics, Jeffery Hall, Room 508, Queen’s University, Kingston, Ontario, Canada K7M 2W8

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
Article copyright: © Copyright 2003 American Mathematical Society