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

DOI:
https://doi.org/10.1090/S0002-9939-03-07015-1

Published electronically:
May 22, 2003

MathSciNet review:
2021261

Full-text PDF

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

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

DOI:
https://doi.org/10.1090/S0002-9939-03-07015-1

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