## 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.## References

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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