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Existence of solutions to projected differential equations in Hilbert spaces
Author(s):
Monica-Gabriela
Cojocaru;
Leo
B.
Jonker
Journal:
Proc. Amer. Math. Soc.
132
(2004),
183-193.
MSC (2000):
Primary 34A12, 34A36;
Secondary 34A60, 49J40
Posted:
May 22, 2003
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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.
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
DOI:
10.1090/S0002-9939-03-07015-1
PII:
S 0002-9939(03)07015-1
Received by editor(s):
June 27, 2002
Received by editor(s) in revised form:
September 9, 2002
Posted:
May 22, 2003
Communicated by:
Carmen C. Chicone
Copyright of article:
Copyright
2003,
American Mathematical Society
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