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Existence of solutions to projected differential equations in Hilbert spaces |
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| Authors: | Monica-Gabriela Cojocaru Leo B Jonker |
| Institution: | Department of Mathematics and Statistics, Jeffery Hall, Room 207, Queen's University, Kingston, Ontario, Canada K7M 2W8 ; Department of Mathematics and Statistics, Jeffery Hall, Room 508, Queen's University, Kingston, Ontario, Canada K7M 2W8 |
| 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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