03-10 | Berichtsreihe des Mathematischen Seminars der Universität Kiel | |
Peter Kosmol, Dieter Müller-Wichards:Convexification of variational problemsIn this paper we describe an approach to variational problems that uses the idea of the Equivalent Problems of Caratheodory employing suitable supplements to the original minimization problem. Whereas Caratheodory constructs equivalent problems by use of solutions of the Hamilton-Jacobi partial differential equations, we shall demonstrate that explicitly given quadratic supplements are sufficient to yield the main results.Keywords: Variational problems, convexification,point-wise minimization, necessary and sufficient conditions, weak and strong local minima, extremals and extremaloids, equivalent problems, linear and quadratic supplements
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[Thu Feb 19 18:56:36 2009] |
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