Using the concept of well-posedness under perturbations we give an answer to the following question posed by Stanislaw Ulam : "when it is true that solutions of two problems in the calculus of variations which corresponds to "close" physical data must be close to each other?" ("A collection of mathematical problems", 1960). © 2006 International Federation for Information Processing.
On a variational problem of Ulam
Villa, S.
2006-01-01
Abstract
Using the concept of well-posedness under perturbations we give an answer to the following question posed by Stanislaw Ulam : "when it is true that solutions of two problems in the calculus of variations which corresponds to "close" physical data must be close to each other?" ("A collection of mathematical problems", 1960). © 2006 International Federation for Information Processing.
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