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A version of Olech\\\'s lemma in a problem of the calculus of variations

TitleA version of Olech\\\'s lemma in a problem of the calculus of variations
Publication TypeJournal Article
Year of Publication1994
AuthorsCellina, A, Zagatti, S
JournalSIAM J. Control Optim. 32 (1994) 1114-1127
Abstract

This paper studies the solutions of the minimum problem for a functional of the gradient under linear boundary conditions. A necessary and sufficient condition, based on the facial structure of the epigraph of the integrand, is provided for the continuous dependence of the solutions on boundary data.

URLhttp://hdl.handle.net/1963/3514
DOI10.1137/S0363012992234669

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