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Minimization under entropy conditions, with applications in lower bound problems
Växjö University, Faculty of Mathematics/Science/Technology, School of Mathematics and Systems Engineering. (Matematisk modellering)ORCID iD: 0000-0003-1921-8168
2004 (English)In: Journal of Mathematical Physics, ISSN 0022-2488, E-ISSN 1089-7658, Vol. 45, 3216-3227 p.Article in journal (Refereed) Published
Abstract [en]

We minimize the functional f↦ ∫  afdμ under the entropy condition E(f) = − ∫  f log fdμ ≥ E, ∫  fdμ = 1 and f ≥ 0, where E ∊ R is fixed. We prove that the minimum is attained for fesa/ ∫  esadμ, where s ∊ R is chosen such that E(f) = E. We apply the result on minimizing problems in pseudodifferential calculus, where we minimize the harmonic oscillator.

Place, publisher, year, edition, pages
2004. Vol. 45, 3216-3227 p.
National Category
Mathematical Analysis
Research subject
Natural Science, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-8514DOI: 10.1063/1.1767623OAI: oai:DiVA.org:lnu-8514DiVA: diva2:352156
Projects
Matematisk modellering
Available from: 2010-09-18 Created: 2010-09-18 Last updated: 2017-01-11Bibliographically approved

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Toft, Joachim
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