Certain convergence results for homogeneous singular young measures

• Autorzy: Puchała Piotr

Identyfikatory

DOI

10.17512/jamcm.2023.4.04

• Języki publikacji: EN

Abstrakty

EN

We consider purely singular homogeneous Young measures associated with elements of sequences of piecewise constant functions and with limits of such sequences. We first consider a case when the limit of a such sequence is piecewise constant. The next point involves the sequences of bounded oscillating functions, divergent in the strong topology in L ∞ , but weakly∗ convergent to a homogeneous Young measure. We also present an example of a fast oscillating sequence, illustrating the result. In the presented results, generalizing to some extent known examples, we try to avoid advanced methods of functional analysis that are usually used when solving problems of this type.

Słowa kluczowe

EN

oscillating sequences; Young measures; optimization; engineering

PL

optymalizacja; miara Younga; funkcje matematyczne

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2023
• Tom: Vol. 22, nr 4
• Strony: 44--52
• Opis fizyczny: Bibliogr. 20 poz.

Twórcy

autor

Puchała Piotr

• Department of Mathematics, Czestochowa University of Technology, Czestochowa, Poland

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2024).