Certain convergence results for homogeneous young measures with densities

• Autorzy: Puchała Piotr

Identyfikatory

DOI

10.17512/jamcm.2024.4.09

• Języki publikacji: EN

Abstrakty

EN

We consider Young measures associated with elements of sequences of m-oscillating functions. Such Young measures are homogeneous and absolutely continuous with respect to the Lebesgue measure. The total slope of an m-oscillating function is defined, and the basic property of a set of Young measures associated with m-oscillating functions is stated. Next, the relation between weak L1 convergence of densities and weak convergence, with respect to the total variation norm, of respective Young measures is investigated. The last result unifies and generalizes most examples of Young measures usually presented in the literature.

Słowa kluczowe

EN

engineering; oscillating sequences; total slope; Young measures

PL

inżynieria; sekwencje oscylacyjne; całkowity nachylenie; miara Younga

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2024
• Tom: Vol. 23, nr 4
• Strony: 101--111
• Opis fizyczny: Bibliogr. 18 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 POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025).