Abstract
The paper is devoted to the theory of classical Young measures. It focuses on the situation where a sequence of rapidly oscillating functions has uniform representation in a sense that is defined in this article. There is stated a proposision characterizing the Young measures generated by such a class of sequences. This characterization enables one to find an explicit formulae for the density functions of these generated measures as well as the computations of the values of the related Young functionals. Examples of possible applications of the new results are presented as well.
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Grzybowski, A.Z., Puchała, P. (2019). Classical Young Measures Generated by Oscillating Sequences with Uniform Representation. In: Ao, SI., Kim, H., Amouzegar, M. (eds) Transactions on Engineering Technologies. WCECS 2017. Springer, Singapore. https://doi.org/10.1007/978-981-13-2191-7_1
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DOI: https://doi.org/10.1007/978-981-13-2191-7_1
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