Oscillation and concentration effects described by Young measures which control discontinuous functions
Słowa kluczowe
Young measures, DiPerna-Majda measures, weak convergence, discontinuous functionsAbstrakt
We study oscillation and concentration effects for sequences of compositions $\{ f(u^\nu)\}_{\nu\in\mathbb N}$ of $\mu$-measurable functions $u^\nu\colon \Omega\rightarrow{\mathbb R}^{m}$ where $\Omega$ is the compact subset of ${\mathbb R}^n$ and $f$ is the (possibly) discontinuous function. The limits are described in terms of Young measures which can control discontinuous functions recently introduced in [A. Kałamajska, < i> On Young measures controlling discontinuous functions< /i> , J. Conv. Anal. < b> 13< /b> (2006), no. 1, 177–192].Pobrania
Opublikowane
2008-03-01
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1.
KAŁAMAJSKA, Agnieszka. Oscillation and concentration effects described by Young measures which control discontinuous functions. Topological Methods in Nonlinear Analysis [online]. 1 marzec 2008, T. 31, nr 1, s. 111–138. [udostępniono 22.7.2024].
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