Oscillation and concentration effects described by Young measures which control discontinuous functions
Keywords
Young measures, DiPerna-Majda measures, weak convergence, discontinuous functionsAbstract
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].Downloads
Published
2008-03-01
How to Cite
1.
KAŁAMAJSKA, Agnieszka. Oscillation and concentration effects described by Young measures which control discontinuous functions. Topological Methods in Nonlinear Analysis. Online. 1 March 2008. Vol. 31, no. 1, pp. 111 - 138. [Accessed 24 April 2024].
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