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Oscillation and concentration in sequences of PDE constrained measures

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arxiv 1912.09190 v1 pith:X4BX2NDC submitted 2019-12-19 math.AP

Jan Kristensen , Bogdan Raiţă This is my paper · ORCID
classification math.AP
keywords mathscrmeasuressequencescharacterizedconcentrationconstantconstraineddifferential
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abstract

We show that for constant rank partial differential operators $\mathscr{A}$, generalized Young measures generated by sequences of $\mathscr{A}$-free measures can be characterized by duality with $\mathscr{A}$-quasiconvex integrands of linear growth.

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  1. Characterization of generalized Young measures generated by $\mathcal A$-free measures

    math.AP 2019-08 accept novelty 8.0 of 10

    A generalized Young measure comes from A-free measures exactly when it satisfies Jensen-type inequalities for all A-quasiconvex integrands and its concentration part lies in the wave cone.

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