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.
Oscillation and concentration in sequences of PDE constrained measures
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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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2019 1verdicts
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Characterization of generalized Young measures generated by $\mathcal A$-free measures
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.