Oscillation and concentration in sequences of PDE constrained measures

Jan Kristensen; Bogdan Raiţă

doi:10.1007/s00205-022-01828-7

Oscillation and concentration in sequences of PDE constrained measures

Analysis of PDEs 2022-11-15 v1

Authors: Jan Kristensen , Bogdan Raiţă

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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.

Keywords

oscillation concentration pde constrained measures constant rank operators generalized young measures a-free measures a-quasiconvex integrands

Cite

@article{arxiv.1912.09190,
  title  = {Oscillation and concentration in sequences of PDE constrained measures},
  author = {Jan Kristensen and Bogdan Raiţă},
  journal= {arXiv preprint arXiv:1912.09190},
  year   = {2022}
}

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20 pages

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