On a differential inclusion related to the Born-Infeld equations

Details On a differential inclusion related to the Born-Infeld equations On a differential inclusion related to the Born-Infeld equations

2012-01-20

arxiv.org/abs/1201.4244v1

Mathematics

Analysis of PDEs

Scientific paper

We adapt the well-known method of convex integration to the setting of
divergence free fields in order to find solenoidal maps taking values in a
prescribed set of matrices and with a prescribed average. As an application we
study a partial differential relation arising in the study of the Born-Infeld
equations.

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