Seminar Analysis: Albert Clop (UAB Barcelona)

BMO, quasiconformal maps, and transport equations

We will explain two results about (linear and nonlinear) transport equations, quasiconformal maps, and vector fields with unbounded divergence. Originally, these results are motivated by a difficult problem on Muckenhoupt weights and elliptic PDE. However, classical harmonic analysis tools allow to reformulate this problem in variational BMO terms, and then a theorem by H. M. Reimann brings naturally the connection to the transport theory. 

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