Zusammenfassung für den Vortrag am 13.11.2007 (16:45 Uhr)

Oberseminar ANALYSIS

Michalis Kontovourkis (MPI MIS, Leipzig)

A regularity result for elliptic equations with low-regularity divergence-free coefficients

We study the equation formula15 for divergence-free vector fields formula17 with low regularity. Classical theory for general (not necessarily divergence-free) formula17 requires at least formula21. It has been known for some time that for divergence-free coefficients, one can get results when formula23. We show that for formula25 one can even go below the exponent n/2, and formula29 is sufficient.

 

06.06.2018, 07:19