Tuesday, January 28, 2020 - 14:15 in V5-148
Calderon-Zygmund estimates for nonlinear equations with discontinuous coefficients
A talk in the BI.discrete series by
Anna Khripunova-Balci
| Abstract: |
In recent years Calderon-Zygmund type regularity estimates
were established for solutions of different classes of linear weighed degenerate elliptic problems with matrix coefficients.
For non-linear setting with matrix-valued weights, the results
known till now do not allow degenerate weights.
We establish new kind of condition: Instead of a BMO smallness condition
for the weight, we use a BMO smallness condition on its logarithm, which
is new even for the linear case. This allows us as well to include
degenerate weights and to get the local higher integrability of weak
solutions.
The talk is based on joint work with Lars Diening, Raffaella Giova and Antonia Passarelli di Napoli.
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