Session S13 - Harmonic Analysis, Fractal Geometry, and Applications

Friday, July 16, 14:20 ~ 14:50 UTC-3

Boundary value problems for $p$-elliptic systems

Jill Pipher

Brown University, US   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

We discuss joint work with M. Dindos and J. Li on boundary value problems for elliptic systems, with applications to the Lam\'e systems and homogenization. This paper explores, in the context of elliptic systems, the structural condition of $p$-ellipticity that was independently introduced for complex coefficient divergence form elliptic equations by Dindos-Pipher and Carbonaro-Dragicevic.

Joint work with Martin Dindos (U. of Edinburgh) and Jungang Li (Brown University).

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