Research

My research training and interests are at the interface of Partial Differential Equations, Harmonic Analysis, and Geometric Measure Theory. 

In preparation

1. Overdetermined Boundary Value Problem for Second-order Elliptic Systems in Uniformly Rectifiable Domains, with Dorina Mitrea, Irina Mitrea, and Marius Mitrea, in preparation.

2. Overdetermined Boundary Value Problem for the Stokes System in Uniformly Rectifiable Domains, with Dorina Mitrea, Irina Mitrea, and Marius Mitrea, in preparation.

3. Fredholm Theory for Boundary Value Problems for $\Delta^3$ in Infinitesimally Flat AR Domains, with Dorina Mitrea, Irina Mitrea, and Marius Mitrea, in preparation.

4. Distinguished Coefficient Tensors for Second Order Elliptic Systems in Infinity Sector Domains, with Jeongsu Kyeong and Irina Mitrea, in preparation.