- 4607B South Hall
One of the simplest and the most important results in elliptic theory is the maximum principle. It provides sharp estimates for the solutions to elliptic PDEs in $L^infty$ in terms of the corresponding norm of the boundary data. It holds on arbitrary domains for all (real) second order divergence form elliptic operators $- div A nabla$. The well-posedness of boundary problems in $L^p$, $p This is joint work with S. Hofmann, C. Kenig, and J. Pipher.
This is joint work with S. Hofmann, C. Kenig, and J. Pipher.