On the Green's matrices of strongly parabolic systems of second order
arXiv:0705.1855 · doi:10.1512/iumj.2008.57.3293
Abstract
We establish existence and various estimates of fundamental matrices and Green's matrices for divergence form, second order strongly parabolic systems in arbitrary cylindrical domains under the assumption that solutions of the systems satisfy an interior Hölder continuity estimate. We present a unified approach valid for both the scalar and the vectorial cases.
33 pages