IUMJ

Title: On the Green's matrices of strongly parabolic systems of second order

Authors: Sungwon Cho, Hongjie Dong and Seick Kim

Issue: Volume 57 (2008), Issue 4, 1633-1678

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 H\"older continuity estimate. We present a unified approach valid for both the scalar and the vectorial cases.