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 Morrey-Campanato type local H\"older continuity estimates.
As an application, we also obtain existence, uniqueness, and pointwise estimates of the Green's matrices for elliptic systems in two dimensional domains. This talk is based on joint work with S. Kim and S. Cho.

Lecture #12430

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