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

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

2007-05-13

arxiv.org/abs/0705.1855v1

Indiana Univ. Math. J. 57 (2008) no. 4, pp. 1633--1678.

Mathematics

Analysis of PDEs

33 pages

Scientific paper

10.1512/iumj.2008.57.3293

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\"{o}lder continuity estimate. We present a
unified approach valid for both the scalar and the vectorial cases.

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