On the Green's matrices of strongly parabolic systems of second order
Analysis of PDEs
2008-08-29 v1
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\"{o}lder continuity estimate. We present a unified approach valid for both the scalar and the vectorial cases.
Keywords
Cite
@article{arxiv.0705.1855,
title = {On the Green's matrices of strongly parabolic systems of second order},
author = {Sungwon Cho and Hongjie Dong and Seick Kim},
journal= {arXiv preprint arXiv:0705.1855},
year = {2008}
}
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33 pages