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.
Original language | English |
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Pages (from-to) | 1633-1677 |
Number of pages | 45 |
Journal | Indiana University Mathematics Journal |
Volume | 57 |
Issue number | 4 |
DOIs | |
Publication status | Published - 2008 |
All Science Journal Classification (ASJC) codes
- Mathematics(all)