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

Sungwon Cho; Hongjie Dong; Seick Kim

doi:10.1512/iumj.2008.57.3293

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

Sungwon Cho, Hongjie Dong, Seick Kim

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

22 Citations (Scopus)

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
Pages (from-to)	1633-1677
Number of pages	45
Journal	Indiana University Mathematics Journal
Volume	57
Issue number	4
DOIs	https://doi.org/10.1512/iumj.2008.57.3293
Publication status	Published - 2008

All Science Journal Classification (ASJC) codes

Mathematics(all)

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10.1512/iumj.2008.57.3293

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

Abstract

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