On the Green's Matrices of Strongly Parabolic Systems of Second Order

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...

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Veröffentlicht in:	Indiana University mathematics journal 2008-01, Vol.57 (4), p.1633-1677
Hauptverfasser:	Cho, Sungwon, Dong, Hongjie, Kim, Seick
Format:	Artikel
Sprache:	eng
Schlagworte:	Coefficients Elliptic equations Exact sciences and technology General mathematics General, history and biography Greens function Mathematical analysis Mathematical functions Mathematics Matrices Partial differential equations Property ownership Scalars Sciences and techniques of general use Uniqueness
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Beschreibung
Zusammenfassung:	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.
ISSN:	0022-2518 1943-5258
DOI:	10.1512/iumj.2008.57.3293