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

• Autores: Sungwon Cho, Hongjie Dong, Seick Kim
• Localización: Indiana university mathematics journal, ISSN 0022-2518, Vol. 57, Nº 4, 2008, págs. 1633-1678
• Idioma: inglés
• DOI: 10.1512/iumj.2008.57.3293
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• Resumen

  • 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.