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

27 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

General Mathematics

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10.1512/iumj.2008.57.3293

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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.",

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author = "Sungwon Cho and Hongjie Dong and Seick Kim",

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AU - Cho, Sungwon

AU - Dong, Hongjie

AU - Kim, Seick

PY - 2008

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AB - 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.

KW - Fundamental matrix

KW - Fundamental solution

KW - Gaussian estimate

KW - Green function

KW - Green's matrix

KW - Second order parabolic system

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JO - Indiana University Mathematics Journal

JF - Indiana University Mathematics Journal

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

Abstract

All Science Journal Classification (ASJC) codes

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