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

Sungwon Cho, Hongjie Dong, Seick Kim

Research output: Contribution to journalArticle

14 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 languageEnglish
Pages (from-to)1633-1677
Number of pages45
JournalIndiana University Mathematics Journal
Volume57
Issue number4
DOIs
Publication statusPublished - 2008 Oct 22

Fingerprint

Green's Matrix
Parabolic Systems
Fundamental Matrix
Estimate
Divergence
Interior
Scalar
Valid
Arbitrary
Form

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

@article{c0c459dda1174d0b9575b464f9f54c71,
title = "On the Green's matrices of strongly parabolic systems of second order",
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.",
author = "Sungwon Cho and Hongjie Dong and Seick Kim",
year = "2008",
month = "10",
day = "22",
doi = "10.1512/iumj.2008.57.3293",
language = "English",
volume = "57",
pages = "1633--1677",
journal = "Indiana University Mathematics Journal",
issn = "0022-2518",
publisher = "Indiana University",
number = "4",

}

On the Green's matrices of strongly parabolic systems of second order. / Cho, Sungwon; Dong, Hongjie; Kim, Seick.

In: Indiana University Mathematics Journal, Vol. 57, No. 4, 22.10.2008, p. 1633-1677.

Research output: Contribution to journalArticle

TY - JOUR

T1 - On the Green's matrices of strongly parabolic systems of second order

AU - Cho, Sungwon

AU - Dong, Hongjie

AU - Kim, Seick

PY - 2008/10/22

Y1 - 2008/10/22

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=54049086561&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=54049086561&partnerID=8YFLogxK

U2 - 10.1512/iumj.2008.57.3293

DO - 10.1512/iumj.2008.57.3293

M3 - Article

AN - SCOPUS:54049086561

VL - 57

SP - 1633

EP - 1677

JO - Indiana University Mathematics Journal

JF - Indiana University Mathematics Journal

SN - 0022-2518

IS - 4

ER -