Fundamental solutions for second-order parabolic systems with drift terms

Hongjie Dong, Seick Kim

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

We construct fundamental solutions of second-order parabolic systems of divergence form with bounded and measurable leading coefficients and divergence free first-order coefficients in the class of BMO x −1 , under the assumption that weak solutions of the system satisfy a certain local boundedness estimate. We also establish Gaussian upper bounds for such fundamental solutions under the same conditions

Original languageEnglish
Pages (from-to)3019-3029
Number of pages11
JournalProceedings of the American Mathematical Society
Volume146
Issue number7
DOIs
Publication statusPublished - 2018 Jul 1

Fingerprint

Second-order Systems
Parabolic Systems
Fundamental Solution
Divergence-free
Coefficient
Term
Weak Solution
Boundedness
Divergence
Upper bound
First-order
Estimate
Class
Form

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

Cite this

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Fundamental solutions for second-order parabolic systems with drift terms. / Dong, Hongjie; Kim, Seick.

In: Proceedings of the American Mathematical Society, Vol. 146, No. 7, 01.07.2018, p. 3019-3029.

Research output: Contribution to journalArticle

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