Fundamental solutions for second-order parabolic systems with drift terms

Hongjie Dong; Seick Kim

doi:10.1090/proc/14004

Fundamental solutions for second-order parabolic systems with drift terms

Hongjie Dong, Seick Kim

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

7 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.

Original language	English
Pages (from-to)	3019-3029
Number of pages	11
Journal	Proceedings of the American Mathematical Society
Volume	146
Issue number	7
DOIs	https://doi.org/10.1090/proc/14004
Publication status	Published - 2018 Jul

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© 2018 American Mathematical Society.

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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title = "Fundamental solutions for second-order parabolic systems with drift terms",

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 BMOx−1, under the assumption that weak solutions of the system satisfy a certain local boundedness estimate.",

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author = "Hongjie Dong and Seick Kim",

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AU - Kim, Seick

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N2 - 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 BMOx−1, under the assumption that weak solutions of the system satisfy a certain local boundedness estimate.

AB - 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 BMOx−1, under the assumption that weak solutions of the system satisfy a certain local boundedness estimate.

KW - Fundamental solution

KW - Gaussian estimate

KW - Second order parabolic system

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JF - Proceedings of the American Mathematical Society

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Fundamental solutions for second-order parabolic systems with drift terms

Abstract

Bibliographical note

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