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Zapiski Nauchnykh Seminarov POMI, 2020, Volume 489, Pages 7–35 (Mi znsl6917)  
This article is cited in 2 scientific papers (total in 2 papers)

Estimates of the fundamental solution for an elliptic equation in divergence form with drift

Yu. A. Alkhutova, M. D. Surnachevbc

a Vladimir State University
b Keldysh Institute of Applied Mathematics of Russian Academy of Sciences, Moscow
c National University of Science and Technology «MISIS», Moscow
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Abstract: For a second-order linear divergence-form elliptic equation with uniformly elliptic measurable principal coefficients and with drift we establish a condition on lower order coefficients that guarantees classical two-sided bounds of the fundamental solution.
Key words and phrases: convection-diffusion, drift, fundamental solution, Green's function, Kato class.
Received: 09.01.2020
Document Type: Article
UDC: 517
Language: Russian
Citation: Yu. A. Alkhutov, M. D. Surnachev, “Estimates of the fundamental solution for an elliptic equation in divergence form with drift”, Boundary-value problems of mathematical physics and related problems of function theory. Part 48, Zap. Nauchn. Sem. POMI, 489, POMI, St. Petersburg, 2020, 7–35
Citation in format AMSBIB
\Bibitem{AlkSur20}
\by Yu.~A.~Alkhutov, M.~D.~Surnachev
\paper Estimates of the fundamental solution for an elliptic equation in divergence form with drift
\inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~48
\serial Zap. Nauchn. Sem. POMI
\yr 2020
\vol 489
\pages 7--35
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6917}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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