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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2020 Volume 489, Pages 7–35 (Mi znsl6917)

This article is cited 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

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.

UDC: 517

Received: 09.01.2020



© Steklov Math. Inst. of RAS, 2024