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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 2022 Volume 111, Issue 6, Pages 921–928 (Mi mzm13560)

This article is cited in 2 papers

On the Continuation of Solutions of Linear Equations with Analytic Coefficients

N. A. Shananin

State University of Management, Moscow

Abstract: In the tangent space, the principal symbol of the considered class of linear differential equations with analytic coefficients determines a bundle such that, on each of its integral lines, the germ of a generalized solution at one of the points uniquely determines the germs of the solution at all other points. The cases of holonomic and nonholonomic induces distributions are considered.

Keywords: unique continuation, solution germ.

UDC: 517

Received: 17.01.2022

DOI: 10.4213/mzm13560


 English version:
Mathematical Notes, 2022, 111:6, 954–960

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© Steklov Math. Inst. of RAS, 2026