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Mat. Zametki, 2024 Volume 115, Issue 4, Pages 619–625 (Mi mzm14098)

To the Continuation of Germs of Solutions

N. A. Shananin

State University of Management, Moscow

Abstract: In the note, by a model example of a linear partial differential equation, it is demonstrated how the properties of continuation of germs of generalized solutions are changed depending on the type of differential system generated by the principal real analytical symbol of the equation and on the membership of the infinitely differentiable coefficient at the lowest term of the equation to the class of real analytical functions.

Keywords: unique continuation, germ of a solution.

UDC: 517

MSC: 35A02

Received: 08.07.2023

DOI: 10.4213/mzm14098


 English version:
Mathematical Notes, 2024, 115:4, 630–635

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© Steklov Math. Inst. of RAS, 2025