This article is cited in 14 papers

Unique continuation of solutions of differential equations with weighted derivatives

N. A. Shananin

Peoples Friendship University of Russia

Abstract: The paper contains a generalization of Calderon's theorem on the local uniqueness of the solutions of the Cauchy problem for differential equations with weighted derivatives. Anisotropic estimates of Carleman type are obtained. A class of differential equations with weighted derivatives is distinguished in which germs of solutions have unique continuation with respect to part of the variables.

UDC: 517.85

MSC: Primary 35A07, 35G10; Secondary 35SXX

Received: 20.01.1999 and 18.08.1999

DOI: 10.4213/sm465

 English version: Sbornik: Mathematics, 2000, 191:3, 431–458

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