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Unique continuation of solutions of differential equations with weighted derivatives

Journal Article · · Sbornik. Mathematics
 [1]
  1. Peoples Friendship University of Russia, Moscow (Russian Federation)

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.

OSTI ID:
21202929
Journal Information:
Sbornik. Mathematics, Journal Name: Sbornik. Mathematics Journal Issue: 3 Vol. 191; ISSN 1064-5616
Country of Publication:
United States
Language:
English

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