skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Unique continuation of solutions of differential equations with weighted derivatives

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.

Authors:
 [1]
  1. Peoples Friendship University of Russia, Moscow (Russian Federation)
Publication Date:
OSTI Identifier:
21202929
Resource Type:
Journal Article
Journal Name:
Sbornik. Mathematics
Additional Journal Information:
Journal Volume: 191; Journal Issue: 3; Other Information: DOI: 10.1070/SM2000v191n03ABEH000465; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1064-5616
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ANISOTROPY; CAUCHY PROBLEM; DIFFERENTIAL EQUATIONS; MATHEMATICAL SOLUTIONS

Citation Formats

Shananin, N A. Unique continuation of solutions of differential equations with weighted derivatives. United States: N. p., 2000. Web. doi:10.1070/SM2000V191N03ABEH000465; COUNTRY OF INPUT: INTERNATIONAL ATOMIC ENERGY AGENCY (IAEA).
Shananin, N A. Unique continuation of solutions of differential equations with weighted derivatives. United States. doi:10.1070/SM2000V191N03ABEH000465; COUNTRY OF INPUT: INTERNATIONAL ATOMIC ENERGY AGENCY (IAEA).
Shananin, N A. Sun . "Unique continuation of solutions of differential equations with weighted derivatives". United States. doi:10.1070/SM2000V191N03ABEH000465; COUNTRY OF INPUT: INTERNATIONAL ATOMIC ENERGY AGENCY (IAEA).
@article{osti_21202929,
title = {Unique continuation of solutions of differential equations with weighted derivatives},
author = {Shananin, N A},
abstractNote = {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.},
doi = {10.1070/SM2000V191N03ABEH000465; COUNTRY OF INPUT: INTERNATIONAL ATOMIC ENERGY AGENCY (IAEA)},
journal = {Sbornik. Mathematics},
issn = {1064-5616},
number = 3,
volume = 191,
place = {United States},
year = {2000},
month = {4}
}