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

Title: Ray Expansions and Identities for Second Order Equations. Applications to Inverse Problems

Abstract

We develop a new method for studying inverse problems of mathematical physics by using systems of equations of ray expansion of solutions to parabolic and hyperbolic equations with variable coefficients.

Authors:
;  [1]
  1. Sobolev Institute of Mathematics SB RAS (Russian Federation)
Publication Date:
OSTI Identifier:
22771216
Resource Type:
Journal Article
Journal Name:
Journal of Mathematical Sciences
Additional Journal Information:
Journal Volume: 231; Journal Issue: 2; Other Information: Copyright (c) 2018 Springer Science+Business Media, LLC, part of Springer Nature; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1072-3374
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; EQUATIONS; MATHEMATICAL MODELS; MATHEMATICAL SOLUTIONS

Citation Formats

Anikonov, Yu. E., E-mail: anikon@math.nsc.ru, and Ayupova, N. B., E-mail: ayupova@math.nsc.ru. Ray Expansions and Identities for Second Order Equations. Applications to Inverse Problems. United States: N. p., 2018. Web. doi:10.1007/S10958-018-3809-X.
Anikonov, Yu. E., E-mail: anikon@math.nsc.ru, & Ayupova, N. B., E-mail: ayupova@math.nsc.ru. Ray Expansions and Identities for Second Order Equations. Applications to Inverse Problems. United States. doi:10.1007/S10958-018-3809-X.
Anikonov, Yu. E., E-mail: anikon@math.nsc.ru, and Ayupova, N. B., E-mail: ayupova@math.nsc.ru. Tue . "Ray Expansions and Identities for Second Order Equations. Applications to Inverse Problems". United States. doi:10.1007/S10958-018-3809-X.
@article{osti_22771216,
title = {Ray Expansions and Identities for Second Order Equations. Applications to Inverse Problems},
author = {Anikonov, Yu. E., E-mail: anikon@math.nsc.ru and Ayupova, N. B., E-mail: ayupova@math.nsc.ru},
abstractNote = {We develop a new method for studying inverse problems of mathematical physics by using systems of equations of ray expansion of solutions to parabolic and hyperbolic equations with variable coefficients.},
doi = {10.1007/S10958-018-3809-X},
journal = {Journal of Mathematical Sciences},
issn = {1072-3374},
number = 2,
volume = 231,
place = {United States},
year = {2018},
month = {5}
}