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Title: Solution of Boundary Value Problems in Cylinders with Two-Layer Film Inclusions

Abstract

We consider the class of boundary value problems for elliptic, parabolic, and hyperbolic equations in cylinders separated by a two-layer film into two half-cylinders. We prove the existence and uniqueness theorem and express the solutions in terms of solutions to analogous classical problems in cylinders without films.

Authors:
 [1]
  1. Transbaikal State University (Russian Federation)
Publication Date:
OSTI Identifier:
22771405
Resource Type:
Journal Article
Journal Name:
Journal of Mathematical Sciences
Additional Journal Information:
Journal Volume: 230; Journal Issue: 1; 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; BOUNDARY-VALUE PROBLEMS; CYLINDERS; EQUATIONS; HYPERBOLIC CONFIGURATION; INCLUSIONS; LAYERS; MATHEMATICAL SOLUTIONS

Citation Formats

Kholodovskii, S. E., E-mail: hol47@yandex.ru. Solution of Boundary Value Problems in Cylinders with Two-Layer Film Inclusions. United States: N. p., 2018. Web. doi:10.1007/S10958-018-3726-Z.
Kholodovskii, S. E., E-mail: hol47@yandex.ru. Solution of Boundary Value Problems in Cylinders with Two-Layer Film Inclusions. United States. doi:10.1007/S10958-018-3726-Z.
Kholodovskii, S. E., E-mail: hol47@yandex.ru. Sun . "Solution of Boundary Value Problems in Cylinders with Two-Layer Film Inclusions". United States. doi:10.1007/S10958-018-3726-Z.
@article{osti_22771405,
title = {Solution of Boundary Value Problems in Cylinders with Two-Layer Film Inclusions},
author = {Kholodovskii, S. E., E-mail: hol47@yandex.ru},
abstractNote = {We consider the class of boundary value problems for elliptic, parabolic, and hyperbolic equations in cylinders separated by a two-layer film into two half-cylinders. We prove the existence and uniqueness theorem and express the solutions in terms of solutions to analogous classical problems in cylinders without films.},
doi = {10.1007/S10958-018-3726-Z},
journal = {Journal of Mathematical Sciences},
issn = {1072-3374},
number = 1,
volume = 230,
place = {United States},
year = {2018},
month = {4}
}