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Title: The Stabilization Rate of Solutions to the Cauchy Problem for Parabolic Equations

Abstract

We study sufficient conditions on lower-order coefficients of a nondivergence-form parabolic equation that guarantee the power rate of the uniform stabilization of the solution to the Cauchy problem on every compact set K of R{sup N} for any bounded initial function.

Authors:
 [1]
  1. Lomonosov Moscow State University (Russian Federation)
Publication Date:
OSTI Identifier:
22773999
Resource Type:
Journal Article
Journal Name:
Journal of Mathematical Sciences
Additional Journal Information:
Journal Volume: 232; Journal Issue: 3; 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; CAUCHY PROBLEM; EQUATIONS; MATHEMATICAL SOLUTIONS; STABILIZATION

Citation Formats

Denisov, V. N., E-mail: vdenisov2008@yandex.ru. The Stabilization Rate of Solutions to the Cauchy Problem for Parabolic Equations. United States: N. p., 2018. Web. doi:10.1007/S10958-018-3876-Z.
Denisov, V. N., E-mail: vdenisov2008@yandex.ru. The Stabilization Rate of Solutions to the Cauchy Problem for Parabolic Equations. United States. doi:10.1007/S10958-018-3876-Z.
Denisov, V. N., E-mail: vdenisov2008@yandex.ru. Sun . "The Stabilization Rate of Solutions to the Cauchy Problem for Parabolic Equations". United States. doi:10.1007/S10958-018-3876-Z.
@article{osti_22773999,
title = {The Stabilization Rate of Solutions to the Cauchy Problem for Parabolic Equations},
author = {Denisov, V. N., E-mail: vdenisov2008@yandex.ru},
abstractNote = {We study sufficient conditions on lower-order coefficients of a nondivergence-form parabolic equation that guarantee the power rate of the uniform stabilization of the solution to the Cauchy problem on every compact set K of R{sup N} for any bounded initial function.},
doi = {10.1007/S10958-018-3876-Z},
journal = {Journal of Mathematical Sciences},
issn = {1072-3374},
number = 3,
volume = 232,
place = {United States},
year = {2018},
month = {7}
}