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Pseudoparabolic and pseudohyperbolic equations in noncylindrical time domains. / Kozhanov, Alexandr I.; Lukina, Galina A.

In: Mathematical Notes of NEFU, Vol. 26, No. 3, 01.01.2019, p. 15-30.

Research output: Contribution to journal › Article › peer-review

Harvard

Kozhanov, AI & Lukina, GA 2019, 'Pseudoparabolic and pseudohyperbolic equations in noncylindrical time domains', Mathematical Notes of NEFU, vol. 26, no. 3, pp. 15-30. https://doi.org/10.25587/SVFU.2019.17.12.002

APA

Kozhanov, A. I., & Lukina, G. A. (2019). Pseudoparabolic and pseudohyperbolic equations in noncylindrical time domains. Mathematical Notes of NEFU, 26(3), 15-30. https://doi.org/10.25587/SVFU.2019.17.12.002

Vancouver

Kozhanov AI, Lukina GA. Pseudoparabolic and pseudohyperbolic equations in noncylindrical time domains. Mathematical Notes of NEFU. 2019 Jan 1;26(3):15-30. doi: 10.25587/SVFU.2019.17.12.002

Author

Kozhanov, Alexandr I. ; Lukina, Galina A. / Pseudoparabolic and pseudohyperbolic equations in noncylindrical time domains. In: Mathematical Notes of NEFU. 2019 ; Vol. 26, No. 3. pp. 15-30.

BibTeX

@article{2dc4c906a0714eb588c6debdf689acc8,
title = "Pseudoparabolic and pseudohyperbolic equations in noncylindrical time domains",
abstract = "We study solvability of new boundary value problems for pseudoparabolic and pseudohyperbolic equations with one spatial variable. The solutions for these problems are sought in domains noncylindrical along the time variable, not in the domains with curvilinear borders (domains with moving border) as in the previous works. We prove the existence and uniqueness theorems for the regular solutions, those having all generalized Sobolev derivatives, required in the equation, in the inner subdomains.",
keywords = "Boundary value problem, Existence, Noncylindrical domain, Pseudohyperbolic equation, Pseudoparabolic equation, Regular solution, Uniqueness",
author = "Kozhanov, {Alexandr I.} and Lukina, {Galina A.}",
year = "2019",
month = jan,
day = "1",
doi = "10.25587/SVFU.2019.17.12.002",
language = "English",
volume = "26",
pages = "15--30",
journal = "Математические заметки СВФУ",
issn = "2411-9326",
publisher = "M. K. Ammosov North-Eastern Federal University",
number = "3",

}

RIS

TY - JOUR

T1 - Pseudoparabolic and pseudohyperbolic equations in noncylindrical time domains

AU - Kozhanov, Alexandr I.

AU - Lukina, Galina A.

PY - 2019/1/1

Y1 - 2019/1/1

N2 - We study solvability of new boundary value problems for pseudoparabolic and pseudohyperbolic equations with one spatial variable. The solutions for these problems are sought in domains noncylindrical along the time variable, not in the domains with curvilinear borders (domains with moving border) as in the previous works. We prove the existence and uniqueness theorems for the regular solutions, those having all generalized Sobolev derivatives, required in the equation, in the inner subdomains.

AB - We study solvability of new boundary value problems for pseudoparabolic and pseudohyperbolic equations with one spatial variable. The solutions for these problems are sought in domains noncylindrical along the time variable, not in the domains with curvilinear borders (domains with moving border) as in the previous works. We prove the existence and uniqueness theorems for the regular solutions, those having all generalized Sobolev derivatives, required in the equation, in the inner subdomains.

KW - Boundary value problem

KW - Existence

KW - Noncylindrical domain

KW - Pseudohyperbolic equation

KW - Pseudoparabolic equation

KW - Regular solution

KW - Uniqueness

UR - http://www.scopus.com/inward/record.url?scp=85074644690&partnerID=8YFLogxK

U2 - 10.25587/SVFU.2019.17.12.002

DO - 10.25587/SVFU.2019.17.12.002

M3 - Article

AN - SCOPUS:85074644690

VL - 26

SP - 15

EP - 30

JO - Математические заметки СВФУ

JF - Математические заметки СВФУ

SN - 2411-9326

IS - 3

ER -

ID: 22345058