Standard

Necessary Conditions for the Solvability of One Class of Boundary Value Problems for Quasielliptic Systems. / Bondar’, L. N.

In: Siberian Advances in Mathematics, Vol. 29, No. 1, 01.01.2019, p. 22-31.

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

Harvard

Bondar’, LN 2019, 'Necessary Conditions for the Solvability of One Class of Boundary Value Problems for Quasielliptic Systems', Siberian Advances in Mathematics, vol. 29, no. 1, pp. 22-31. https://doi.org/10.3103/S1055134419010024

APA

Bondar’, L. N. (2019). Necessary Conditions for the Solvability of One Class of Boundary Value Problems for Quasielliptic Systems. Siberian Advances in Mathematics, 29(1), 22-31. https://doi.org/10.3103/S1055134419010024

Vancouver

Bondar’ LN. Necessary Conditions for the Solvability of One Class of Boundary Value Problems for Quasielliptic Systems. Siberian Advances in Mathematics. 2019 Jan 1;29(1):22-31. doi: 10.3103/S1055134419010024

Author

Bondar’, L. N. / Necessary Conditions for the Solvability of One Class of Boundary Value Problems for Quasielliptic Systems. In: Siberian Advances in Mathematics. 2019 ; Vol. 29, No. 1. pp. 22-31.

BibTeX

@article{649999548b5e4a13afdfe748dfb0b3b9,
title = "Necessary Conditions for the Solvability of One Class of Boundary Value Problems for Quasielliptic Systems",
abstract = "We consider boundary value problems in a half-space for a class of quasielliptic systems with nonzero boundary functions.We assume that the boundary value problems satisfy the Lopatinskiĭ condition. Necessary conditions are given for their unique solvability in Sobolev spaces. In a particular case, these conditions coincide with sufficient conditions.",
keywords = "boundary value problem, Lopatinskiĭ condition, quasielliptic system, Sobolev space, solvability condition",
author = "Bondar{\textquoteright}, {L. N.}",
year = "2019",
month = jan,
day = "1",
doi = "10.3103/S1055134419010024",
language = "English",
volume = "29",
pages = "22--31",
journal = "Siberian Advances in Mathematics",
issn = "1055-1344",
publisher = "PLEIADES PUBLISHING INC",
number = "1",

}

RIS

TY - JOUR

T1 - Necessary Conditions for the Solvability of One Class of Boundary Value Problems for Quasielliptic Systems

AU - Bondar’, L. N.

PY - 2019/1/1

Y1 - 2019/1/1

N2 - We consider boundary value problems in a half-space for a class of quasielliptic systems with nonzero boundary functions.We assume that the boundary value problems satisfy the Lopatinskiĭ condition. Necessary conditions are given for their unique solvability in Sobolev spaces. In a particular case, these conditions coincide with sufficient conditions.

AB - We consider boundary value problems in a half-space for a class of quasielliptic systems with nonzero boundary functions.We assume that the boundary value problems satisfy the Lopatinskiĭ condition. Necessary conditions are given for their unique solvability in Sobolev spaces. In a particular case, these conditions coincide with sufficient conditions.

KW - boundary value problem

KW - Lopatinskiĭ condition

KW - quasielliptic system

KW - Sobolev space

KW - solvability condition

UR - http://www.scopus.com/inward/record.url?scp=85064736206&partnerID=8YFLogxK

U2 - 10.3103/S1055134419010024

DO - 10.3103/S1055134419010024

M3 - Article

AN - SCOPUS:85064736206

VL - 29

SP - 22

EP - 31

JO - Siberian Advances in Mathematics

JF - Siberian Advances in Mathematics

SN - 1055-1344

IS - 1

ER -

ID: 19649760