On Necessary Conditions for the Solvability of One Class of Elliptic Systems in a Half-Space

Standard

On Necessary Conditions for the Solvability of One Class of Elliptic Systems in a Half-Space. / Bondar’, L. N.

In: Journal of Applied and Industrial Mathematics, Vol. 13, No. 3, 01.07.2019, p. 390-404.

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

Harvard

Bondar’, LN 2019, 'On Necessary Conditions for the Solvability of One Class of Elliptic Systems in a Half-Space', Journal of Applied and Industrial Mathematics, vol. 13, no. 3, pp. 390-404. https://doi.org/10.1134/S1990478919030025

APA

Bondar’, L. N. (2019). On Necessary Conditions for the Solvability of One Class of Elliptic Systems in a Half-Space. Journal of Applied and Industrial Mathematics, 13(3), 390-404. https://doi.org/10.1134/S1990478919030025

Vancouver

Bondar’ LN. On Necessary Conditions for the Solvability of One Class of Elliptic Systems in a Half-Space. Journal of Applied and Industrial Mathematics. 2019 Jul 1;13(3):390-404. doi: 10.1134/S1990478919030025

Author

Bondar’, L. N. / On Necessary Conditions for the Solvability of One Class of Elliptic Systems in a Half-Space. In: Journal of Applied and Industrial Mathematics. 2019 ; Vol. 13, No. 3. pp. 390-404.

BibTeX

@article{1b537ac4ad3d47c88b7b8c3eb153bdfb,

title = "On Necessary Conditions for the Solvability of One Class of Elliptic Systems in a Half-Space",

abstract = "We consider boundary value problems in a half-space for a class of elliptic systems. Assuming that the boundary value problems satisfy the Lopatinskiı˘ condition, we give necessary conditions for the unique solvability in Sobolev spaces.",

keywords = "boundary value problem, elliptic system, Lopatinskil condition, Sobolev space, solvability condition",

author = "Bondar{\textquoteright}, {L. N.}",

note = "Publisher Copyright: {\textcopyright} 2019, Pleiades Publishing, Ltd.",

year = "2019",

month = jul,

day = "1",

doi = "10.1134/S1990478919030025",

language = "English",

volume = "13",

pages = "390--404",

journal = "Journal of Applied and Industrial Mathematics",

issn = "1990-4789",

publisher = "Maik Nauka-Interperiodica Publishing",

number = "3",

}

RIS

TY - JOUR

T1 - On Necessary Conditions for the Solvability of One Class of Elliptic Systems in a Half-Space

AU - Bondar’, L. N.

PY - 2019/7/1

Y1 - 2019/7/1

N2 - We consider boundary value problems in a half-space for a class of elliptic systems. Assuming that the boundary value problems satisfy the Lopatinskiı˘ condition, we give necessary conditions for the unique solvability in Sobolev spaces.

AB - We consider boundary value problems in a half-space for a class of elliptic systems. Assuming that the boundary value problems satisfy the Lopatinskiı˘ condition, we give necessary conditions for the unique solvability in Sobolev spaces.

KW - boundary value problem

KW - elliptic system

KW - Lopatinskil condition

KW - Sobolev space

KW - solvability condition

UR - http://www.scopus.com/inward/record.url?scp=85071493963&partnerID=8YFLogxK

U2 - 10.1134/S1990478919030025

DO - 10.1134/S1990478919030025

M3 - Article

AN - SCOPUS:85071493963

VL - 13

SP - 390

EP - 404

JO - Journal of Applied and Industrial Mathematics

JF - Journal of Applied and Industrial Mathematics

SN - 1990-4789

IS - 3

ER -

ID: 21472377