Solvability Conditions for an Initial-boundary Value Problem a Pseudo-hyperbolic Equation with Nonzero Initial Conditions

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Solvability Conditions for an Initial-boundary Value Problem a Pseudo-hyperbolic Equation with Nonzero Initial Conditions. / Shemetova, V. V.

In: Lobachevskii Journal of Mathematics, Vol. 46, No. 4, 21.08.2025, p. 1912-1921.

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

BibTeX

@article{466f9ef74a5842c89e9093a38dfaf213,

title = "Solvability Conditions for an Initial-boundary Value Problem a Pseudo-hyperbolic Equation with Nonzero Initial Conditions",

abstract = "Abstract: This paper considers a mixed boundary value problem for a pseudohyperbolic equation in the quarter-plane. Conditions on the boundary functions ensuring correctness in Sobolev spaces with an exponential weight are obtained.",

keywords = "Lopatinskii condition, Sobolev spaces with an exponential weight, pseudohyperbolic equation",

author = "Shemetova, {V. V.}",

note = "The research is supported by the Russian Science Foundation (grant no. 24-21-00370), https://rscf.ru/project/24-21-00370/ Shemetova V. V. Solvability Conditions for an Initial-boundary Value Problem a Pseudo-hyperbolic Equation with Nonzero Initial Conditions / V. V. Shemetova // Lobachevskii Journal of Mathematics. – 2025. – Vol. 46, No. 4. – P. 1912-1921. – DOI 10.1134/S1995080225606137 ",

year = "2025",

month = aug,

day = "21",

doi = "10.1134/S1995080225606137",

language = "English",

volume = "46",

pages = "1912--1921",

journal = "Lobachevskii Journal of Mathematics",

issn = "1995-0802",

publisher = "ФГБУ {"}Издательство {"}Наука{"}",

number = "4",

}

RIS

TY - JOUR

T1 - Solvability Conditions for an Initial-boundary Value Problem a Pseudo-hyperbolic Equation with Nonzero Initial Conditions

AU - Shemetova, V. V.

N1 - The research is supported by the Russian Science Foundation (grant no. 24-21-00370), https://rscf.ru/project/24-21-00370/ Shemetova V. V. Solvability Conditions for an Initial-boundary Value Problem a Pseudo-hyperbolic Equation with Nonzero Initial Conditions / V. V. Shemetova // Lobachevskii Journal of Mathematics. – 2025. – Vol. 46, No. 4. – P. 1912-1921. – DOI 10.1134/S1995080225606137

PY - 2025/8/21

Y1 - 2025/8/21

N2 - Abstract: This paper considers a mixed boundary value problem for a pseudohyperbolic equation in the quarter-plane. Conditions on the boundary functions ensuring correctness in Sobolev spaces with an exponential weight are obtained.

AB - Abstract: This paper considers a mixed boundary value problem for a pseudohyperbolic equation in the quarter-plane. Conditions on the boundary functions ensuring correctness in Sobolev spaces with an exponential weight are obtained.

KW - Lopatinskii condition

KW - Sobolev spaces with an exponential weight

KW - pseudohyperbolic equation

UR - https://www.mendeley.com/catalogue/662064f4-02cf-3eb5-94fc-5bbd069f0fc2/

UR - https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=105013859361&origin=inward

U2 - 10.1134/S1995080225606137

DO - 10.1134/S1995080225606137

M3 - Article

VL - 46

SP - 1912

EP - 1921

JO - Lobachevskii Journal of Mathematics

JF - Lobachevskii Journal of Mathematics

SN - 1995-0802

IS - 4

ER -

ID: 68881736