Unique Solvability of a Linear Parabolic Problem with Nonlocal Time Data

Standard

Unique Solvability of a Linear Parabolic Problem with Nonlocal Time Data. / Starovoitov, V. N.

In: Siberian Mathematical Journal, Vol. 62, No. 2, 03.2021, p. 337-340.

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

Harvard

Starovoitov, VN 2021, 'Unique Solvability of a Linear Parabolic Problem with Nonlocal Time Data', Siberian Mathematical Journal, vol. 62, no. 2, pp. 337-340. https://doi.org/10.1134/S0037446621020129

APA

Starovoitov, V. N. (2021). Unique Solvability of a Linear Parabolic Problem with Nonlocal Time Data. Siberian Mathematical Journal, 62(2), 337-340. https://doi.org/10.1134/S0037446621020129

Vancouver

Starovoitov VN. Unique Solvability of a Linear Parabolic Problem with Nonlocal Time Data. Siberian Mathematical Journal. 2021 Mar;62(2):337-340. doi: 10.1134/S0037446621020129

Author

Starovoitov, V. N. / Unique Solvability of a Linear Parabolic Problem with Nonlocal Time Data. In: Siberian Mathematical Journal. 2021 ; Vol. 62, No. 2. pp. 337-340.

BibTeX

@article{14205a2469da40f488065f6dbf97877c,

title = "Unique Solvability of a Linear Parabolic Problem with Nonlocal Time Data",

abstract = "We consider a problem for a first-order differential equationin a Hilbert space. We replace the initial data with some condition that includes the integralof the solution over the entire time interval on which we solve the problem.It is proved that the problem has a unique solution on an arbitrary time intervalunder the condition that some of the data are positive.",

keywords = "517.954, differential equation in a Hilbert space, nonlocal time data, solvability, uniqueness of solution",

author = "Starovoitov, {V. N.}",

year = "2021",

month = mar,

doi = "10.1134/S0037446621020129",

language = "English",

volume = "62",

pages = "337--340",

journal = "Siberian Mathematical Journal",

issn = "0037-4466",

publisher = "MAIK NAUKA/INTERPERIODICA/SPRINGER",

number = "2",

}

RIS

TY - JOUR

T1 - Unique Solvability of a Linear Parabolic Problem with Nonlocal Time Data

AU - Starovoitov, V. N.

PY - 2021/3

Y1 - 2021/3

N2 - We consider a problem for a first-order differential equationin a Hilbert space. We replace the initial data with some condition that includes the integralof the solution over the entire time interval on which we solve the problem.It is proved that the problem has a unique solution on an arbitrary time intervalunder the condition that some of the data are positive.

AB - We consider a problem for a first-order differential equationin a Hilbert space. We replace the initial data with some condition that includes the integralof the solution over the entire time interval on which we solve the problem.It is proved that the problem has a unique solution on an arbitrary time intervalunder the condition that some of the data are positive.

KW - 517.954

KW - differential equation in a Hilbert space

KW - nonlocal time data

KW - solvability

KW - uniqueness of solution

UR - http://www.scopus.com/inward/record.url?scp=85103990490&partnerID=8YFLogxK

U2 - 10.1134/S0037446621020129

DO - 10.1134/S0037446621020129

M3 - Article

AN - SCOPUS:85103990490

VL - 62

SP - 337

EP - 340

JO - Siberian Mathematical Journal

JF - Siberian Mathematical Journal

SN - 0037-4466

IS - 2

ER -

ID: 28334508