On an inverse problem for a parabolic equation with the Cauchy data on a part of the lateral boundary of a cylinder

被引：0

作者：

Pyatkov, S. G. ^{[1
,2
]}

Borichevskaya, A. G. ^{[1
]}

机构：

[1] Yugra State Univ, Khanty Mansiisk, Russia

[2] Sobolev Inst Math, Novosibirsk, Russia

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2013年 / 54卷 / 02期

基金：

俄罗斯基础研究基金会;

关键词：

inverse problem; second order parabolic equation; boundary value problem; overdetermination condition;

D O I：

10.1134/S003744661302016X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Under examination is the question on existence and uniqueness of solutions to some inverse problems for a parabolic equation. We look for a solution of this equation and a coefficient with the use of the data of an initial-boundary value problem and the Cauchy data on a part of the boundary of a spatial cylindrical domain. A solution is sought in Sobolev spaces and the coefficient in the class of continuous functions.

引用

页码：341 / 352

页数：12

共 50 条

[21] Inverse problem for a weakly degenerate parabolic equation in a domain with free boundary
Ivanchov M.I.
Hryntsiv N.M.
Journal of Mathematical Sciences, 2010, 167 (1) : 16 - 29
[22] An inverse problem for a quasilinear parabolic equation with nonlocal boundary and overdetermination conditions
Fatma Kanca
Irem Baglan
Journal of Inequalities and Applications, 2014
[23] An inverse problem for a quasilinear parabolic equation with nonlocal boundary and overdetermination conditions
Kanca, Fatma
Baglan, Irem
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
[24] Inverse Problem for a Time Fractional Parabolic Equation with Nonlocal Boundary Conditions
Ozbilge, Ebru
Kanca, Fatma
Ozbilge, Emre
MATHEMATICS, 2022, 10 (09)
[25] An inverse coefficient problem for a quasilinear parabolic equation with nonlocal boundary conditions
Fatma Kanca
Irem Baglan
Boundary Value Problems, 2013
[26] The inverse problem for determining the right part of the pseudo-parabolic equation
Khompysh, Kh
Shakir, A.
JOURNAL OF MATHEMATICS MECHANICS AND COMPUTER SCIENCE, 2020, 105 (01): : 87 - 98
[27] Approximate Solving of an Inverse Problem for a Parabolic Equation with Nonlocal Data
Tabarintseva, Elena
2019 15TH INTERNATIONAL ASIAN SCHOOL-SEMINAR OPTIMIZATION PROBLEMS OF COMPLEX SYSTEMS (OPCS 2019), 2019, : 173 - 178
[28] THE CAUCHY PROBLEM FOR DEGENERATE PARABOLIC CONVOLUTION EQUATION
Musaev, Hummet K.
TWMS JOURNAL OF PURE AND APPLIED MATHEMATICS, 2021, 12 (02): : 278 - 288
[29] Cauchy Problem for a Fractional Parabolic Equation with the Advection
Li Xitao
Xu Meng
Zhou Shulin
JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS, 2018, 31 (03): : 252 - 273
[30] UNIQUENESS OF THE CAUCHY PROBLEM FOR A PARABOLIC TYPE OF EQUATION
LI, DY
DOKLADY AKADEMII NAUK SSSR, 1959, 129 (05): : 979 - 982

← 1 2 3 4 5 →