Determination of a coefficient in a quasilinear parabolic equation with periodic boundary condition

被引：12

作者：

Baglan, Irem ^{[1
]}

机构：

[1] Kocaeli Univ, Dept Math, Kocaeli, Turkey

来源：

INVERSE PROBLEMS IN SCIENCE AND ENGINEERING | 2015年 / 23卷 / 05期

关键词：

integral overdetermination condition; periodic boundary conditions; inverse problem; quasilinear parabolic equation; time-dependent coefficient; TIME-DEPENDENT COEFFICIENT; PARTIAL-DIFFERENTIAL-EQUATION; INVERSE PROBLEM; PARAMETER; SUBJECT;

D O I：

10.1080/17415977.2014.947479

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, we consider the problem of determining the time-dependent thermal diffusivity and the temperature distribution in one-dimensional quasilinear heat equation with periodic boundary and integral overdetermination conditions. We establish conditions for the existence, uniqueness and continuous dependent of a classical solution of the problem under considerations. We present some results on the numerical solution with two examples.

引用

页码：884 / 900

页数：17

共 50 条

[41] A PROBLEM WITH MIXED BOUNDARY-CONDITIONS FOR A QUASILINEAR PARABOLIC EQUATION
GLAGOLEVA, RY
[J]. MATHEMATICAL NOTES, 1983, 34 (3-4) : 683 - 687
[42] SOLUTION OF FIRST BOUNDARY PROBLEM IN LARGE FOR A QUASILINEAR PARABOLIC EQUATION
KAMYNIN, LI
MASLENNIKOV, VN
[J]. DOKLADY AKADEMII NAUK SSSR, 1961, 137 (05): : 1049 - &
[43] GALERKIN METHOD FOR A QUASILINEAR PARABOLIC EQUATION WITH NONLOCAL BOUNDARY CONDITIONS
Chen, Bai-Li
[J]. BOUNDARY VALUE PROBLEMS, INTEGRAL EQUATIONS AND RELATED PROBLEMS, 2011, : 1 - 11
[44] ON A PARABOLIC EQUATION WITH NONLOCAL BOUNDARY-CONDITION
GIANNI, R
[J]. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 1993, 3 (06): : 789 - 804
[45] On the Boundary Value Condition of an Isotropic Parabolic Equation
Ou, Qitong
Zhan, Huashui
[J]. JOURNAL OF FUNCTION SPACES, 2020, 2020
[46] Free boundary problem for quasilinear parabolic equation with fixed angle of contact to a boundary
Kohsaka, Y
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 45 (07) : 865 - 894
[47] Determination of a Time-Dependent Coefficient in a Wave Equation with Unusual Boundary Condition
Tekin, Ibrahim
[J]. FILOMAT, 2019, 33 (09) : 2653 - 2665
[48] Determination of the Lowest Coefficient for a One-Dimensional Parabolic Equation in a Domain with Free Boundary
H. A. Snitko
[J]. Ukrainian Mathematical Journal, 2014, 65 : 1698 - 1719
[49] Determination of the Lowest Coefficient for a One-Dimensional Parabolic Equation in a Domain with Free Boundary
Snitko, H. A.
[J]. UKRAINIAN MATHEMATICAL JOURNAL, 2014, 65 (11) : 1698 - 1719
[50] Periodic solutions of a parabolic equation with homogeneous Dirichlet boundary condition and linearly increasing discontinuous nonlinearity
Pavlenko, V. N.
Fedyashev, M. S.
[J]. UKRAINIAN MATHEMATICAL JOURNAL, 2013, 64 (08) : 1231 - 1240

← 1 2 3 4 5 →