Well-Posedness of the Right-Hand Side Identification Problem for a Parabolic Equation

被引：0

作者：

A. Ashyralyev

A. S. Erdogan

机构：

[1] Fatih University,

[2] ITTU,undefined

来源：

Ukrainian Mathematical Journal | 2014年 / 66卷

关键词：

Inverse Problem; Parabolic Equation; Nonlocal Condition; Nonlocal Boundary Condition; Nonlocal Initial Condition;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study the inverse problem of reconstruction of the right-hand side of a parabolic equation with nonlocal conditions. The well-posedness of this problem in Hölder spaces is established.

引用

页码：165 / 177

页数：12

共 50 条

[21] On the inverse problem of determining the right-hand side of a parabolic equation under an integral overdetermination condition
Kamynin, VL
MATHEMATICAL NOTES, 2005, 77 (3-4) : 482 - 493
[22] On the solvability of the inverse problem for determining the right-hand side of a degenerate parabolic equation with integral observation
V. L. Kamynin
Mathematical Notes, 2015, 98 : 765 - 777
[23] Determination of the Right-Hand Side in a Quasilinear Parabolic Equation with a Terminal Observation
N. L. Gol’dman
Differential Equations, 2005, 41 : 384 - 392
[24] Determination of the right-hand side in a quasilinear parabolic equation with a terminal observation
Gol'dman, NL
DIFFERENTIAL EQUATIONS, 2005, 41 (03) : 384 - 392
[25] GLOBAL WELL-POSEDNESS OF A CAUCHY PROBLEM FOR A NONLINEAR PARABOLIC EQUATION WITH MEMORY
Nguyen, Anh Tuan
Nghia, Bui Dai
Nguyen, Van Thinh
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2023, 31 (04)
[26] Well-posedness problem of an anisotropic parabolic equation with a nonstandard growth order
Zhan, Huashui
ADVANCES IN CONTINUOUS AND DISCRETE MODELS, 2024, 2024 (01):
[27] The nonlocal inverse problem of the identification of the lowest coefficient and the right-hand side in a second-order parabolic equation with integral conditions
Elvin I. Azizbayov
Boundary Value Problems, 2019
[28] The nonlocal inverse problem of the identification of the lowest coefficient and the right-hand side in a second-order parabolic equation with integral conditions
Azizbayov, Elvin I.
BOUNDARY VALUE PROBLEMS, 2019, 2019 (1)
[29] Determination of the right-hand side term in the degenerate parabolic equation with two variables
Kamynin, Vl
Kostin, A. B.
VII INTERNATIONAL CONFERENCE PROBLEMS OF MATHEMATICAL PHYSICS AND MATHEMATICAL MODELLING, 2019, 1205
[30] The well-posedness problem of a hyperbolic–parabolic mixed type equation on an unbounded domain
Huashui Zhan
Analysis and Mathematical Physics, 2019, 9 : 1849 - 1864

← 1 2 3 4 5 →