Slowly oscillating solutions of parabolic inverse problems

被引：2

作者：

Yang, Fenglin ^{[1
]}

Zhang, Chuanyi ^{[1
]}

机构：

[1] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 335卷 / 02期

基金：

中国国家自然科学基金;

关键词：

slowly oscillating function; inverse problem; parabolic equation;

D O I：

10.1016/j.jmaa.2007.01.098

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We first extend slowly oscillating functions to a more general setting and investigate their properties. Then we show the existence and uniqueness of slowly oscillating solutions of parabolic equations and parabolic inverse problems. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：1238 / 1258

页数：21

共 50 条

[21] INVERSE PROBLEMS FOR PARABOLIC EQUATIONS
VU, PL
MATHEMATISCHE NACHRICHTEN, 1989, 141 : 325 - 334
[22] Slowly oscillating periodic solutions for a delayed physiological model
Li X.-L.
Wei J.-J.
Acta Mathematicae Applicatae Sinica, 2005, 21 (1) : 19 - 30
[23] Slowly Oscillating Periodic Solutions for a Delayed Physiological Model
Xiu-ling Li~1
Acta Mathematicae Applicatae Sinica(English Series), 2005, (01) : 19 - 30
[24] CONVERGENCE TO A STATIONARY STATE FOR SOLUTIONS TO PARABOLIC INVERSE PROBLEMS OF RECONSTRUCTION OF CONVOLUTION KERNELS
Guidetti, Davide
DIFFERENTIAL AND INTEGRAL EQUATIONS, 2007, 20 (09) : 961 - 990
[25] Continuation of solutions to elliptic and parabolic equations on hyperplanes and application to inverse source problems
Cheng, Jin
Yamamoto, Masahiro
INVERSE PROBLEMS, 2022, 38 (08)
[26] Parabolic problems in highly oscillating thin domains
Marcone C. Pereira
Annali di Matematica Pura ed Applicata (1923 -), 2015, 194 : 1203 - 1244
[27] Parabolic problems in highly oscillating thin domains
Pereira, Marcone C.
ANNALI DI MATEMATICA PURA ED APPLICATA, 2015, 194 (04) : 1203 - 1244
[28] STABILIZATION OF SOLUTIONS OF PARABOLIC EQUATIONS WITH OSCILLATING COEFFICIENTS
REPNIKOV, VD
DIFFERENTIAL EQUATIONS, 1987, 23 (08) : 918 - 923
[29] ANISOTROPIC PARABOLIC PROBLEMS WITH SLOWLY OR RAPIDLY GROWING TERMS
Swierczewska-Gwiazda, Agnieszka
COLLOQUIUM MATHEMATICUM, 2014, 134 (01) : 113 - 130
[30] Dynamic inverse problems for parabolic systems
Yu. S. Osipov
A. V. Kryazhimskii
V. I. Maksimov
Differential Equations, 2000, 36 : 643 - 661

← 1 2 3 4 5 →