Identification of time and space dependent relaxation kernels for materials with memory related to cylindrical domains .1.

被引：27

作者：

Colombo, F

Lorenzi, A

机构：

[1] Department of Mathematics, Univ.̀ degli Studi di Milano, 20133, Milano

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1997年 / 213卷 / 01期

关键词：

D O I：

10.1006/jmaa.1997.5364

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the problem of identifying a relaxation kernel for a first-order linear abstract integrodifferential equation. Such a problem is related to the theory of stratified materials with memory in cylindrical domains Omega = Omega(1) X Omega(2), Omega(1) and Omega(2) being. respectively, an interval in R and a smooth enough domain in R-n. The relaxation kernel, in this case, depends on time and one spatial variable. The proofs of the main results will appear in a subsequent paper. (C) 1997 Academic Press.

引用

页码：32 / 62

页数：31

共 21 条

[1] Memory kernels and effective Hamiltonians from time dependent methods .1. Predissociation with a curve crossing
DesouterLecomte, M
Lievin, J
JOURNAL OF CHEMICAL PHYSICS, 1997, 107 (05): : 1428 - 1440
[2] IDENTIFICATION OF TWO DEGENERATE TIME- AND SPACE-DEPENDENT KERNELS IN A PARABOLIC EQUATION
Pais, Enno
Janno, Jaan
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2005,
[3] Dynamical phenomena in sunspots .1. Time dependent relaxation to equilibrium
Gangadhara, RT
Hasan, SS
ASTRONOMY & ASTROPHYSICS, 1997, 327 (02): : 786 - 794
[4] An inverse problem for identification of a time- and space-dependent memory kernel in viscoelasticity
Janno, J
von Wolfersdorf, L
INVERSE PROBLEMS, 2001, 17 (01) : 13 - 24
[5] Uniqueness in shape identification of a time-varying domain and related parabolic equations on non-cylindrical domains
Kawakami, Hajime
Tsuchiya, Masaaki
INVERSE PROBLEMS, 2010, 26 (12)
[6] Time-dependent damage evolution and failure in materials .1. Theory
Curtin, WA
Scher, H
PHYSICAL REVIEW B, 1997, 55 (18): : 12038 - 12050
[7] TIME-DEPENDENT ACCURACY OF ELASTOMER IMPRESSION MATERIALS .1. CONDENSATION SILICONES
LACY, AM
BELLMAN, T
FUKUI, H
JENDRESEN, MD
JOURNAL OF PROSTHETIC DENTISTRY, 1981, 45 (02): : 209 - 215
[8] A REMARK ON KINEMATIC HARDENING .1. TIME-DEPENDENT THEORY OF PLASTIC MULTICOMPONENT MATERIALS
STICKFORTH, J
ARCHIVES OF MECHANICS, 1986, 38 (1-2): : 103 - 115
[9] An inverse problem for identification of a time- and space-dependent memory kernel of a special kind in heat conduction
Janno, J
von Wolfersdorf, L
INVERSE PROBLEMS, 1999, 15 (06) : 1455 - 1467
[10] Identification of the Hereditary Kernels of Isotropic Linear Viscoelastic Materials in Combined Stress state. 1. Superposition of Shear and Bulk creep
Golub V.P.
Maslov B.P.
Fernati P.V.
Golub, V.P. (creep@inmech.kiev.ua), 1600, Springer Science and Business Media, LLC (52): : 165 - 175

← 1 2 3 →