Compactness of the difference between the thermoviscoelastic semigroup and its decoupled semigroup

被引：6

作者：

Liu, WJ ^{[1
]}

机构：

[1] Dalhousie Univ, Dept Math & Stat, Halifax, NS B3J 3J5, Canada

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2000年 / 30卷 / 03期

关键词：

compactness; thermoviscoelasticity; semigroups;

D O I：

10.1216/rmjm/1021477258

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By using the theory of semigroups, we prove the compactness of the difference between the semigroups generated by the system of thermoviscoelasticity type and its decoupled system, respectively.

引用

页码：1039 / 1056

页数：18

共 15 条

[1]

Adams A, 2003, SOBOLEV SPACES

[2]

[Anonymous], 1987, SPECTRAL THEORY DIFF

[3]

DAFERMOS CM, 1970, ARCH RATION MECH AN, V37, P297

[4] AN ABSTRACT VOLTERRA EQUATION WITH APPLICATIONS TO LINEAR VISCOELASTICITY [J].

DAFERMOS, CM .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1970, 7 (03) :554-&

[5]

DAUTRAY R, 1992, MATH ANAL NUMERICAL, V2

[6]

Henry D, 1981, GEOMETRIC THEORY SEM, P3, DOI DOI 10.1007/BFB0089647

[7] ON THE ESSENTIAL SPECTRUM OF A SEMIGROUP OF THERMOELASTICITY [J].

HENRY, DB ;

PERISSINITTO, A ;

LOPES, O .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1993, 21 (01) :65-75

[8]

Kristic M., 1995, Nonlinear and Adaptive Control Design

[9]

Lions J. L., 1972, NONHOMOGENEOUS BOUND, VI

[10]

LIONS JL, 1972, NONHOMOGENEOUS BOUND, V2

← 1 2 →