On the Stability of a Forward-Backward Heat Equation

被引：5
|
作者：
Boulton, Lyonell [1 ]
Marletta, Marco [2 ]
Rule, David [1 ]
机构：
[1] Heriot Watt Univ, Maxwell Inst Math Sci, Dept Math, Edinburgh EH14 4AS, Midlothian, Scotland
[2] Cardiff Univ, Cardiff Sch Math, Cardiff CF24 4AG, S Glam, Wales
来源：
INTEGRAL EQUATIONS AND OPERATOR THEORY | 2012年 / 73卷 / 02期
基金：
英国工程与自然科学研究理事会;
关键词：
NONSELF-ADJOINT OPERATOR; EIGENVALUES;
D O I：
10.1007/s00020-012-1963-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we examine spectral properties of a family of periodic singular Sturm-Liouville problems which are highly non-self-adjoint but have purely real spectrum. The problem originated from the study of the lubrication approximation of a viscous fluid film in the inner surface of a rotating cylinder and has received a substantial amount of attention in recent years. Our main focus will be the determination of Schatten class inclusions for the resolvent operator and regularity properties of the associated evolution equation.
引用
收藏
页码：195 / 216
页数：22
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