Symplectic geometry and dissipative differential operators

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:414

Article

Yao, Siqin¹  Sun, Jiong¹  Zettl, Anton² 

[1] Inner Mongolia Univ, Dept Math, Hohhot 010021, Peoples R China

[2] No Illinois Univ, Dept Math, De Kalb, IL 60115 USA

关键词: Dissipative differential operators;    Symplectic geometry;    Dissipative subspaces;   

DOI  :  10.1016/j.jmaa.2014.01.019

来源: Elsevier

【 摘 要 】

Everitt and Markus characterized the domains of self-adjoint differential operators in terms of Lagrangian subspaces of complex symplectic spaces. In this paper we define Dissipative and strictly Dissipative subspaces for complex symplectic spaces and characterize the domains of dissipative and strictly dissipative differential operators in terms of these subspaces. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free