Variational methods for strongly indefinite problems

＜図書＞
Variational methods for strongly indefinite problems

責任表示	Yanheng Ding
シリーズ	Interdisciplinary mathematical sciences ; v. 7
データ種別	図書
出版情報	New Jersey : World Scientific , c2007
本文言語	英語
大きさ	viii, 168 p. ; 26 cm
概要	This unique book focuses on critical point theory for strongly indefinite functionals aiming to deal with nonlinear variational problems arising from physics, mechanics, economics, etc. With the origi...al ingredients of Lipschitz partitions of unity of gage spaces (nonmetrizable spaces), Lipschitz normality, and sufficient conditions for the normality, as well as existence-uniqueness of flow of ODE on gage spaces, it presents for the first time a deformation theory in locally convex topological vector spaces (LCTVS). The book then offers satisfying variational settings for homoclinic type solutions to Hamiltonian systems, Schrodinger equations, Dirac equations and diffusion systems, and describes recent developments in studying these problems. The concepts and methods in the book open up new topics worthy of in-depth exploration, and link the subject with other branches of mathematics, such as topology and geometry, providing a perspective for further studies in these areas, and the analytical framework can be used to handle more infinite-dimensional Hamiltonian systems. Book jacket.続きを見る

状態	巻次	所蔵場所	請求記号	刷年	文庫名称	資料番号	コメント	予約・取寄	複写申込	自動書庫
		理系図3F 数理独自	DING/5/1	2007		023212007005375		予約・取寄			予約・取寄