Calculus of variations

＜図書＞
Calculus of variations

責任表示	Jürgen Jost and Xianqing Li-Jost
シリーズ	Cambridge studies in advanced mathematics ; 64
データ種別	図書
出版情報	Cambridge : Cambridge University Press , 1998
本文言語	英語
大きさ	xvi, 323 p. : ill. ; 24 cm
概要	This textbook on the calculus of variations leads the reader from the basics to modern aspects of the theory. One-dimensional problems and the classical issues such as Euler-Lagrange equations are tre...ted, as are Noether's theorem, Hamilton-Jacobi theory, and in particular geodesic lines, thereby developing some important geometric and topological aspects. The basic ideas of optimal control theory are also given. The second part of the book deals with multiple integrals. After a review of Lebesgue integration, Banach and Hilbert space theory and Sobolev spaces (with complete and detailed proofs), there is a treatment of the direct methods and the fundamental lower semicontinuity theorems. Subsequent chapters introduce the basic concepts of the modern calculus of variations, namely relaxation, Gamma convergence, bifurcation theory and minimax methods based on the Palais-Smale condition. The prerequisites are knowledge of the basic results from calculus of one and several variables. After having studied this book, the reader will be well equipped to read research papers in the calculus of variations. This textbook on the calculus of variations covers from the basics to the modern aspects of the theory. 続きを見る

巻次	所蔵場所	請求記号	刷年	資料番号	予約・取寄	自動書庫
	中央図自動書庫	413.9/J 78/19991236	1998	017211999012360	予約・取寄	出庫可能	予約・取寄	出庫可能
	理系図3F 数理独自	JOST/10/7	c1998	023211999000730	予約・取寄		予約・取寄
: hardback	理系図自動書庫	104/JOS	1998	027232003103072	予約・取寄	出庫可能	予約・取寄	出庫可能