Wigner measure and semiclassical limits of nonlinear Schrödinger equations

＜図書＞
Wigner measure and semiclassical limits of nonlinear Schrödinger equations

責任表示	Ping Zhang
シリーズ	Courant lecture notes in mathematics ; 17
データ種別	図書
出版情報	New York, N.Y. : Courant Institute of Mathematical Sciences Providence, R.I. : American Mathematical Society , c2008
本文言語	英語
大きさ	viii, 197 p. ; 26 cm
概要	Drawn from a course taught at New York U. in the spring of 2007, this monograph applies the theory of semi-classical pseudo-differential operators to the study of various high-frequency limits of equa...ions from quantum mechanics.. Zhang (mathematics and systems science, Chinese Academy of Sciences) focuses primarily on Wigner measure and its use as a tool to study problems from semi-classical limits of Schrodinger-type equations. He begins with the classical WKB method and proceeds to the theory of Wigner measure, the semi-classical limit from one-dimensional Schrodinger-Poisson to Vlasov-Poisson equations, the semi-classical limits of multidimensional Schrodinger-Poisson equations and the semi-classical limits of the cubic Schrodinger equation in an exterior domain. In the closing chapter he describes the applications of Wigner measure to the study of high-frequency limits of Helmholz equations. Zhang also provides appendices on the global insistence of smooth solutions to various Schrodinger-type equations. Annotation ©2008 Book News, Inc., Portland, OR (booknews.com) 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	ZHAN/35/1	2008		023212008004855		予約・取寄			予約・取寄

一般注記	Includes bibliographical references (p. 193-197)
著者標目	*Zhang, Ping
件　名	LCSH:Schrödinger equation LCSH:WKB approximation LCSH:Differential equations, Nonlinear LCSH:Nonlinear theories
分　類	LCC:QC174.26.W28 DC22:530.12/4
書誌ID	1001343920
ISBN	9780821847015
NCID	BA8737520X
巻冊次	ISBN:9780821847015
登録日	2009.09.18
更新日	2009.11.02