menu 简单麦麦
account_circle

离焦非线性薛定谔方程-Defocusing Nonlinear Schrodinger Equations

帮助2580人找到了他们想要的文件
上传于 2020-02-27 0次下载 4785次围观
文件编号:1344
文件详情
标题(title):Defocusing Nonlinear Schrodinger Equations
离焦非线性薛定谔方程
作者(author):Benjamin Dodson
出版社(publisher):Cambridge University Press
大小(size):2 MB (1821336 bytes)
格式(extension):pdf
注意:如果文件下载完成后为无法打开的格式,请修改后缀名为格式对应后缀

This study of Schrödinger equations with power-type nonlinearity provides a great deal of insight into other dispersive partial differential equations and geometric partial differential equations. It presents important proofs, using tools from harmonic analysis, microlocal analysis, functional analysis, and topology. This includes a new proof of Keel–Tao endpoint Strichartz estimates, and a new proof of Bourgain's result for radial, energy-critical NLS. It also provides a detailed presentation of scattering results for energy-critical and mass-critical equations. This book is suitable as the basis for a one-semester course, and serves as a useful introduction to nonlinear Schrödinger equations for those with a background in harmonic analysis, functional analysis, and partial differential equations.
Table of contents :
Contents......Page 8
Preface......Page 10
Acknowledgments......Page 13
1.1 Linear Schrodinger Equation and Preliminaries......Page 14
1.2 Strichartz Estimates......Page 23
1.3 Small Data Mass-Critical Problem......Page 37
1.4 A Large Data Global Well-Posedness Result......Page 46
2.1 The Cubic NLS in Three and Four Dimensions with Small Data......Page 54
2.2 Scattering for the Radial Cubic NLS in Three Dimen- sions with Large Data......Page 60
2.3 The Radially Symmetric, Cubic Problem in Four Dimensions......Page 65
3.1 Small Data Energy-Critical Problem......Page 77
3.2 Profile Decomposition for the Energy-Critical Problem......Page 85
3.3 Global Well-Posedness and Scattering When d ≥5......Page 98
3.4 Interaction Morawetz Estimate......Page 109
4.1 Bilinear Estimates......Page 115
4.2 Mass-Critical Profile Decomposition......Page 122
4.3 Radial Mass-Critical Problem in Dimensions d ≥2......Page 141
4.4 Nonradial Mass-Critical Problem in Dimensions d ≥3......Page 159
5.1 The Energy-Critical Problem in Dimensions Three and Four......Page 177
5.2 Three-Dimensional Energy-Critical Problem......Page 191
5.3 The Mass-Critical Problem When d = 1......Page 204
5.4 The Two-Dimensional Mass-Critical Problem......Page 227
References......Page 249
Index......Page 254

下载方式
购买后可查看 购买按钮在底部

常见问题

  • question_answer
    解压密码,提取码在哪?
    keyboard_arrow_down
    • 均在下载旁边哦,请注意查看,如果没有则是不需要密码
  • question_answer
    文件不符合描述怎么办?
    keyboard_arrow_down
    • 如果有文件问题,可以通过 卖家联系方式 联系卖家,如果 联系不上卖家 或 卖家无法解决则可以在我的订单页面申请售后
  • question_answer
    其他
    keyboard_arrow_down
    • 3.本文件为公益分享,文件由网上采集而来,如有侵权等问题,请及时联系客服删除
      常见问题及官方客服联系方式:点击前往
      售后问题处理方式:点击前往
-到底部了哦-
微信扫码支付
离焦非线性薛定谔方程-Defocusing Nonlinear Schrodinger Equations
支付金额: 共计:¥0.0

添加收藏

创建新合集