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Local And Global Analysis of Nonlinear Dispersive And Wave Equations 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

Local And Global Analysis of Nonlinear Dispersive And Wave Equations
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Terence Tao 作者
American Mathematical Society
譯者
2006-7-1 出版日期
373 頁數
USD 57.00 價格
Paperback
Conference Board of the Mathematical Sciences 叢書系列
9780821841433 圖書編碼

Local And Global Analysis of Nonlinear Dispersive And Wave Equations 在線電子書 圖書標籤: PDE  數學  nonlinear  色散方程  偏微分方程7  monograph  math  Math   

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發表於2024-09-29

Local And Global Analysis of Nonlinear Dispersive And Wave Equations 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

Local And Global Analysis of Nonlinear Dispersive And Wave Equations 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

Local And Global Analysis of Nonlinear Dispersive And Wave Equations 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024


Local And Global Analysis of Nonlinear Dispersive And Wave Equations 在線電子書 用戶評價

評分☆☆☆☆☆

要讀通的話難度很大。很多習題是著名文章的結果，隻是讓讀者去查找文獻。內容講得真的很好，臨界色散方程的基本方法一應俱全。但不應“僅僅通過”這本書來學習色散方程的基礎知識，主要還是去讀原始文章。 可惜接下來若乾年都與色散方程無緣瞭，不過它的附錄我仍然經常查閱。無論如何，我永遠也不會忘記這本書當初給我帶來的震撼。

評分☆☆☆☆☆

要讀通的話難度很大。很多習題是著名文章的結果，隻是讓讀者去查找文獻。內容講得真的很好，臨界色散方程的基本方法一應俱全。但不應“僅僅通過”這本書來學習色散方程的基礎知識，主要還是去讀原始文章。 可惜接下來若乾年都與色散方程無緣瞭，不過它的附錄我仍然經常查閱。無論如何，我永遠也不會忘記這本書當初給我帶來的震撼。

評分☆☆☆☆☆

要讀通的話難度很大。很多習題是著名文章的結果，隻是讓讀者去查找文獻。內容講得真的很好，臨界色散方程的基本方法一應俱全。但不應“僅僅通過”這本書來學習色散方程的基礎知識，主要還是去讀原始文章。 可惜接下來若乾年都與色散方程無緣瞭，不過它的附錄我仍然經常查閱。無論如何，我永遠也不會忘記這本書當初給我帶來的震撼。

評分☆☆☆☆☆

PDE的代數（對稱，守恒律，顯示錶達）和分析（漸進，存在和唯一）；方程的幾何物理直覺和嚴格分析之間平衡。自治方程=時間平移不變量=嵌入；第一章一階擬綫性方程組的柯西問題關鍵概念是解析性；諾特定理本質聯係瞭對稱和守恒；

評分☆☆☆☆☆

陶哲軒神作

Local And Global Analysis of Nonlinear Dispersive And Wave Equations 在線電子書 著者簡介

Local And Global Analysis of Nonlinear Dispersive And Wave Equations 在線電子書 著者簡介

Local And Global Analysis of Nonlinear Dispersive And Wave Equations 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

Local And Global Analysis of Nonlinear Dispersive And Wave Equations 在線電子書 圖書描述

Among nonlinear PDEs, dispersive and wave equations form an important class of equations. These include the nonlinear Schrödinger equation, the nonlinear wave equation, the Korteweg de Vries equation, and the wave maps equation. This book is an introduction to the methods and results used in the modern analysis (both locally and globally in time) of the Cauchy problem for such equations.

Starting only with a basic knowledge of graduate real analysis and Fourier analysis, the text first presents basic nonlinear tools such as the bootstrap method and perturbation theory in the simpler context of nonlinear ODE, then introduces the harmonic analysis and geometric tools used to control linear dispersive PDE. These methods are then combined to study four model nonlinear dispersive equations. Through extensive exercises, diagrams, and informal discussion, the book gives a rigorous theoretical treatment of the material, the real-world intuition and heuristics that underlie the subject, as well as mentioning connections with other areas of PDE, harmonic analysis, and dynamical systems.

As the subject is vast, the book does not attempt to give a comprehensive survey of the field, but instead concentrates on a representative sample of results for a selected set of equations, ranging from the fundamental local and global existence theorems to very recent results, particularly focusing on the recent progress in understanding the evolution of energy-critical dispersive equations from large data. The book is suitable for a graduate course on nonlinear PDE.

Local And Global Analysis of Nonlinear Dispersive And Wave Equations 在線電子書 下載 mobi epub pdf txt 在線電子書下載
想要找書就要到 圖書目錄大全
立刻按 ctrl+D收藏本頁
你會得到大驚喜!!

Local And Global Analysis of Nonlinear Dispersive And Wave Equations 在線電子書 讀後感

評分☆☆☆☆☆

" My personal philosophy that to truly understand a mathematical result one must view it from as many perspectives as possible (including both rigorous arguments and informal heuristics), and must also be able to translate easily from one perspective to an...

評分☆☆☆☆☆

" My personal philosophy that to truly understand a mathematical result one must view it from as many perspectives as possible (including both rigorous arguments and informal heuristics), and must also be able to translate easily from one perspective to an...

評分☆☆☆☆☆

" My personal philosophy that to truly understand a mathematical result one must view it from as many perspectives as possible (including both rigorous arguments and informal heuristics), and must also be able to translate easily from one perspective to an...

評分☆☆☆☆☆

" My personal philosophy that to truly understand a mathematical result one must view it from as many perspectives as possible (including both rigorous arguments and informal heuristics), and must also be able to translate easily from one perspective to an...

評分☆☆☆☆☆

" My personal philosophy that to truly understand a mathematical result one must view it from as many perspectives as possible (including both rigorous arguments and informal heuristics), and must also be able to translate easily from one perspective to an...

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Local And Global Analysis of Nonlinear Dispersive And Wave Equations 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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