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

Local And Global Analysis of Nonlinear Dispersive And Wave Equations
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Local And Global Analysis of Nonlinear Dispersive And Wave Equations pdf epub mobi 著者簡介

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

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發表於2024-11-27

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

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

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


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Local And Global Analysis of Nonlinear Dispersive And Wave Equations pdf epub mobi 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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出版者:American Mathematical Society
作者:Terence Tao
出品人:
頁數:373
譯者:
出版時間:2006-7-1
價格:USD 57.00
裝幀:Paperback
isbn號碼:9780821841433
叢書系列:Conference Board of the Mathematical Sciences

圖書標籤: PDE  數學  nonlinear  色散方程  偏微分方程7  monograph  math  Math   

Local And Global Analysis of Nonlinear Dispersive And Wave Equations 2024 pdf epub mobi 電子書 下載
想要找書就要到 本本書屋
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 pdf epub mobi 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☆☆☆☆☆

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

評分☆☆☆☆☆

陶哲軒神作

評分☆☆☆☆☆

因為想瞭解nonlinear wave選瞭這本書，但不是個明智的選擇，尤其在沒學過調和分析的情況下。但Tao很有洞見，尤其第一章所錶述的內容和之後章節的聯係。細節太少，typo多到後來不想去看勘誤錶，過多的例子和證明放在瞭練習。初學者可以參考Tadahiro Oh "Nonlinear Schrödinger Equations"這門課的筆記和references。 E. L. 認為最後一章關於wave maps的內容過於陳舊。

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

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