Partial Differential Equations
暫譯: 偏微分方程
Dibenedetto, Emmanuele, Gianazza, Ugo
- 出版商: Birkhauser Boston
- 出版日期: 2024-10-23
- 售價: $3,370
- 貴賓價: 9.5 折 $3,202
- 語言: 英文
- 頁數: 748
- 裝訂: Quality Paper - also called trade paper
- ISBN: 3031466209
- ISBN-13: 9783031466205
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商品描述
This graduate textbook provides a self-contained introduction to the classical theory of partial differential equations (PDEs). Through its careful selection of topics and engaging tone, readers will also learn how PDEs connect to cutting-edge research and the modeling of physical phenomena. The scope of the Third Edition greatly expands on that of the previous editions by including five new chapters covering additional PDE topics relevant for current areas of active research. This includes coverage of linear parabolic equations with measurable coefficients, parabolic DeGiorgi classes, Navier-Stokes equations, and more. The "Problems and Complements" sections have also been updated to feature new exercises, examples, and hints toward solutions, making this a timely resource for students.
Partial Differential Equations: Third Edition is ideal for graduate students interested in exploring the theory of PDEs and how they connect to contemporary research. It can also serve as a useful tool for more experienced readers who are looking for a comprehensive reference.商品描述(中文翻譯)
這本研究生教科書提供了對於偏微分方程（PDEs）經典理論的獨立介紹。透過精心挑選的主題和引人入勝的語調，讀者將學習到偏微分方程如何與前沿研究及物理現象的建模相連結。第三版的範圍大大擴展了前幾版的內容，新增了五個章節，涵蓋了與當前活躍研究領域相關的額外偏微分方程主題，包括可測係數的線性拋物方程、拋物型 DeGiorgi 類、Navier-Stokes 方程等。此外，「問題與補充」部分也已更新，包含新的練習、範例和解題提示，使其成為學生的及時資源。
偏微分方程：第三版 非常適合對探索偏微分方程理論及其與當代研究的聯繫感興趣的研究生。它也可以作為更有經驗的讀者尋找全面參考資料的有用工具。
作者簡介
Ugo Gianazza is Professor of Mathematical Analysis at the Department of Mathematics F. Casorati of the University of Pavia. His research interests include Regularity for Elliptic and Parabolic Equations. In addition to editing numerous volumes, he also co-authored the 2012 monograph Harnack's Inequality for Degenerate and Singular Parabolic Equation.
作者簡介(中文翻譯)
埃馬努埃爾·迪貝內代托（Emanuele DiBenedetto，1947-2021）是范德堡大學（Vanderbilt University）榮譽百年數學教授。他在范德堡的教學和研究專注於偏微分方程的研究，特別是橢圓型和拋物型方程。他是一位多產的作家，撰寫了超過120篇論文和六本書籍。他曾擔任工業與應用數學學會（Society for Industrial and Applied Mathematics）《數學分析期刊》（Journal on Mathematical Analysis）的主編。此外，他還在二十多個編輯委員會任職，並發表了許多受邀演講。
烏戈·吉安納扎（Ugo Gianazza）是帕維亞大學（University of Pavia）F. Casorati數學系的數學分析教授。他的研究興趣包括橢圓型和拋物型方程的正則性。除了編輯多本專著外，他還共同撰寫了2012年的專著《退化和奇異拋物方程的哈爾納克不等式》（Harnack's Inequality for Degenerate and Singular Parabolic Equation）。
