Nonlinear Analysis - Theory and Methods
暫譯: 非線性分析：理論與方法
Papageorgiou, Nikolaos S., Rădulescu, Vicenţiu D., Repovs, Dusan D.
- 出版商: Springer
- 出版日期: 2019-03-08
- 售價: $5,910
- 貴賓價: 9.5 折 $5,615
- 語言: 英文
- 頁數: 577
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 3030034291
- ISBN-13: 9783030034290
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商品描述
This book emphasizes those basic abstract methods and theories that are useful in the study of nonlinear boundary value problems. The content is developed over six chapters, providing a thorough introduction to the techniques used in the variational and topological analysis of nonlinear boundary value problems described by stationary differential operators. The authors give a systematic treatment of the basic mathematical theory and constructive methods for these classes of nonlinear equations as well as their applications to various processes arising in the applied sciences. They show how these diverse topics are connected to other important parts of mathematics, including topology, functional analysis, mathematical physics, and potential theory. Throughout the book a nice balance is maintained between rigorous mathematics and physical applications. The primary readership includes graduate students and researchers in pure and applied nonlinear analysis.
商品描述(中文翻譯)
本書強調那些在研究非線性邊值問題中有用的基本抽象方法和理論。內容分為六個章節，全面介紹了在由靜態微分算子描述的非線性邊值問題中使用的變分和拓撲分析技術。作者對這些類別的非線性方程的基本數學理論和建構方法進行了系統的處理，以及它們在應用科學中出現的各種過程中的應用。他們展示了這些多樣化主題如何與數學的其他重要部分相連，包括拓撲學、泛函分析、數學物理和勢理論。整本書在嚴謹的數學和物理應用之間保持了良好的平衡。主要讀者包括純粹和應用非線性分析的研究生和研究人員。
作者簡介
Nikolaos S. Papageorgiou graduated from the Massachusetts Institute of Technology and received his PhD in Applied Mathematics from Harvard University. He is Professor at the National Technical University of Athens, Greece. He has written more than 800 research papers and ten books.
Vicenţiu Rǎdulescu received his PhD and Habilitation from the University of Paris 6 under the supervision of Haim Brezis. He is Senior Researcher at the Institute of Mathematics, Physics and Mechanics in Ljubljana, Professor at the AGH University of Science and Technology in Krakow, and Professorial Fellow at the Institute of Mathematics of the Romanian Academy. He has written more than 300 research papers and ten books.
Dusan Repovs received his PhD from Florida State University. He is Professor at the University of Ljubljana and Head of the Nonlinear Analysis, Topology, and Geometry Group at the Institute of Mathematics, Physics and Mechanics in Ljubljana. He is the author of more than 400 research papers and 3 books (Kluwer, CRC Press, European Mathematical Society). He is a member of the European Academy of Arts and Sciences.
作者簡介(中文翻譯)
尼古拉斯·S·帕帕喬治烏（Nikolaos S. Papageorgiou）畢業於麻省理工學院，並在哈佛大學獲得應用數學博士學位。他是希臘雅典國立技術大學的教授。他已撰寫超過800篇研究論文和十本書籍。
維琴提烏·拉杜列斯庫（Vicențiu Rădulescu）在巴黎第六大學獲得博士學位及資格認證，指導教授為海姆·布雷茲（Haim Brezis）。他是盧布爾雅那數學、物理與力學研究所的高級研究員，克拉科夫科學技術大學的教授，以及羅馬尼亞科學院數學研究所的教授研究員。他已撰寫超過300篇研究論文和十本書籍。
杜尚·雷波夫斯（Dusan Repovs）在佛羅里達州立大學獲得博士學位。他是盧布爾雅那大學的教授，並擔任盧布爾雅那數學、物理與力學研究所非線性分析、拓撲學與幾何學小組的負責人。他是超過400篇研究論文和3本書籍的作者（Kluwer、CRC Press、歐洲數學學會）。他是歐洲藝術與科學學院的成員。
