Semigroups of Bounded Operators and Second-Order Elliptic and Parabolic Partial Differential Equations
暫譯: 有界算子的半群與二階橢圓及拋物型偏微分方程
Lorenzi, Luca, Rhandi, Adbelaziz
- 出版商: CRC
- 出版日期: 2020-12-29
- 售價: $8,100
- 貴賓價: 9.5 折 $7,695
- 語言: 英文
- 頁數: 480
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 0367206293
- ISBN-13: 9780367206291
海外代購書籍(需單獨結帳)
商品描述
Semigroups of Bounded Operators and Second-Order Elliptic and Parabolic Partial Differential Equations aims to propose a unified approach to elliptic and parabolic equations with bounded and smooth coefficients. The book will highlight the connections between these equations and the theory of semigroups of operators, while demonstrating how the theory of semigroups represents a powerful tool to analyze general parabolic equations.
Features
- Useful for students and researchers as an introduction to the field of partial differential equations of elliptic and parabolic types
- Introduces the reader to the theory of operator semigroups as a tool for the analysis of partial differential equations
商品描述(中文翻譯)
《有界算子的半群與二階橢圓及拋物型偏微分方程》旨在提出一種統一的方法來處理具有有界和平滑係數的橢圓和拋物型方程。本書將強調這些方程與算子半群理論之間的聯繫,同時展示半群理論如何成為分析一般拋物型方程的強大工具。
特色
- 對於學生和研究人員來說,作為橢圓和拋物型偏微分方程領域的入門書籍非常有用
- 介紹算子半群理論作為分析偏微分方程的工具
作者簡介
Luca Lorenzi is Full Professor of Mathematical Analysis at University of Parma (Italy). He received his PhD in Mathematics from the University of Pisa (Italy) in 2001. In 2000 he got a permanent position as assistant professor in Mathematical Analysis at the University of Parma and he was promoted to associate professor in 2006 still at the University of Parma. In 2013 he got the Italian National habilitation as full professor in Mathematical Analysis. His research interests are mainly focused on Partial Differential Equations. In particular, Evolution Equations and Operator Semigroups, Non-autonomous Differential Equations, Elliptic and Parabolic Differential Operators with Unbounded Coefficients. He has authored or co-authored over 60 papers published on international journals and three scientific monographs.
Abdelaziz Rhandi is Full Professor of Mathematical Analysis at University of Salerno (Italy). Before joining Salerno University in 2006, he served as Full Professor of Mathematics at the University of Marrakesh (Morocco) since 1999. He received his first PhD in Mathematics from the University of Besançon (France) and the second one from the University of Tübingen (Germany). In 2003, he got the Alexander von Humboldt Fellow and was the winner of the 2006 HP Technology for Teaching Higher Education Prize. He has worked as a visiting professor in several universities in Algeria, France, Germany, Italy, Tunisia and USA. His research interests are mainly focused on Applied Functional Analysis and Partial Differential Equations. In particular, Evolution Equations and Operator Semigroups, Non-autonomous Differential Equations, Elliptic and Parabolic Differential Operators with Unbounded Coefficients.
作者簡介(中文翻譯)
Luca Lorenzi 是義大利帕爾馬大學的數學分析全職教授。他於2001年在義大利比薩大學獲得數學博士學位。2000年,他在帕爾馬大學獲得數學分析助理教授的永久職位,並於2006年晉升為副教授,仍在帕爾馬大學任教。2013年,他獲得義大利國家全職教授的資格認證,專攻數學分析。他的研究興趣主要集中在偏微分方程上,特別是演化方程和算子半群、非自治微分方程、以及具有無界係數的橢圓和拋物微分算子。他已發表或共同發表超過60篇國際期刊論文和三本科學專著。
Abdelaziz Rhandi 是義大利薩萊諾大學的數學分析全職教授。在2006年加入薩萊諾大學之前,他自1999年起在摩洛哥馬拉喀什大學擔任數學全職教授。他在法國比桑頌大學獲得第一個數學博士學位,並在德國圖賓根大學獲得第二個博士學位。2003年,他獲得亞歷山大·馮·洪堡獎學金,並於2006年獲得HP高等教育教學技術獎。他曾在阿爾及利亞、法國、德國、義大利、突尼西亞和美國的多所大學擔任訪問教授。他的研究興趣主要集中在應用泛函分析和偏微分方程上,特別是演化方程和算子半群、非自治微分方程、以及具有無界係數的橢圓和拋物微分算子。