Partial Differential Equations and Functional Analysis: Mark Vishik: Life and Scientific Legacy
暫譯: 偏微分方程與泛函分析:馬克·維希克的生平與科學遺產
Comech, Andrew, Komech, Alexander, Vishik, Mikhail
- 出版商: Birkhauser Boston
- 出版日期: 2024-10-15
- 售價: $5,590
- 貴賓價: 9.5 折 $5,311
- 語言: 英文
- 頁數: 338
- 裝訂: Quality Paper - also called trade paper
- ISBN: 3031336836
- ISBN-13: 9783031336836
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商品描述
The book is based on the memoirs of his friends and students, as well as on the recollections of Mark Vishik himself, and contains a detailed description of his biography: childhood in Lwów, his connections with the famous Lwów school of Stefan Banach, a difficult several year long journey from Lwów to Tbilisi after the Nazi assault in June 1941, going to Moscow and forming his own school of differential equations, whose central role was played by the famous Vishik Seminar at the Department of Mechanics and Mathematics at Moscow State University. The reader is introduced to a number of remarkable scientists whose lives intersected with Vishik's, including S. Banach, J. Schauder, I. N. Vekua, N. I. Muskhelishvili, L. A. Lyusternik, I. G. Petrovskii, S. L. Sobolev, I. M. Gelfand, M. G. Krein, A. N. Kolmogorov, N. I. Akhiezer, J. Leray, J.-L. Lions, L. Schwartz, L. Nirenberg, and many others.
The book also provides a detailed description of the main research directions of Mark Vishik written by his students and colleagues, as well as several reviews of the recent development in these directions.
商品描述(中文翻譯)
馬克·維希克(Mark Vishik)是偏微分方程理論中的重要人物之一。他的開創性貢獻對於將泛函分析的方法整合進這一理論中起到了關鍵作用。這本書基於他的朋友和學生的回憶錄,以及馬克·維希克本人對於自己生活的回憶,詳細描述了他的生平:在利沃夫(Lwów)的童年、與著名的利沃夫斯特凡·巴拿赫(Stefan Banach)學派的聯繫、在1941年6月納粹襲擊後從利沃夫到第比利斯(Tbilisi)艱難的數年旅程、前往莫斯科並創立自己的偏微分方程學派,其中著名的維希克研討會(Vishik Seminar)在莫斯科國立大學的力學與數學系中扮演了核心角色。讀者將會認識到許多與維希克生活交集的傑出科學家,包括S. 巴拿赫(S. Banach)、J. 蕭德(J. Schauder)、I. N. 瓦庫阿(I. N. Vekua)、N. I. 穆斯基利什維利(N. I. Muskhelishvili)、L. A. 柳斯特尼克(L. A. Lyusternik)、I. G. 彼得羅夫斯基(I. G. Petrovskii)、S. L. 索博列夫(S. L. Sobolev)、I. M. 格爾凡德(I. M. Gelfand)、M. G. 克雷因(M. G. Krein)、A. N. 科爾莫哥洛夫(A. N. Kolmogorov)、N. I. 阿基耶澤(N. I. Akhiezer)、J. 勒雷(J. Leray)、J.-L. 里昂(J.-L. Lions)、L. 施瓦茨(L. Schwartz)、L. 尼倫堡(L. Nirenberg)等人。這本書還提供了馬克·維希克主要研究方向的詳細描述,這些內容由他的學生和同事撰寫,並包含對這些方向近期發展的幾篇評論。