The Analysis of Linear Partial Differential Operators II: Differential Operators with Constant Coefficients
暫譯: 線性偏微分算子分析 II：具有恆定係數的微分算子
Hörmander, Lars
- 出版商: Springer
- 出版日期: 2004-11-17
- 售價: $2,660
- 貴賓價: 9.8 折 $2,606
- 語言: 英文
- 頁數: 390
- 裝訂: Quality Paper - also called trade paper
- ISBN: 3540225161
- ISBN-13: 9783540225164
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相關分類:
微積分 Calculus
海外代購書籍(需單獨結帳)
商品描述
In this second volume (4 volume work), Lars Hörmander looks at operators with constant coefficients. An analysis of the existence and regularity of (fundamental) solutions in the first two chapters is followed by a thorough study of the Cauchy problem. He then moves on to cover spectral theory of short range perturbations of operators with constant coefficients, and Fourier-Laplace representations of solutions of homogeneous differential equations with constant coefficients. The last chapter presents a study of the closely related subject of convolution operators.
商品描述(中文翻譯)
在這第二卷（共四卷），Lars Hörmander 研究了具有恆定係數的算子。前兩章對（基本）解的存在性和正則性進行了分析，隨後深入研究了 Cauchy 問題。接著，他討論了具有恆定係數的算子的短程擾動的譜理論，以及恆定係數齊次微分方程解的傅立葉-拉普拉斯表示法。最後一章則研究了與之密切相關的卷積算子主題。
作者簡介
Biography of Lars Hörmander
Born on January 24, 1931, on the southern coast of Sweden, Lars Hörmander did his secondary schooling as well as his undergraduate and doctoral studies in Lund. His principle teacher and adviser at the University of Lund was Marcel Riesz until he returned, then Lars Gårding. In 1956 he worked in the USA, at the universities of Chicago, Kansas, Minnesota and New York, before returning to a chair at the University of Stockholm. He remained a frequent visitor to the US, particularly to Stanford and was Professor at the IAS, Princeton from 1964 to 1968. In 1968 he accepted a chair at the University of Lund, Sweden, where, today, he is Emeritus Professor.
Hörmander's lifetime work has been devoted to the study of partial differential equations and its applications in complex analysis. In 1962 he was awarded the Fields Medal for his contributions to the general theory of linear partial differential operators. Hisbook Linear Partial Differential Operators published 1963 by Springer in the Grundlehren series was the first major account of this theory. His four volume text The Analysis of Linear Partial Differential Operators published in the same series 20 years later illustrates the vast expansion of the subject in that period.
作者簡介(中文翻譯)
拉斯·霍爾曼德傳記
拉斯·霍爾曼德於1931年1月24日出生於瑞典南部海岸，他在隆德完成了中學、學士及博士學位的學習。他在隆德大學的主要老師和指導教授是馬塞爾·里耶茲（Marcel Riesz），直到他回國後，則是拉斯·戈丁（Lars Gårding）。1956年，他在美國工作，曾任教於芝加哥、堪薩斯、明尼蘇達和紐約等大學，之後回到斯德哥爾摩大學擔任教授。他經常造訪美國，特別是斯坦福大學，並於1964年至1968年間擔任普林斯頓高等研究院（IAS）的教授。1968年，他接受了瑞典隆德大學的教授職位，至今為名譽教授。
霍爾曼德一生的工作致力於偏微分方程及其在複分析中的應用。1962年，他因對線性偏微分算子一般理論的貢獻而獲得菲爾茲獎（Fields Medal）。他於1963年由施普林格（Springer）出版的《線性偏微分算子》（Linear Partial Differential Operators）是該理論的第一部重要著作。20年後，他在同一系列中出版的四卷本《線性偏微分算子的分析》（The Analysis of Linear Partial Differential Operators）展示了該領域在此期間的廣泛擴展。
