Linear Partial Differential Operators / by Lars Hörmander
| データ種別 | 電子書籍 |
|---|---|
| 版 | 1st ed. 1963. |
| 出版者 | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
| 出版年 | 1963 |
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| 書誌ID | OB01019411 |
|---|---|
| 本文言語 | 英語 |
| 一般注記 | I: Functional analysis -- I. Distribution theory -- II. Some special spaces of distributions -- II: Differential operators with constant coefficients -- III. Existence and approximation of solutions of differential equations -- IV. Interior regularity of solutions of differential equations -- V. The Cauchy problem (constant coefficients) -- III: Differential operators with variable coefficients -- VI. Differential equations which have no solutions -- VII. Differential operators of constant strength -- VIII. Differential operators with simple characteristics -- IX. The Cauchy problem (variable coefficients) -- X. Elliptic boundary problems -- Appendix. Some algebraic lemmas -- Index of notations. License restrictions may limit access Summary: The aim of this book is to give a systematic study of questions con cerning existence, uniqueness and regularity of solutions of linear partial differential equations and boundary problems. Let us note explicitly that this program does not contain such topics as eigenfunction expan sions, although we do give the main facts concerning differential operators which are required for their study. The restriction to linear equations also means that the trouble of achieving minimal assumptions concerning the smoothness of the coefficients of the differential equations studied would not be worth while; we usually assume that they are infinitely differenti able. Functional analysis and distribution theory form the framework for the theory developed here. However, only classical results of functional analysis are used. The terminology employed is that of BOURBAKI. To make the exposition self-contained we present in Chapter I the elements of distribution theory that are required. With the possible exception of section 1.8, this introductory chapter should be bypassed by a reader who is already familiar with distribution theory |
| 著者標目 | *Hörmander, Lars SpringerLink (Online service) |
| 統一書名標目 | Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics, |
| 件 名 | LCSH:Differential equations LCSH:Operator theory LCSH:Mathematical analysis FREE:Differential Equations FREE:Operator Theory FREE:Integral Transforms and Operational Calculus |
| 分 類 | LCC:QA370-380 DC23:515.35 |
| 巻冊次 | ISBN:9783642461750 RefWorks出力（各巻） print ; ISBN:9783642461774 RefWorks出力（各巻） print ; ISBN:9783540045007 RefWorks出力（各巻） print ; ISBN:9783642461767 RefWorks出力（各巻） |
| 資料種別 | 機械可読データファイル |
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