书目名称 | Partial Differential Equations |
编辑 | Fritz John |
视频video | |
丛书名称 | Applied Mathematical Sciences |
图书封面 |  |
描述 | These Notes grew out of a course given by the author in 1952-53. Though the field of Partial Differential Equations has changed considerably since those days, particularly under the impact of methods taken from Functional Analysis, the author feels that the introductory material offered here still is basic for an understanding of the subject. It supplies the necessary intuitive foundation which motivates and anticipates abstract formulations of the questions and relates them to the description of natual phenomena. In the present edition, only minor corrections have been made in the text. An Index and up-to-date listing of books recommended for further study have been added. Fritz John New York November 19, 1970 v TABLE OF CONTENTS Introduetion 1 CHAPl‘ER I - TEE SINGLE FIRST ORDER EQUATION 1. The linear and quasi-linear equations. 6 The general first order equation for a funetion 2. of two variables. • • • • • • • • • 15 The general first order equation for a funetion 3. of n independent variables. • • • • • 37 CHAPl‘ER II - TEE CAUCIIT PROBLEM FOR HIGEER ORDER EQUATIONS 1. Analytie funetions of several real variables • Formulation of the Cauehy problem. The not ion 2. of eharaeter |
出版日期 | Textbook 19711st edition |
关键词 | analytic function; Cauchy problem; differential equation; functional analysis; hyperbolic equation; integ |
版次 | 1 |
doi | https://doi.org/10.1007/978-1-4615-9966-1 |
isbn_ebook | 978-1-4615-9966-1Series ISSN 0066-5452 Series E-ISSN 2196-968X |
issn_series | 0066-5452 |
copyright | Springer-Verlag New York Inc. 1971 |