书目名称 | Some Improperly Posed Problems of Mathematical Physics |
编辑 | M. M. Lavrentiev |
视频video | |
丛书名称 | Springer Tracts in Natural Philosophy |
图书封面 |  |
描述 | This monograph deals with the problems of mathematical physics which are improperly posed in the sense of Hadamard. The first part covers various approaches to the formulation of improperly posed problems. These approaches are illustrated by the example of the classical improperly posed Cauchy problem for the Laplace equation. The second part deals with a number of problems of analytic continuations of analytic and harmonic functions. The third part is concerned with the investigation of the so-called inverse problems for differential equations in which it is required to determine a dif ferential equation from a certain family of its solutions. Novosibirsk June, 1967 M. M. LAVRENTIEV Table of Contents Chapter I Formu1ation of some Improperly Posed Problems of Mathematic:al Physics § 1 Improperly Posed Problems in Metric Spaces. . . . . . . . . § 2 A Probability Approach to Improperly Posed Problems. . . 8 Chapter II Analytic Continuation § 1 Analytic Continuation of a Function of One Complex Variable from a Part of the Boundary of the Region of Regularity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 § 2 The Cauchy Problem for the Laplace Equation . . . . . . . 18 § |
出版日期 | Book 1967 |
关键词 | Mathematische Physik; Potential; equation; function; mathematical physics; variable |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-642-88210-4 |
isbn_softcover | 978-3-642-88212-8 |
isbn_ebook | 978-3-642-88210-4Series ISSN 0081-3877 |
issn_series | 0081-3877 |
copyright | Springer-Verlag Berlin · Heidelberg 1967 |