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Titlebook: Some Improperly Posed Problems of Mathematical Physics; M. M. Lavrentiev Book 1967 Springer-Verlag Berlin · Heidelberg 1967 Mathematische

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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Titlebook: Some Improperly Posed Problems of Mathematical Physics;  M. M. Lavrentiev Book 1967 Springer-Verlag Berlin · Heidelberg 1967 Mathematische
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
doihttps://doi.org/10.1007/978-3-642-88210-4
isbn_softcover978-3-642-88212-8
isbn_ebook978-3-642-88210-4Series ISSN 0081-3877
issn_series 0081-3877
copyrightSpringer-Verlag Berlin · Heidelberg 1967
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Analytic Continuation,The problem of analytic continuation is investigated in this chapter. Estimates of “stability” for the solution of some problems are given, and concrete solutions are constructed.
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Inverse Problems for Differential Equations,We consider two types of inverse problems for linear differential equations.
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978-3-642-88212-8Springer-Verlag Berlin · Heidelberg 1967
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0081-3877 dary of the Region of Regularity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 § 2 The Cauchy Problem for the Laplace Equation . . . . . . . 18 §978-3-642-88212-8978-3-642-88210-4Series ISSN 0081-3877
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