Michail M Lavrentiev

(Author)

Some Improperly Posed Problems of Mathematical Physics (Softcover Reprint of the Original 1st 1967)Paperback - Softcover Reprint of the Original 1st 1967, 19 April 2012

Some Improperly Posed Problems of Mathematical Physics (Softcover Reprint of the Original 1st 1967)
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Part of Series
Springer Tracts in Natural Philosophy
Print Length
76 pages
Language
English
Publisher
Springer
Date Published
19 Apr 2012
ISBN-10
3642882129
ISBN-13
9783642882128

Description

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 § 3 Determination of an Analytic Function from its Values on a Set Inside the Domain of Regularity. . . . . . . . . . . . . 22 § 4 Analytic Continuation of a Function of Two Real Variables 32 § 5 Analytic Continuation of Harmonic Functions from a Circle. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38 § 6 Analytic Continuation of Harmonic Function with Cylin drical Symmetry . . . . . . . . . . . . . . . . . . . . . . . . . 42 Chapter III Inverse Problems for Differential Equations § 1 The Inverse Problem for a Newtonian Potential . . . . . . .

Product Details

Author:
Michail M Lavrentiev
Book Edition:
Softcover Reprint of the Original 1st 1967
Book Format:
Paperback
Country of Origin:
NL
Date Published:
19 April 2012
Dimensions:
23.39 x 15.6 x 0.46 cm
ISBN-10:
3642882129
ISBN-13:
9783642882128
Language:
English
Location:
Berlin, Heidelberg
Pages:
76
Publisher:
Weight:
136.08 gm

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