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Kniha Some Improperly Posed Problems of Mathematical Physics Michail M. Lavrentiev

Some Improperly Posed Problems of Mathematical Physics

Autor: Michail M. Lavrentiev
Jazyk: Angličtina
Vazba: Brožovaná
Vydavatel: Springer, Berlin
Dostupnost: Skladem u dodavatele
Odesíláme za 5-8 dnů
1 147 Kč
This monograph deals with the problems of mathematical physics which are improperly posed in the sen...

Informace o knize

Autor
Michail M. Lavrentiev
Jazyk
Angličtina
Vazba
Kniha - Brožovaná
Vydáno
2012
Stránek
76
EAN
9783642882128
ISBN
3642882129
Enbook ID
06994216
Vydavatel
Springer, Berlin
Hmotnost
159
Rozměry
174 x 236 x 7

Kompletní popis

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 . . . . . . .

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