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Some Improperly Posed Problems of Mathematical Physics: 11 (Springer Tracts in Natural Philosophy) - Hardcover
Inhaltsangabe
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 ...1 8 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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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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Some Improperly Posed Problems of Mathematical Physics
Verlag:
Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 1967
ISBN 10: 3540039848
ISBN 13: 9783540039846
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Hardcover. Zustand: Bon. Ancien livre de bibliothèque. Traces d'usure sur la couverture. Tome 11. Ammareal reverse jusqu'à 15% du prix net de cet article à des organisations caritatives. ENGLISH DESCRIPTION Book Condition: Used, Good. Former library book. Signs of wear on the cover. Volume 11. Ammareal gives back up to 15% of this item's net price to charity organizations. Bestandsnummer des Verkäufers D-607-453
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Some Improperly Posed Problems of Mathematical Physics
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Cloth. Zustand: Good. Zustand des Schutzumschlags: No Dust Jacket. 72 pp. Tightly bound. Corners not bumped. Text is free of markings. (1) Owner's name front end paper. (2) NOTE: EX-LIBRARY COPY. No library markings / stamps on page edges. Bestandsnummer des Verkäufers 021599
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