Some Improperly Posed Problems of Mathematical Physics
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 probl...
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| Format: | eBook |
| Language: | English |
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Berlin, Heidelberg
Springer Berlin Heidelberg
1967, 1967
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| Edition: | 1st ed. 1967 |
| Series: | Springer Tracts in Natural Philosophy
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- I Formulation of some Improperly Posed Problems of Mathematical Physics
- § 1 Improperly Posed Problems in Metric Spaces
- § 2 A Probability Approach to Improperly Posed Problems
- II Analytic Continuation
- § 1 Analytic Continuation of a Function of One Complex Variable from a Part of the Boundary of the Region of Regularity
- § 2 The Cauchy Problem for the Laplace Equation
- § 3 Determination of an Analytic Function from its Values on a Set Inside the Domain of Regularity
- § 4 Analytic Continuation of a Function of Two Real Variables
- § 5 Analytic Continuation of Harmonic Functions from a Circle
- § 6 Analytic Continuation of Harmonic Function with Cylin drical Symmetry
- III Inverse Problems for Differential Equations
- § 1 The Inverse Problem for a Newtonian Potential
- § 2 A Class of Nonlinear Integral Equations
- § 3 Inverse Problems for Some Non-Newtonian Potentials
- § 4 An Inverse Problem for the Wave Equation
- § 5 On a Class of Inverse Problems for Differential Equations