Solution of Initial Value Problems in Classes of Generalized Analytic Functions

Solution of Initial Value Problems in Classes of Generalized Analytic Functions by Wolfgang Tutschke.

The purpose of the present book is to solve initial value problems in classes of generalized analytic functions as well as to explain the functional-analytic background material in detail. From the point of view of the theory of partial differential equations the book is intend­ ed to generalize the...

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Bibliographic Details
Main Author: Tutschke, Wolfgang (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1989.
Edition:1st ed. 1989.
Series:Springer eBook Collection.
Subjects:
Mathematical analysis.
Analysis (Mathematics).
Mathematical physics.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • 0. Introduction
  • 1. Initial Value Problems in Banach Spaces
  • 2. Scales of Banach Spaces
  • 3. Solution of Initial Value Problems in Scales of Banach Spaces
  • 4. The Classical Cauchy-Kovalevskaya Theorem
  • 5. The Holmgren Theorem
  • 6. Basic Properties of Generalized Analytic Functions
  • 7. Initial Value Problems with Generalized Analytic Initial Functions
  • 8. Contraction-Mapping Principles in Scales of Banach Spaces
  • 9. Further Existence Theorems for Initial Value Problems in Scales of Banach Spaces
  • 10. Further Uniqueness Theorems
  • References.

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