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Keywords
- Cauchy problem
- nonlinear differential equations
- partial differential equations
About this book
The present article is based on the Fermi Lectures I gave in May, 1985, at Scuola Normale Superiore, Pisa, in which I discussed various methods for solving the Cauchy problem for abstract nonlinear differential equations of evolution type. Here I present a detailed exposition of one of these methods, which deals with “elliptic-hyperbolic” equations in the abstract form and which has applications, among other things, to mixed initial-boundary value problems for certain nonlinear partial differential equations, such as elastodynamic and Schrödinger equations.
Bibliographic Information
Book Title: Abstract differential equations and nonlinear mixed problems
Authors: Tosio Kato
Series Title: Publications of the Scuola Normale Superiore
Publisher: Edizioni della Normale Pisa
Copyright Information: Edizioni della Normale 1988
Softcover ISBN: 978-88-7642-248-5Due: 01 October 1988
Series ISSN: 2239-1460
Series E-ISSN: 2532-1668
Edition Number: 1
Number of Pages: 87