Abstract Differential Equations and Nonlinear Mixed Problems

By Toiso Kato and Tosio Kato

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 Schr dinger equations.

• Format: Paperback
• Language: English
• ISBN: 887642248X
• ISBN13: 9788876422485
• Release Date: October 1988
• Publisher: Edizioni Della Normale
• Length: 87 Pages
• Weight: 0.46 lbs.
• Dimensions: 0.3" x 6.7" x 9.5"