Nonlinear Evolution Equations in Banach Spaces.
Abstract
The evolution problem 0 belong to du/dt + A(t)u(t), u(s) = x, where the A(t) are nonlinear operators acting in a Banach space, is studied. Evolution operators are constructed from the A(t) under various assumptions. Basic properties of these evolution operators are established and their relationship to the evolution equation is studied. The results obtained extend several known existence theorems and provide generalized solutions of the evolution equation in more general cases. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 01, 1972
- Accession Number
- AD0739592
Entities
People
- A. Pazy
- M. G. Crandall
Organizations
- University of Wisconsin–Madison