Accession Number : AD0739592

Title :   Nonlinear Evolution Equations in Banach Spaces.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Crandall,M. G. ; Pazy,A.

Report Date : FEB 1972

Pagination or Media Count : 61

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)

Descriptors :   (*NONLINEAR DIFFERENTIAL EQUATIONS, BANACH SPACE), OPERATORS(MATHEMATICS), BOUNDARY VALUE PROBLEMS, INEQUALITIES, NUMERICAL INTEGRATION, THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE