Accession Number : ADA018003

Title :   Variational Methods and Monotonicity.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Tartar,L.

Report Date : OCT 1975

Pagination or Media Count : 77

Abstract : Nonlinear equations and variational inequalities in reflexive Banach spaces are considered using the concept of pseudomonotone operators of H. Brezis. The existence theory is based on finite dimensional approximations (solved by using Brouwer fixed point theorem) and a limiting procedure requiring weak continuity properties. Some continuous dependence properties are given and applied to the penalization method. Then some examples are studied (corresponding to heat diffusion). Finally some results on Hammerstein equations are derived.

Descriptors :   *BANACH SPACE, *OPERATORS(MATHEMATICS), *NONLINEAR DIFFERENTIAL EQUATIONS, APPROXIMATION(MATHEMATICS), THEOREMS, CONVERGENCE, PARTIAL DIFFERENTIAL EQUATIONS, INEQUALITIES

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE