Accession Number : AD0748861

Title :   Abstract and Computational Study of Positive Linear Equations of Mathematical Physics,

Corporate Author : CALIFORNIA UNIV LOS ANGELES SCHOOL OF ENGINEERING AND APPLIED SCIENCE

Personal Author(s) : Kree,Paul

Report Date : OCT 1971

Pagination or Media Count : 80

Abstract : An introduction of a class of stationary problems, corresponding to noncoercive (and not self-adjoint) boundary value problems is presented along with numerical approximation of these problems, and examples. A study of corresponding evolution equations; existence of strong solutions satisfying the energy inequality, equivalence between weak and strong solutions, regularity, and numerical approximation is also presented. This theory can be applied, in particular, to mixed boundary problems for Friedrichs systems, and to the transport equation. (Author)

Descriptors :   (*BOUNDARY VALUE PROBLEMS, NUMERICAL ANALYSIS), INEQUALITIES, INTEGRALS, FUNCTIONAL ANALYSIS, MATRICES(MATHEMATICS), THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE