Accession Number : AD0756692

Title :   On Conservative Boundary Conditions for Operators of Constant Deficit: The Maxwell Operator.

Descriptive Note : Technical summary rept. no. 18,

Corporate Author : UTAH UNIV SALT LAKE CITY DEPT OF MATHEMATICS

Personal Author(s) : Schulenberger,John R.

Report Date : NOV 1972

Pagination or Media Count : 42

Abstract : For the Maxwell operator in R(sup 3, sub +) conservative boundary conditions of the following type are studied: on the boundary (R sub 2) x (0) the real and imaginary parts of the function should belong to a prescribed subspace of (R sup 6). There is a natural equivalence relation on the class of such subspaces and each such subspace belongs to one of two equivalence classes. The principal object of this investigation is to obtain some insight into the coerciveness question for nonelliptic operators whose symbols have constant rank. (Author Modified Abstract)

Descriptors :   (*PARTIAL DIFFERENTIAL EQUATIONS, THEOREMS), MATRICES(MATHEMATICS), INTEGRALS, NUMERICAL INTEGRATION, OPERATORS(MATHEMATICS), SCATTERING

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE