Accession Number : AD0717613

Title :   A Coerciveness Inequality for a Class of Nonelliptic Operators of Constant Deficit.

Descriptive Note : Technical summary rept.,

Corporate Author : DENVER RESEARCH INST COLO DIV OF MATHEMATICAL SCIENCES

Personal Author(s) : Schulenberger,John R. ; Wilcox,Calvin H.

Report Date : OCT 1970

Pagination or Media Count : 25

Abstract : The paper presents a coerciveness inequality for a class of nonelliptic first-order matrix partial differential operators of the form Lambda = -i E(x) sup(-1) Summation, j= 1 to n of (A sub j) (D sub j). Here x=(x sub 1, x sub 2, ..., x sub n) epsilon (R sup n), (D sub j) = partial derivative with respect to j and E(x), A sub 1, A sub 2, ..., A sub n are m x m Hermitian matrices with the properties that A sub 1, A sub 2, ..., A sub n are constant, E(x) is uniformly positive definite on R sup n and E(x) and the derivatives (D sub 1) E(x), (D sub 2) E(x), ..., (D sub n) E(x) are continuous and bounded on R sup n. (Author)

Descriptors :   (*PARTIAL DIFFERENTIAL EQUATIONS, *INEQUALITIES), MATRICES(MATHEMATICS), HILBERT SPACE, THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE