Accession Number : AD0709952

Title :   NONEXISTENCE OF A CONTINUOUS RIGHT INVERSE FOR SURJECTIVE LINEAR PARTIAL DIFFERENTIAL OPERATORS ON THE SPACES (Gamma sup delta)(Omega).

Descriptive Note : Technical rept.,

Corporate Author : WISCONSIN UNIV MADISON

Personal Author(s) : Cohoon,David K.

Report Date : JUL 1970

Pagination or Media Count : 43

Abstract : The author proves a nonimbeddability result for the Fourier transform operator on the spaces ((gamma sub C)sup delta) (O, b), and uses it to show the nonexistence of a continuous right inverse for certain surjective linear partial differential operators P(D) on the spaces (gamma sup delta) (Omega), where Omega is a P(D)-convex open set. (Author)

Descriptors :   (*PARTIAL DIFFERENTIAL EQUATIONS, VECTOR SPACES), INTEGRAL TRANSFORMS, FOURIER ANALYSIS, CONVEX SETS, BOUNDARY VALUE PROBLEMS, THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE