Accession Number : AD0646026

Title :   ON THE FIRST VARIATION OF THE SOLUTION TO BOUNDARY PROBLEMS IN THE THEORY OF THE POTENTIAL FOR THE VARIATION OF THE BOUNDARY SURFACE,

Corporate Author : HONEYWELL INC ST PAUL MINN RESEARCH DEPT

Personal Author(s) : Kronberg,V. A.

Report Date : JUL 1961

Pagination or Media Count : 15

Abstract : It is proved that the first variation of the solution to the boundary problem in potential theory is the linear functional operator on the function eta, which transforms the original surface, depending in a general case on the free member of the integral equation in the given boundary problem. The considerations are made in a general form for the exterior problem of Neumann. The simplifications obtained for the problem of Dirichlet will be evident. The course for the solution of the problem has been indicated by M. G. Krein.

Descriptors :   (*POTENTIAL THEORY, *BOUNDARY VALUE PROBLEMS), (*DIFFERENTIAL GEOMETRY, BOUNDARY VALUE PROBLEMS), CALCULUS OF VARIATIONS, COMPLEX VARIABLES, FUNCTIONAL ANALYSIS, USSR

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE