Accession Number : AD0766980

Title :   Action Principles for Electromagnetism,

Corporate Author : POLITECNICO DI MILANO (ITALY) ISTITUTO DI MATEMATICA

Personal Author(s) : Morosi,Carlo

Report Date : 11 DEC 1971

Pagination or Media Count : 13

Abstract : The possibility of a variational formulation for linear initial value problems, discovered by Gurtin, has been recently discussed in detail by Tonti, who put in evidence the importance of a convolution bilinear form for the existence of such a variational formulation. In particular, using a convolution bilinear form, one can give a variational formulation for linear initial value problems in a way that greatly simplifies the Gurtin method. The purpose of the paper is to apply the convolution bilinear form to the variational formulation of the boundary-initial value problem of the electromagnetic field. An analysis of the operator features of this problem is made, and a variational formulation is given, simpler than the one obtained with the Gurtin method.

Descriptors :   (*ELECTROMAGNETISM, BOUNDARY VALUE PROBLEMS), CALCULUS OF VARIATIONS, BOUNDARY VALUE PROBLEMS, THEOREMS, ITALY

Subject Categories : Electricity and Magnetism

Distribution Statement : APPROVED FOR PUBLIC RELEASE