BOUNDARY VALUE PROBLEMS FOR PARTIAL DIFFERENTIAL EQUATIONS AND APPLICATIONS IN ELECTRODYNAMICS

This text is devoted to boundary value problems for general partial differential equations. It develops efficient methods of resolution of boundary value problems for elliptic equations, based on the theory of analytic functions, having great theoretical and practical importance. A new approach to the investigation of electromagnetic fields is sketched, permitting laws of propagation of electromagnetic energy at a great distance to be outlined and asymptotic formulae for solutions of Maxwell's equation to be obtained. These equations are also applied to the efficient resolution of problems.