On the generalization of Kirchhoff formula
Abstract
A solution of the wave equation in the space R(2k+1), with an odd number of dimensions, is presented by means of elementary reasoning. The solution is a generalization of the Kirchhoff formula. A general solution of the Cauchy Problem is deduced from this formula, in a manner similar to that used in the case of three dimensions. This method can also be extended to the wave equation in a heterogeneous medium.
 Publication:

Doklady Akad Nauk Minerologia USSR
 Pub Date:
 May 1975
 Bibcode:
 1975DokAN......256S
 Keywords:

 Cauchy Problem;
 Kirchhoff Law;
 Wave Equations;
 Numerical Analysis;
 Poisson Equation;
 Problem Solving;
 Physics (General)