On a decomposition formulae for the solutions of a class of partial pifferential equations of even order

Authors : S SÜRAY

Pages : 0-0

Doi:10.1501/Commua1_0000000630

View : 14 | Download : 10

Publication Date : 1973-01-01

Article Type : Research Paper

Abstract :A Weinstein and L. E. Payne had obtained decomposition formulae for the Solutions of the equation T^ k™ u = O, where Lk n S i=l 32 a xı2 32 + + — y 8 In this paper, we will extend the decomposition formulae for the Solutions of the equation m a2 i=ı SXj2 V i-1 Xi d Xj u = 0. u + d 1. Let us consider the differential operatör a2 5 ax .2 + -«k insert ignore into journalissuearticles values(1 Xk a X,■k k < n); where e R is an arbitrary constant. Let the function u u insert ignore into journalissuearticles values(x 2,.- - ■ ,); e be the solution of the eguation ‘n, Li `“k u = 0. X n a Such a solution will be denoted by u {aı^}.
Keywords : decomposition formulae, solutions of a class, partial pifferential equations