On a Linear Partial Differential Equation of the Higher Order in Two Variables with Initial Condition Whose Coefficients are Real-valued Simple Step Functions
Authors
Gogi Pantsulaia
I. Vekua Institute of Applied Mathematics, Tbilisi State University, B. P. 0143, University St. 2, Tbilisi, Georgia
Givi Giorgadze
Department of Mathematics, Georgian Technical University, B. P. 0175, Kostava St. 77, Tbilisi 75, Georgia
Linear partial differential equation of the higher order in two variables;Fourier differential operator
Abstract
" By using the method developed in the paper [Georg. Inter. J. Sci. Tech., Volume 3, Issue 1 (2011), 107-129], it is obtained a representation in an explicit form of the weak solution of a linear partial differential equation of the higher order in two variables with initial condition whose coefficients are real-valued simple step functions."
