TY - JOUR
T1 - On a Linear Partial Differential Equation of the Higher Order in Two Variables with Initial Condition Whose Coefficients are Real-valued Simple Step Functions
AU - Pantsulaia , Gogi
AU - Giorgadze , Givi
JO - Journal of Partial Differential Equations
VL - 1
SP - 1
EP - 13
PY - 2016
DA - 2016/03
SN - 29
DO - http://doi.org/10.4208/jpde.v29.n1.1
UR - https://global-sci.org/intro/article_detail/jpde/5074.html
KW - Linear partial differential equation of the higher order in two variables
KW - Fourier differential operator
AB -  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.