On a Linear Partial Differential Equation of the Higher Order in Two Variables with Initial Condition Whose Coefficients are Real-valued Simple Step Functions

Gogi Pantsulaia; Givi Giorgadze

doi:10.4208/jpde.v29.n1.1

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

DOI:

https://doi.org/10.4208/jpde.v29.n1.1

Keywords:

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."

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Published

2016-03-05

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Issue

Vol. 29 No. 1 (2016)

Section

Articles

How to Cite

On a Linear Partial Differential Equation of the Higher Order in Two Variables with Initial Condition Whose Coefficients are Real-valued Simple Step Functions. (2016). Journal of Partial Differential Equations, 29(1), 1-13. https://doi.org/10.4208/jpde.v29.n1.1