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

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

Year:    2016

Author:    Gogi Pantsulaia, Givi Giorgadze

Journal of Partial Differential Equations, Vol. 29 (2016), Iss. 1 : pp. 1–13

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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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

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

Journal of Partial Differential Equations, Vol. 29 (2016), Iss. 1 : pp. 1–13

Published online:    2016-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    13

Keywords:    Linear partial differential equation of the higher order in two variables

Author Details

Gogi Pantsulaia

Givi Giorgadze