On 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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Volume 29, Issue 1

Gogi Pantsulaia & Givi Giorgadze

DOI: 10.4208/jpde.v29.n1.1

J. Part. Diff. Eq., 29 (2016), pp. 1-13.

Published online: 2016-03

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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.

Keywords

Linear partial differential equation of the higher order in two variables Fourier differential operator

AMS Subject Headings

34Axx, 34A35, 34K06

Email address

g.pantsulaia@gtu.ge (Gogi Pantsulaia)

g.giorgadze@gtu.ge (Givi Giorgadze)

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@Article{JPDE-29-1, author = {Pantsulaia , Gogi and Giorgadze , Givi}, title = {On a Linear Partial Differential Equation of the Higher Order in Two Variables with Initial Condition Whose Coefficients are Real-valued Simple Step Functions}, journal = {Journal of Partial Differential Equations}, year = {2016}, volume = {29}, number = {1}, pages = {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.}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v29.n1.1}, url = {http://global-sci.org/intro/article_detail/jpde/5074.html} }

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.

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

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