@Article{JPDE-29-1, author = {Pantsulaia, Gogi and Givi, Giorgadze}, 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 = {https://global-sci.com/article/88241/on-a-linear-partial-differential-equation-of-the-higher-order-in-two-variables-with-initial-condition-whose-coefficients-are-real-valued-simple-step-functions} }