English

On a linear partial differential equation of the higher order in two variables with initial condition whose coefficients are real-valued simple step functions

Classical Analysis and ODEs 2016-08-17 v3

Abstract

By using the method developed in the paper [G.Pantsulaia, G.Giorgadze, On some applications of infinite-dimensional cellular matrices, {\it Georg. Inter. J. Sci. Tech., Nova Science Publishers,} 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

Cite

@article{arxiv.1505.00896,
  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},
  author = {Gogi Pantsulaia and Givi Giorgadze},
  journal= {arXiv preprint arXiv:1505.00896},
  year   = {2016}
}

Comments

17pages, 7 figures

R2 v1 2026-06-22T09:28:08.945Z