Solutions of linear and non-linear partial differential equations by means of tensor product theory of Banach space

Abstract

In this article, we introduce an analytical method for solving both non-separable linear and non-linear partial differential equations, for which separation of variables method does not work. This method is based on the theory of tensor product in Banach spaces coupled with some properties of atoms operators. We provide some illustrative examples. For more information see https://ejde.math.txstate.edu/Volumes/2024/28/abstr.html