THE POISSON EQUATION WITH WENTZELL BOUNDARY CONDITIONS IN THE SQUARE

Abstract

The Wentzell boundary value problems with condition  for second-order linear elliptic equations were studied by various methods. Over time, condition was understood as a description of a process occurring at the boundary of the domain and influenced by processes within the domain. Since  in the mathematical literature the Wentzell boundary conditions has been considered from the two points of view (in classical and neoclassical cases), the purpose of this work is to show the solvability of the Wentzel problem for the Poisson equation in the square in neoclassical one, when we divide the desired function into two components.