The regularity of weak and very weak solutions of the Poisson equation on polygonal domains with mixed boundary conditions (part I)
Volume 31 / 2004
Applicationes Mathematicae 31 (2004), 443-456
MSC: 35B40, 35B65, 35C20, 35J05, 35J25.
DOI: 10.4064/am31-4-6
Abstract
We examine the regularity of weak and very weak solutions of the Poisson equation on polygonal domains with data in $L^2$. We consider mixed Dirichlet, Neumann and Robin boundary conditions. We also describe the singular part of weak and very weak solutions.
