JEDNOSTKA NAUKOWA KATEGORII A+

# Wydawnictwa / Czasopisma IMPAN / Applicationes Mathematicae / Wszystkie zeszyty

## The regularity of weak and very weak solutions of the Poisson equation on polygonal domains with mixed boundary conditions (part II)

### Tom 32 / 2005

Applicationes Mathematicae 32 (2005), 17-36 MSC: 35B40, 35B65, 35C20, 35J05, 35J25. DOI: 10.4064/am32-1-2

#### Streszczenie

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.