A+ CATEGORY SCIENTIFIC UNIT

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

Volume 31 / 2004

Adam Kubica 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.

Authors

  • Adam KubicaInstitute of Mathematics
    Polish Academy of Sciences
    Śniadeckich 8
    00-956 Warszawa, Poland
    e-mail

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