A+ CATEGORY SCIENTIFIC UNIT

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

Volume 32 / 2005

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

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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