Geodesic
The regularity of weak and very weak solutions of the Poisson equation on polygonal domains with mixed boundary conditions (part I)
Adam Kubica1
1 Institute of Mathematics Polish Academy of Sciences Śniadeckich 8 00-956 Warszawa, Poland
Applicationes Mathematicae, Tome 31 (2004) no. 4, pp. 443-456 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/am31-4-6
Keywords: examine regularity weak weak solutions poisson equation polygonal domains consider mixed dirichlet neumann robin boundary conditions describe singular part weak weak solutions

Adam Kubica 1

1 Institute of Mathematics Polish Academy of Sciences Śniadeckich 8 00-956 Warszawa, Poland 
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     title = {The regularity of weak and very
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Adam Kubica. The regularity of weak and very
 weak solutions of the Poisson equation
 on polygonal domains with mixed
 boundary conditions (part I). Applicationes Mathematicae, Tome 31 (2004) no. 4, pp. 443-456. doi: 10.4064/am31-4-6

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