Mathematics – Analysis of PDEs
Scientific paper
2005-02-15
Mathematics
Analysis of PDEs
12 pages
Scientific paper
We consider the inhomogeneous Dirichlet problem on product domains. The main
result is the asymptotic expansion of the solution in terms of increasing
smoothness up to the boundary. In particular, we show the exact nature of the
singularities of the solution at singularities of the boundary by constructing
singular functions which make up an asymptotic expansion of the solution.
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