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Coefficients des singularités pour le problème de Dirichlet sur un polygone. (Coefficients of singularities for the Dirichlet problem in a polygon). (French) Zbl 0619.35033
The authors state two types of formulas for the coefficients of singular functions appearing in the asymptotics of the solution of the Dirichlet problem on a polygonal domain \(\Omega\), when the data are in classical or weighted Sobolev spaces. One of these types of formulas defines a continuous linear form only depending on the data; some of theses formulas are localized on the vertices of \(\Omega\), the others are global on \(\Omega\). The other type of formulas is an expression related to the solution.

MSC:
35J25 Boundary value problems for second-order elliptic equations
35A20 Analyticity in context of PDEs
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