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Note on the stability of the Dirichlet problem and the Poisson equation. (English) Zbl 1234.26049

Summary: W. Arendt and D. Daners [Discrete Contin. Dyn. Syst. 21, No. 1, 21–39 (2008; Zbl 1155.35011)] characterized stability of regular open sets in terms of solutions of Poisson equation in the sense of distributions. We shall prove a different version of their theorem with relaxed conditions.

MSC:

26D10 Inequalities involving derivatives and differential and integral operators

Citations:

Zbl 1155.35011
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