Pré-Publication, Document De Travail Année : 2025

Weak and very weak solutions of the Laplace equation and the Stokes system with prescribed regularity

Résumé

To verify theoretical results it is sometimes important to use a numerical example where the solution has a particular regularity. The paper describes one approach to construct such examples. It is based on the regularity theory for elliptic boundary value problems.

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Dates et versions

hal-05137913 , version 1 (01-07-2025)

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  • HAL Id : hal-05137913 , version 1

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Thomas Apel, Katharina Lorenz, Serge Nicaise. Weak and very weak solutions of the Laplace equation and the Stokes system with prescribed regularity. 2025. ⟨hal-05137913⟩

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