Abstract
We consider the boundary value problem associated with the divergence operator on a bounded regular subset of \({\mathbb {R}}^{n}\), with homogeneous Dirichlet boundary condition. We prove the existence of a classical solution under slight assumptions on the datum.
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The research that led to the present paper was partially supported by a grant of the group GNAMPA of INdAM.
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Berselli, L.C., Longo, P. Classical Solutions of the Divergence Equation with Dini Continuous Data. J. Math. Fluid Mech. 22, 26 (2020). https://doi.org/10.1007/s00021-020-0488-4
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DOI: https://doi.org/10.1007/s00021-020-0488-4