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math.AP2018
Riesz bases for and regularity for the Laplace equation in Lipschitz domains
Abdellatif Chaira, Soumia Touhami
In a paper from 1996, D. Jerison and C. Kenig among other results provided a regularity result for the Dirichlet problem for the Laplace equation in Lipschitz domains. In…
math.AP2017
A boundary formula for reproducing kernel Hilbert spaces of real harmonic functions in Lipschitz domains
Soumia Touhami, Abdellatif Chaira
This paper develops a new Hilbert space method to characterize a family of reproducing kernel Hilbert spaces of real harmonic functions in a bounded Lipschitz domain $Ω\subset \mat…