Mediterranean Journal of Modeling and Simulation
Volume 2, Numéro 1, Pages 030-050

Semigroup's Approach To The Study Of The Hölder Continuous Regularity For Laplace Equation In Nonsmooth Domain

Authors : Chaouchi Belkacem .


We will investigate the Dirichlet problem for Laplace equation set in an singular domain with cuspidal point. We look to describe the behavior of the unique solution near the cuspidal point in the framework of the little Hölder space h2σ (Ω) with σ ∈ ]0,1/2[.


Fractional powers of linear operators; Analytic semigroup; Operational di¤erential equation of elliptic type; Little Hölder space; Cuspidal point; Interpolation spaces.