MODULUS OF CONTINUITY OF THE DIRICHLET SOLUTIONS
MODULUS OF CONTINUITY OF THE DIRICHLET SOLUTIONSLet D be a bounded domain in Rn with n >= 2. For a function f on ∂D we denote by HDf the Dirichlet solution of f over D. It is classical that if D is regular, then HD maps the family of continuous boundary functions to the family of harmonic functions in D continuous up to the boundary ∂D.
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