Rutgers University 3 credits Mathematical Sciences (Mathematics
Harmonic and superharmonic functions in Rn; polar sets, potentials, capacities, Green's functions, balayage, thin sets, and fine topology. Energy and the Dirichlet integral. The Dirichlet problem in Rn. Lp boundary values and nontangential maximal functions for C1 and Lip1 boundaries. Ideal boundaries. Prerequisites: 16:640:502, 504.
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