The Dirichlet problem for elliptic systems in multiconnected rough regions
Salil S. Kulkarni, Irina Mitrea, Subrata Mukherjee · Applicable Analysis · 2005
We present a new integral formulation for the L 2 Dirichlet boundary value problem associated with second order elliptic systems in multiconnected regions with rough boundaries. This study has been motivated by displacement prescribed problems arising in solid mechanics and our results are relevant to their numerical treatment.