THE EXPONENTIAL BEHAVIOUR OF THE GREEN FUNCTION IN A DIHEDRAL ANGLE
Maria Giovanna Garroni, Vsevolod Alexeevich Solonnikov, Maria Agostina Vivaldi · Communications in Contemporary Mathematics · 2001
We study the behaviour of the Green function of the heat problem in a dihedral angle with oblique (or Neumann) conditions on the faces. The uniform estimates obtained for the Green function and its derivatives show, in particular, the exponential decay at infinity, as in the parabolic problems in regular domains.