Date & time: Thursday, 01 March 2018 at 5:00PM - 6:00PM
Abstract: We will discuss Laplace equation in an exterior domain in Euclidean space, which is by definition the complement of a compact subset. In addition, we impose boundary conditions on it: a solution vanishes on the “actual” boundary, and a solution converges to a given nonzero constant at infinity. In this setting, particularly we will investigate:
2) regularity and
3) behavior at infinity of a weak solution.