Analysis of the Laplacian of an incomplete manifold with almost polar boundary
Jun Nasmaune · DOAJ (DOAJ: Directory of Open Access Journals) · 2005
Motivated by recent interest in global analysis of singular manifolds, we establish the essential self-adjointness of a Laplacian, a Liouville property of subharmonic functions, conservativeness and parabolicity of an incomplete manifold. These results are applicable for manifolds with fractal Cauchy boundary.