Criteria for parabolicity and hyperbolicity of conductive Riemannian manifolds

Vicent Gimeno i Garcia, Ana Hurtado, Steen Markvorsen +1

Motivated by the physics of anisotropic conductive materials we consider a linear elliptic operator $\hat{I}{”}_{\mathcal{W}}$ of divergence type on a Riemannian manifold $(M^n,g)$. The…