" This volume contains the expanded lecture notes of courses taught at the Emile Borel
Centre of the Henri Poincaré Institute (Paris). In the book, leading experts introduce recent …

6.3 Non-uniform change of measure 141 6.4 Conformal change of the metric tensor 144 6.5
Manifolds with ends 147 7. Eigenvalues of Schrödinger operators 149 7.1 Negative …

Gaussian heat kernel upper bounds via the Phragmén–Lindelöf theorem Page 1 Proc.
London Math. Soc. (3) 96 (2008) 507–544 Cо2007 London Mathematical Society doi:10.1112/plms/pdm050 …

Full article: Fractional Laplacian with Hardy potential Skip to Main Content Taylor and Francis
Online homepage Taylor and Francis Online homepage Log in | Register Cart 1.Home 2.All …

In this paper we discuss non-local operators with killing potentials, which may not be in the
standard Kato class. We first discuss factorization of their Dirichlet heat kernels in metric …

On a smooth bounded domain Ω ⊂\rm R^ N we consider the Schrödinger operators− Δ− V,
with V being either the critical borderline potential V (x)=(N− 2) 2/4| x|− 2 or V (x)=(1/4) dist …

In this paper, we study Feynman-Kac semigroups of symmetric α-stable processes with
supercritical killing potentials belonging to a large class of functions containing functions of …

We consider the Schrödinger operator H=− Δ+ V (| x|) with radial potential V which may have
singularity at 0 and a quadratic decay at infinity. First, we study the structure of positive …

Parabolic Harnack inequality for the heat equation with inverse-square potential* Page 1
Forum Math. 19 (2007), 407–427 DOI 10.1515/FORUM.2007.017 Forum Mathematicum ( de …

We study parabolic problems associated to the second-order elliptic operator $$ L=\Delta+(a-
1)\sum_ {i, j= 1}^ N\frac {x_ {i} x_ {j}}{| x|^ 2} D_ {ij}+ c\frac {x}{| x|^ 2}\cdot\nabla-b| x|^{-2} …