activity
20022025
most citedEssential self-adjointness of Schroedinger type operators on manifolds

112 citations · 167 across the 17 of their papers we have counts for

collaborators

21 papers

math.SP2025

Essential self-adjointness of non-semibounded Schrödinger operators on infinite graphs

Ognjen Milatovic

We work in the setting of infinite, not necessarily locally finite, weighted graphs. We give a sufficient condition for the essential self-adjointness of (discrete) Schrödinger ope…

math.AP2025

Extended Sobolev Scale on Non-Compact Manifolds

Ognjen Milatovic

Adapting the definition of ``extended Sobolev scale" on compact manifolds by Mikhailets and Murach to the setting of a (generally non-compact) manifold of bounded geometry , we…

math.SP2025

On two properties of positively perturbed discrete Schrödinger operators

Ognjen Milatovic

We show that if we start from a symmetric lower semi-bounded Schrödinger operator on finitely supported functions on a discrete weighted graph (satisfying certain con…

math.DG2024

Covariant Schrödinger Operator and -Vanishing Property on Riemannian Manifolds

Ognjen Milatovic

Let be a complete Riemannian manifold satisfying a weighted Poincaré inequality, and let be a Hermitian vector bundle over equipped with a metric covariant de…

math.FA2023

Extended Sobolev Scale on

Ognjen Milatovic

In analogy with the definition of ``extended Sobolev scale" on by Mikhailets and Murach, working in the setting of the lattice , we define the ``extend…

math.FA2022

The essential adjointness of pseudo-differential operators on

Ognjen Milatovic

In the setting of the lattice we consider a pseudo-differential operator whose symbol belongs to a class defined on , where $\ma…