Ognjen B Milatovic

Associate Professor

Mathematics & Statistics • College of Arts & Sciences

Areas of Expertise

Spectral theory of differential operators on manifolds and infinite graphs

Education

Ph.D. in Mathematics

Northeastern University
 

Biography

Affiliations

American Mathematical Society
 

Publications & Presentations

Publications:

 

 

 

 

 

 

 

 

 

 

 

 

 

  •  Two realizations of Schrödinger operators on Riemannian manifolds. Journal of Mathematical Analysis and Applications 354 (2009), 125-133.

 

  • On m-accretive Schrödinger operators with singular potentials on Riemannian manifolds. Journal of Geometry and Physics 58 (2008), 368-376.

 

  • On m-accretive Schrödinger operators L^1 spaces on manifolds of bounded geometry. Proceedings of the Edinburgh Mathematical Society (2) 51 (2008), 215-227.

 

  • On m-accretive Schrödinger operators in L^p spaces on manifolds of bounded geometry. Journal of Mathematical Analysis and Applications 324 (2006), 762-772. 

 

  • Separation property for Schrödinger operators on Riemannian manifolds. Journal of Geometry and Physics 56 (2006), 1283-1293.
     
  • A property of Sobolev spaces on Riemannian manifolds. Electronic Journal of Differential Equations Vol. 2005, No. 77, (2005), 10 pp.

 

  • Positive perturbations of self-adjoint Schrödinger operators on Riemannian manifolds. International Journal of Geometric Methods in Modern Physics 2 (2005), 543-552.


 

  • On holomorphic families of Schrödinger-type operators with singular potentials on manifolds of bounded geometry. Differential Geometry and its Applications 21 (2004), 361-377.

 

  • Self-adjointness of Schrödinger-type operators with locally integrable potentials on manifolds of bounded geometry. Journal of Mathematical Analysis and Applications 295 (2004), 513-526.

 

  • The form sum and the Friedrichs extension of Schrödinger-type operators on Riemannian manifolds. Proceedings of the American Mathematical Society 132 (2004), 147-156.

 

  • Self-adjointness of Schrödinger-type operators with singular potentials on manifolds of bounded geometry. Electronic Journal of Differential Equations, Vol. 2003 (2003), No. 64, 8pp.

 

  • On m-accretive Schrödinger-type operators with singular potentials on manifolds of bounded geometry. International Journal of Mathematics and Mathematical Sciences 38 (2003), 2415-2423.

 

  • Localized self-adjointness of Schrödinger-type operators on Riemannian manifolds. Journal of Mathematical Analysis and Applications 283 (2003), 304-318.

 

  • Essential self-adjointness of Schrödinger-type operators on manifolds (in collaboration with Maxim Braverman and Mikhail Shubin). Russian Mathematical Surveys 57 (4) (2002), 641-692.

 


 

MilatovicContact Information

(904) 620-1745

omilatov@unf.edu