Ognjen B Milatovic

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

 

• Self-adjointness of perturbed biharmonic operators on Riemannian manifolds, to appear in Mathematische Nachrichten.

 

• Self-adjoint extensions of differential operators on Riemannian manifolds. (in collaboration with Françoise Truc). Annals of Global Analysis and Geometry 49 (2016), no.1, 87–103.

 

• On a positivity preservation property for Schrödinger operators on Riemannian manifolds. Proceedings of the American Mathematical Society 144 (2016), no. 1, 301–313.

 

• Self-adjointness of the Gaffney Laplacian on vector bundles. (in collaboration with Lashi Bandara). Mathematical Physics, Analysis and Geometry 18 (2015), no.1, Art. 17, 14pp.             

 

• Maximal accretive extensions of Schrödinger operators on vector bundles over infinite graphs (in collaboration with Françoise Truc). Integral Equations and Operator Theory 81 (2015), 35--52.

 

• Generalized Schrödinger semigroups on infinite graphs (in collaboration with Batu Güneysu and Françoise Truc). Potential Analysis 41 (2014), 517–541.

 

• Self-adjoint extensions of discrete magnetic Schrödinger operators (in collaboration with Françoise Truc). Annales Henri Poincaré 15 (2014), 917–936.

 

• Separation property for operators in L^p spaces on non-compact manifolds. Complex Variables and Elliptic Equations 58 (2013), 853–864.

 

• A spectral property of discrete Schrödinger operators with non-negative potentials. Integral Equations and Operator Theory 76 (2013), 285–300.

 

• A Sears-type self-adjointness result for discrete magnetic Schrödinger operators. Journal of Mathematical Analysis and Applications 396 (2012),  801–809.

 

• Self-adjoint realizations of Schrödinger operators on vector bundles over Riemannian manifolds. In: “Recent Advances in Harmonic Analysis and Partial Differential Equations,” Contemporary Mathematics, vol. 581, pp. 175-197, American Mathematical Society, Providence, RI, 2012.

 

• Essential self-adjointness of magnetic Schrödinger operators on locally finite graphs. Integral Equations and Operator Theory 71 (2011), 13-27.

 

•  A separation property for magnetic Schrödinger operators on Riemannian manifolds. Journal of Geometry and Physics 61 (2011), 1-7.

 

• On m-accretivity of perturbed Bochner Laplacian in L^p spaces on Riemannian manifolds. Integral Equations and Operator Theory 68 (2010), 243-254.

 

•  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.