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

• The m-accretivity of covariant Schroedinger operators with unbounded drift. Annals of Global Analysis and Geometry 55 (2019), no. 4, 657–679.

 

• Inequalities and separation for covariant Schroedinger operators. (in collaboration with Hemanth Saratchandran). Journal of Geometry and Physics 138 (2019), 215--222. 

 

• Self-adjointness, m-accretivity, and separability for perturbations of Laplacian and bi-Laplacian on Riemannian manifolds, Integral Equations and Operator Theory (2018) 90:22. 

 

• Self-adjointness of perturbed biharmonic operators on Riemannian manifolds, Mathematische Nachrichten 290 (2017), no. 17-18, 2948--2960. 

 

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

 

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

 

• Self-adjoint extensions of discrete magnetic Schroedinger operators (in collaboration with Françoise Truc). Annales Henri Poincare 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 Schroedinger operators with non-negative potentials. Integral Equations and Operator Theory 76 (2013), 285--300.

 

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

 

• Self-adjoint realizations of Schroedinger 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 Schroedinger operators on locally finite graphs. Integral Equations and Operator Theory 71 (2011), 13--27.

 

•  A separation property for magnetic Schroedinger 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 Schroedinger operators on Riemannian manifolds. Journal of Mathematical Analysis and Applications 354 (2009), 125--133.

 

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

 

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

 

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

 

• Separation property for Schroedinger 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 Schroedinger operators on Riemannian manifolds. International Journal of Geometric Methods in Modern Physics 2 (2005), 543--552.

 

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

 

• Self-adjointness of Schroedinger-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 Schroedinger-type operators on Riemannian manifolds. Proceedings of the American Mathematical Society 132 (2004), 147-156.

 

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

 

• On m-accretive Schroedinger-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 Schroedinger-type operators on Riemannian manifolds. Journal of Mathematical Analysis and Applications 283 (2003), 304-318.

 

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