| Selma Yildirim Yolcu Golomb Assistant Professor Department of Mathematics Purdue University 150 N. University Street West Lafayette, IN 47907-1395 USA Office: MATH 736 Email: syildir@math.purdue.edu Phone: (765) 494-1954 Fax: (765) 494-0548 |
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Education:
PhD in Mathematics, Georgia Institute of Technology, 2009
Research
Interests:
Spectral theory, partial differential equations, stable processes.
In particular: Eigenvalue inequalities for Klein-Gordon
operators,Dirichlet Laplacian, Fractional Laplacian and symmetric stable
processes.
Work in Progress:
12. Some Estimates for Relativistic Stable Processes (with K. Kaleta and R. Banuelos), in progress.
11. Bounds on the spectra of the Stokes operator, (with T. Yolcu), in preparation.
10. On the eigenvalues of poly-Laplacian operator, (with T. Yolcu), in preparation.
9. Sharper estimates on the eigenvalues of the fractional Laplacian operator (with T. Yolcu), in preparation.
8. Sharp Bounds for spectral functions of the Klein-Gordon operator (with L.
Hermi), (2010), preprint.
Journal Papers:
7. Estimates on the eigenvalues of the clamped plate problem (with T. Yolcu), Journal of Mathematical Physics, 54(4), (2013) 43515 .
6. Heat
trace of nonlocal operators (with R. Banuelos),
Journal of the London Mathematical Society, 87(1) (2013)
304-318.
5. Estimates for the sums of eigenvalues of the fractional Laplacian on a bounded domain (with T. Yolcu), Communications in Contemporary Mathematics (2013) (DOI: 10.1142/S0219199712500484)
4. Multidimensional lower bounds for the
eigenvalues of Stokes and Dirichlet Laplacian operators (with T. Yolcu),
Journal of Mathematical Physics, 53(4) (2012) 043508.
3. Bounds for the eigenvalues of the
fractional Laplacian (with T. Yolcu),
Reviews in Mathematical Physics, 24(3) (2012)
1250003.
2. An Improvement to a Berezin-Li-Yau
type inequality for the Klein-Gordon Operator,
Proceedings of the American Mathematical Society,
138(11) (2010) 4059-4066.
Awards:
2009 CETL/BP Outstanding Graduate Student Instructor Award, Georgia Institute of Technology. (link)
2008 Outstanding Teaching Assistant Award, School of Math,
Georgia Institute of Technology.