Turkay Yolcu
Visiting Assistant Professor

Department of Mathematics 
 Purdue University
 150 N. University Street
West Lafayette, IN 47907-2067 USA

Office: MATH 726
Email: tyolcu@math.purdue.edu
Phone: (765) 494-1948
Fax: (765) 494-0548

Why Turkish Tea? Let's listen to Prof. Katharine Branning

     

      Education:

     

      Research Interests:

General: Partial Differential Equations, Calculus of Variations, Analysis, Spectral Theory, Mathematical Finance.
 Particular: Eigenvalues Estimates, Fractional Laplacian, Stochastic Models in Finance, Nonlinear Evolution Equations,  Monge- Kantorovich Optimal Mass Transportation Theory,  Parabolic PDEs,
Gradient and Hamiltonian Flows in Wasserstein space, Lagrangian and Hamiltonian systems.



      Teaching (Spring 2012):

        Are professors monsters?

        MA 303: Diff. Eqns and Partial Diff. Eqns for Engineering and the Sciences (See WileyPlus for Assignments, solutions)
Department's course webpage
MA 351: Elementary Linear Algebra (see blackboard for notes, exams, solutions)
Department's course webpage
Past Teaching Experience
                      

       Publications/Preprints

9. Exact Solution of Transient Heat Transfer Equation in Cylindrical Multilayered Annulus, (with I. Kilic, H. Yildirim, R. Sever), 2012, submitted.
8. Estimates on the eigenvalues of the clamped plate problem (with S. Yildirim Yolcu), 2012, submitted. 
7. Optimal Contracting with effort and misreporting (with A. Capponi, J. Cvitanic), 2011, submitted.
6. A variational approach to contracting under imperfect observations   (with A. Capponi, J. Cvitanic), 2011, submitted.
5. Estimates for the sums of eigenvalues of the fractional Laplacian on a bounded domain (with S. Yildirim Yolcu), 2011, submitted.
4. Refined bounds for the eigenvalues of the Klein-Gordon operator, to appear in Proceedings of the AMS, (2012).
3. Multidimensional lower bounds for the eigenvalues of Stokes and Dirichlet Laplacian operators (with S. Yildirim Yolcu), To appear in the Journal of Mathematical Physics, Vol. 53, No. 4 (043508), 2012.
2. Bounds for the eigenvalues of the fractional Laplacian (with S. Yildirim Yolcu), Reviews in Mathematical Physics, Vol.24, No.3, (1250003) (2012).
1. A variational method for a class of parabolic PDEs (with A. Figalli and W. Gangbo)  Ann. Scuola Norm. Sup. Pisa Cl. Sci. Vol.10,  no:1 ,(2011), 207-252.

Ph.D. Thesis, Georgia Tech, August 2009. G
Master Thesis, M.E.T.U., July 2002.


Work in Progress and Preprints:

1. On the eigenvalues of Stoke's operator, (with S. Yildirim Yolcu) in preparation.
2. On the sums of eigenvalues of poly-Laplacian operator, (with S. Yildirim Yolcu) in progress.
3. On the eigenvalues of Heisenberg Laplacian, (with S. Yildirim Yolcu) in progress.