Writings

Submitted

27. Linear viscoelastic waves exposed to external Neumann manipulation (with İ. Susuzlu), 33 pp., under review

26. Finite dimensional backstepping controller design (with V. K. Kalantarov and K. C. Yılmaz), 24 pp., under review

25. Numerical computation of Neumann controls for the heat equation on a finite interval (with K. Kalimeris and N. Dikaios), 24 pp., conditionally accepted arXiv

Published

24. Decay rate estimates for the wave equation with subcritical semilinearities and locally distributed nonlinear dissipation (with M. M. Cavalcanti, et al.), Appl. Math. Optim. 87 (2023), no. 1, 2, 76 pp. DOI

23. The interior-boundary Strichartz estimate for the Schrödinger equation on the half line revisited (with B. Köksal), Turkish J. Math. 46 (2022), no. 8, 3323–3351 (Invited Paper) DOI

22. Stabilization of higher order Schrödinger equations on a finite interval: Part II (with K. C. Yılmaz), Evol. Equ. Control Theory 11 (2022), no. 4, 1087–1148. DOI

21. Dispersion estimates for the boundary integral operator associated with the fourth order Schrödinger equation posed on the half line (with K. Alkan and K. Kalimeris), Math. Inequal. Appl. 25 (2022), no. 2, 551–571. DOI

20. Stabilization of higher order Schrödinger equations on a finite interval: Part I (with A. Batal and K. C. Yılmaz), Evol. Equ. Control Theory 10 (2021), no. 4, 861–919. DOI

19. Exponential stability for the nonlinear Schrödinger equation with locally distributed damping (with M. M. Cavalcanti, et al.), Comm. Partial Differential Equations 45 (2020), no. 9, 1134–1167. DOI

18. Fokas method for linear boundary value problems involving mixed spatial derivatives (with A. Batal and A. S. Fokas), Proc. A. 476 (2020), no. 2239, 20200076, 15 pp. DOI

17. An elementary proof of the lack of null controllability for the heat equation on the half line (with K. Kalimeris), Appl. Math. Lett. 104 (2020), 106241, 6 pp. DOI

16. Output feedback stabilization of the linearized Korteweg-de Vries equation with right endpoint controllers (with A. Batal), Automatica J. IFAC 109 (2019), 108531, 8 pp. DOI

15. The initial-boundary value problem for the biharmonic Schrödinger equation on the half-line (with N. Yolcu), Commun. Pure Appl. Anal. 18 (2019), no. 6, 3285–3316. DOI

14. New rigorous developments regarding the Fokas method and an open problem (with A.S. Fokas), EMS Newsletter 113 (2019), 60-61. DOI

13. Boosting the decay of solutions of the linearized Korteweg-de Vries-Burgers equation to a predetermined rate from the boundary (with E. Arabacı), Internat. J. Control 92 (2019), no. 8, 1753–1763. DOI

12. Pseudo-backstepping and its application to the control of Korteweg-de Vries equation from the right endpoint on a finite domain (with A. Batal), SIAM J. Control Optim. 57 (2019), no. 2, 1255–1283. DOI

11. Blow-up of solutions of nonlinear Schrödinger equations with oscillating nonlinearities, Commun. Pure Appl. Anal. 18 (2019), no. 1, 539–558. DOI

10. Complex Ginzburg-Landau equations with dynamic boundary conditions (with W.J. Corrêa), Nonlinear Anal. Real World Appl. 41 (2018), 607–641. DOI

09. Finite-parameter feedback control for stabilizing the complex Ginzburg-Landau equation (with J. Kalantarova), Systems Control Lett. 106 (2017), 40–46. DOI

08. Nonlinear Schrödinger equations on the half-line with nonlinear boundary conditions (with A. Batal), Electron. J. Differential Equations (2016), Paper No. 222, 20 pp. DOI

07. Qualitative properties of solutions for nonlinear Schrödinger equations with nonlinear boundary conditions on the half-line (with V.K. Kalantarov), J. Math. Phys. 57 (2016), no. 2, 021511, 14 pp. DOI

06. Well-posedness for nonlinear Schrödinger equations with boundary forces in low dimensions by Strichartz estimates, J. Math. Anal. Appl. 424 (2015), no. 1, 487–508. DOI

05. Global existence and open loop exponential stabilization of weak solutions for nonlinear Schrödinger equations with localized external Neumann manipulation, Nonlinear Anal. 80 (2013), 179–193. DOI

04. Weakly-damped focusing nonlinear Schrödinger equations with Dirichlet control, J. Math. Anal. Appl. 389 (2012), no. 1, 84–97. DOI

03. Uniform decay rates for the energy of weakly damped defocusing semilinear Schrödinger equations with inhomogeneous Dirichlet boundary control (with V.K. Kalantarov and I. Lasiecka), J. Differential Equations 251 (2011), no. 7, 1841–1863. DOI

02. Stabilization of nonlinear Schrödinger equation with inhomogeneous Dirichlet boundary control, Thesis (Ph.D.)-University of Virginia. 2010. 93 pp.

01. Stabilization of linear and nonlinear Schrödinger equations, Thesis (M.Sc.)-Koç University. 2007. 73 pp.