Articles

Preprints

32. A new approach for the analysis of evolution partial differential equations on a finite interval (with D. Mantzavinos and K. Kalimeris), submitted, 23 pp. arXiv

31. Fokas method for linear convection-diffusion equation with time-dependent coefficients and its extension to other evolution equations (with K. Kalimeris), submitted, 31 pp. arXiv

30. The complex Ginzburg-Landau equation on a finite interval and chaos suppression via a finite-dimensional boundary feedback stabilizer (with D. Mantzavinos and K. C. Yılmaz), submitted, 60 pp. arXiv

29. Well-posedness of the higher-order nonlinear Schrödinger equation on a finite interval (with C. Mayo and D. Mantzavinos), to appear, J. Evol. Equ. 39 pp. arXiv

Published

28. Low-regularity solutions of the nonlinear Schrödinger equation on the spatial quarter-plane (with D. Mantzavinos), SIAM J. Math. Anal. 57 (2025), no.6, 6731-6773. DOI

27. Finite dimensional backstepping controller design (with V.K. Kalantarov and K.C. Yılmaz), IEEE Trans. Automat. Control, 70 (2025), no. 6, 3816-3829. DOI

26. Stabilization of linear waves with inhomogeneous Neumann boundary conditions  (with I. Susuzlu), Internat. J. Control, 98 (2025), no. 7, 1639-1663. DOI

25. Local well-posedness of the higher-order nonlinear Schrödinger equation on the half-line: single boundary condition case (with A. Alkın and D. Mantzavinos), Stud. Appl. Math. 152 (2024), no.1, 203-248. DOI

24. Numerical computation of Neumann controls for the heat equation on a finite interval (with K. Kalimeris and N. Dikaios), IEEE Trans. Automat. Control, 69 (2024), no. 1, 161–173. DOI

23. Existence of unattainable states for Schrödinger type flows on the half-line (with K. Kalimeris), IMA J. Math. Control Inform., 40 (2023), no.4, 789-803. DOI

22. 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

21. 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

20. 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

19. 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

18. 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

17. 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

16. 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

15. 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

14. 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

13. 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

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

11. 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

10. 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

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

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

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

06. 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

05. 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

04. 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

03. 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

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

01. 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