Publications

Note: Preprints of my papers are available on my personal links to ResearchGate and ArXiv. Please, be aware that although most of the preprint versions are updated  they may not concide with the final versions published in the journals.

  Peer-reviewed articles

1. C. Cazacu and I. Fidel, Weighted Hardy-Rellich type inequalities: improved best constants and symmetry breaking. To appear in Rev. Roumaine Math. Pures Appl. Preprint arXiv:2406.15792.

2. C. Cazacu, D. Krejčiřík, N. Lam and A. Laptev, Hardy inequalities for magnetic p-Laplacians.  Nonlinearity 37 (2024), no. 3, 035004 (27 pp). 

3. C. Cazacu and A. Marica, Hardy inequalities for inverse square potentials with countable number of singularities. Submitted, preprint arXiv:1912.02391.

4. C. Cazacu, J. Flynn, N. Lam and G. Lu, Caffarelli-Kohn-Nirenberg identities, inequalities and their stabilities. J. Math. Pures Appl., 182 (2024) 253-284.

5. C. Cazacu and T. Rugină, Best constants in bipolar $L^p$ Hardy-type Inequalities. J. Math. Anal. Appl. 530 (2024) 127635.

6. C. Cazacu, L. Ignat and D. Manea, The Hardy inequality and large time behaviour of the heat equation on $\mathbb{R}^{N-k}\times (0,\infty)^k$. J. Differential Equations 375 (2023) 682–705.

7. C. Cazacu, J. Flynn and N. Lam, Caffarelli-Kohn-Nirenberg inequalities for curl-free vector fields and second order derivatives.  Calc. Var Partial Differential Equations 62 (2023), no. 4, Paper No. 118, 26 pp. 

8. C. Cazacu, J. Flynn and N. Lam, Sharp second order uncertainty principles, J. Funct. Anal.  283 (2022), no.  10, 109659.  

9. C. Cazacu, L. Ignat, A. Pazoto and J. Rossi, A convection-diffusion model on a star-shaped graph.  NoDEA Nonlinear Differential Equations Appl. 29 (2022), no. 2, Paper no. 17.  

10. C. Cazacu, The method of super-solutions in Hardy and Rellich type inequalities in the $L^2$ setting: an overview of well-known results and short proofs, Rev. Roumaine Math. Pures Appl. 66 (2021), no. 3-4, 617–638.

11. C. Cazacu, J. Flynn and N. Lam, Short proofs of refined sharp Caffarelli-Kohn-Nirenberg inequalities, J. Differential Equations 302 (2021), 533–549. 

12. C. Cazacu, A new proof of the Hardy-Rellich inequality in any dimension, Proc. Roy. Soc. Edinburgh Sect. A, 150 (2020), no. 6,  2894–2904.

13. C. Cazacu, L. Ignat and A. Pazoto, Null-controllability of the Kuramoto-Sivashinsky equation on star-shaped trees, SIAM J. Control Optim. 56 (2018), no. 4, 2921–2958.     

14. C. Cazacu, L. Ignat and A. Pazoto, On the asymptotic behavior of a subcritical convection-diffusion equation with nonlocal diffusion, Nonlinearity 30 (2017), no. 8, 3126–3150. 

15. C. Cazacu and D. Krejčiřík, The Hardy inequality and the heat equation with magnetic field in any dimension, Comm. Partial Differential Equations 41 (2016), no. 7, 1056–1088.

16. C. Cazacu, New estimates for the Hardy constants of multipolar Schrodinger operators, Commun. Contemp. Math. 18 (2016), no. 5, 1550093, 28 pp.

17. C. Cazacu, Controllability of the heat equation with an inverse-square potential localized on the boundary, SIAM J. Control Optim. 52 (2014), no. 4, 2055–2089.

18. C. Cazacu and E. Zuazua, Improved multipolar Hardy inequalities, Studies in phase space analysis with applications to PDEs, 35–52, Progr. Nonlinear Differential Equations Appl., 84, Birkhäuser/Springer, New York, 2013. 

19. C. Cazacu, Schrodinger operators with boundary singularities: Hardy inequality, Pohozaev identity and controllability results, J. Funct. Anal. 263 (2012), no. 12, 3741–3783.

20. C. Cazacu, On Hardy inequalities with boundary singularities, C. R. Acad. Sci. Paris, Ser. I 349 (2011), no. 5-6, 273–277.

21. C. Cazacu, Hardy inequality and Pohozaev identity for operators with boundary singularities: some applications, C. R. Acad. Sci. Paris, Ser. I 349 (2011), no. 21-22, 1167–1172. 

Unpublished article

22. C. Cazacu, Hardy inequality with boundary singularities, Manuscript available on arXiv:1009.0931.