Marianna Chatzakou

Publications & Preprints

1. M. Chatzakou, A. Kassymov, M. Ruzhansky. Fujita exponent for heat equation with Hörmander vector fields. Ann. Mat. Pura Appl. (2026), to appear.
  https://arxiv.org/abs/2511.04196
2. M. Chatzakou. Geometric logarithmic Hardy and Hardy–Poincaré inequalities on stratified groups. Math. Nachr. 299(1) (2026).
  https://doi.org/10.1002/mana.70097
3. M. Chatzakou, M. Ruzhansky, N. Yannakakis. Nearness and solvability of non-invariant equations on stratified groups. J. Math. Anal. Appl. 560 (2026), 130502.
  https://doi.org/10.1016/j.jmaa.2026.130502
4. M. Chatzakou, M. Ruzhansky, A. Shriwastawa. Sharp upper bound for anisotropic Rényi entropy and Heisenberg uncertainty principle. Manuscripta Math. 177(24) (2026).
  https://doi.org/10.1007/s00229-026-01694-7
5. D. Cardona, M. Chatzakou, M. Ruzhansky, J. Toft. Schatten–von Neumann properties for Hörmander classes on compact Lie groups. Forum Math. (2026).
  https://doi.org/10.1515/forum-2024-0066
6. D. Cardona, M. Chatzakou, J. Delgado, M. Ruzhansky. Degenerate Schrödinger equations with irregular potentials. Anal. Appl. (2026).
  https://doi.org/10.1142/S0219530526500363
7. G. Barbatis, M. Chatzakou, A. Tertikas. Geometric Hardy inequalities on the Heisenberg groups via convexity (2025).
  https://arxiv.org/abs/2503.08383
8. M. Chatzakou, S. Federico, B. Zegarlinski. Poincaré inequalities on Carnot groups and spectral gap of Schrödinger operators. J. Lie Theory 35(3) (2025), 629–665.
  https://arxiv.org/abs/2211.09471
9. D. Cardona, M. Chatzakou, J. Delgado, V. Kumar, M. Ruzhansky. Anharmonic semigroups and applications to global well-posedness of nonlinear heat equations. J. Math. Phys. 66, 081509 (2025).
  https://doi.org/10.1063/5.0219555
10. M. Chatzakou, U. Kähler, M. Ruzhansky. Zero modes and Dirac-(logarithmic) Sobolev inequalities.
  https://arxiv.org/abs/2501.15132
11. M. Chatzakou, M. Ruzhansky. Revised logarithmic Sobolev inequalities of fractional order. Bull. Sci. Math. 197 (2024).
  https://doi.org/10.1016/j.bulsci.2024.103530
12. L. N. A. Botchway, M. Chatzakou, M. Ruzhansky. Semi-classical pseudo-differential operators on ħℤⁿ and applications. J. Fourier Anal. Appl. 30, 41 (2024).
  https://doi.org/10.1007/s00041-024-10091-1
13. M. Chatzakou, A. Kassymov, M. Ruzhansky. Logarithmic Sobolev-type inequalities on Lie groups. J. Geom. Anal. 34, 275 (2024).
  https://doi.org/10.1007/s12220-024-01690-x
14. M. Chatzakou, A. Kassymov, M. Ruzhansky. On global solutions of heat equations with time-dependent nonlinearities on unimodular Lie groups.
  https://arxiv.org/abs/2404.05611
15. M. Chatzakou, S. Federico, B. Zegarlinski. q-Poincaré inequalities on Carnot groups with filiform type Lie algebra. Potential Anal. 60 (2024), 1067–1092.
  https://doi.org/10.1007/s11118-023-10079-4
16. M. Chatzakou, A. Kassymov, M. Ruzhansky. Anisotropic Shannon Inequality. Osaka J. Math. 61(1) (2024), 79–89.
  https://arxiv.org/abs/2106.14182
17. M. Chatzakou, A. Dasgupta, M. Ruzhansky, A. Tushir. Discrete heat equation with irregular thermal conductivity and tempered distributional data. Proc. R. Soc. Edinburgh A (2023).
  https://doi.org/10.1017/prm.2023.84
18. M. Chatzakou, V. Kumar. Lp–Lq boundedness of Fourier multipliers associated with the anharmonic oscillator. J. Fourier Anal. Appl. 29:73 (2023).
  https://doi.org/10.1007/s00041-023-10047-x
19. M. Chatzakou, A. Kassymov, M. Ruzhansky. Logarithmic Sobolev, Hardy and Poincaré inequalities on the Heisenberg group.
  https://arxiv.org/abs/2310.00992
20. M. Chatzakou, J. Delgado, M. Ruzhansky. On a class of anharmonic oscillators II. General case. Bull. Sci. Math. 180 (2022), 103196.
  https://doi.org/10.1016/j.bulsci.2022.103196
21. M. Chatzakou, M. Ruzhansky, N. Tokmagambetov. The heat equation with singular potentials II: Hypoelliptic case. Acta Appl. Math. 179 (2022).
  https://doi.org/10.1007/s10440-022-00487-w
22. M. Chatzakou, M. Ruzhansky, N. Tokmagambetov. Fractional Klein–Gordon equation with singular mass II: Hypoelliptic case. Complex Var. Elliptic Equ. 67 (2022), 615–632.
  https://doi.org/10.1080/17476933.2021.1950146
23. M. Chatzakou, M. Ruzhansky, N. Tokmagambetov. Fractional Schrödinger equations with singular potentials of higher order II: Hypoelliptic case. Rep. Math. Phys. 89(1) (2022), 59–79.
  https://doi.org/10.1016/S0034-4877(22)00010-6
24. M. Chatzakou, V. Kumar. Lp–Lq boundedness of spectral multipliers of the anharmonic oscillator. C. R. Acad. Sci. Paris 360 (2022), 343–347.
  https://doi.org/10.5802/crmath.290
25. M. Chatzakou. A note on spectral multipliers on the Engel and Cartan groups. Proc. Amer. Math. Soc. 150(5) (2022), 2259–2270.
  https://doi.org/10.1090/proc/15830
26. M. Chatzakou, J. Delgado, M. Ruzhansky. On a class of anharmonic oscillators. J. Math. Pures Appl. 153 (2021), 1–29.
  https://doi.org/10.1016/j.matpur.2021.07.006
27. M. Chatzakou, Y. Sarantopoulos. Estimates for polynomial norms on Banach spaces. Dolomites Res. Notes Approx. 14 (2021), 40–52.
  https://doi.org/10.14658/pupj-drna-2021-3-5
28. M. Chatzakou, A. Kassymov, M. Ruzhansky. Logarithmic Hardy–Rellich inequalities on Lie groups.
  https://arxiv.org/abs/2107.04874
29. M. Chatzakou. Quantizations on the Engel and Cartan groups. J. Lie Theory 31(2) (2021), 517–542. https://arxiv.org/abs/2003.10744
30. M. Chatzakou. On (λ,μ)-classes on the Engel group. In: Advances in Harmonic Analysis and Partial Differential Equations, Trends in Mathematics (2020), 37–49.
  https://doi.org/10.1007/978-3-030-58215-9_2
31. M. Chatzakou, Y. Sarantopoulos. Bernstein and Markov-type inequalities for polynomials on Lp(μ) spaces. Dolomites Res. Notes Approx. 12 (2019), 16–28.
  https://doi.org/10.14658/PUPJ-DRNA-2019-Special_Issue-4

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