D.G. Bhimani, P.K. Ratnakumar, Functions operating on modulation spaces and nonlinear dispersive equations, J. Funct. Anal. 270 (2) (2016), 621-648. MR3425897.
D.G. Bhimani, The Cauchy problem for the Hartree type equation in modulation spaces, Nonlinear Anal. 130 (2016), 190-201. MR3424616.
D.G. Bhimani, Contraction of functions in modulation spaces, Integral Transforms Spec. Funct. 26, (9) (2015), 678-686. MR3354047.
4. D.G. Bhimani, R. Balhara, S. Thangavelu, Hermite multipliers on Modulation Spaces, In:Delgado J., Ruzhansky M. (eds) Analysis and Partial Differential Equations: Perspectives from Developing Countries. Springer Proceedings in Mathematics & Statistics, vol 275. Springer, Champ (2019). DOI.
5. D.G. Bhimani, Composition operators on Wiener amalgam spaces, Nagoya Math. J. 240 (2020), 257-274.
6. D.G.Bhimani, The nonlinear Schrodinger equations with harmonic potential in modulation spaces, Discrete Contin. Dyn. Syst. Series A., 39(10), (2019), 5923-5944.
7. D.G.Bhimani, Global well-posedness for fractional Hartree equation on modulation spaces and Fourier algebra, J. Differential Equations, 268 (1), (2019), 141-159.
8. D.G. Bhimani, M. Grillakis, and K.A.Okoudjou, The Hartree-Fock equations in modulation spaces , Comm. in Partial Differential Equations, 45 (9) (2020), 1088-1117.
9. D.G. Bhimani, R. Carles, Norm inflation for nonlinear Schrodinger equations in Fourier-Lebesgue and modulation spaces with negative regularity, J. Fourier Anal. Appl. 26( 6) 2020, paper no. 78, 34 pp.
10. D.G. Bhimani, K.A. Okoudjou, Bimodal Wilson systems in L2(R), J. Math. Ana. Appl. 505 (1) (2020), 25 pp.
11. D.G. Bhimani, R. Manna, F. Nicola, S. Thangavelu and I. S. Trapasso, Phase space analysis of the Hermite semigroup and applications to nonlinear global well-posedness, Adv. Math. 392 (2021) 107995.
12. D.G. Bhimani, Global Cauchy problems for the Klein-Gordon, wave and fractional Schrodinger equations with Hartree nonlinearity on modulation spaces, Electron. J. Differential Equations, 2021, Paper No. 101, 23 pp.
13. D.G. Bhimani, S. Haque, Norm Inflation for Benjamin–Bona–Mahony Equation in Fourier Amalgam and Wiener Amalgam Spaces with Negative Regularity, Mathematics 2021, 9(23), 3145; https://doi.org/10.3390/math9233145 (This article belongs to the Special Issue Microlocal and Time-Frequency Analysis, Editors: Elena Cordero and S. Ivan Trapasso)
14. D.G. Bhimani, H. Hajaiej, S. Haque, T. Luo, A sharp Gagliardo-Nirenberg inequality and its applications to fractional problems with in homogeneous nonlinearity, Evol. Equ. Control Theory, 12 (2023), no. 1, 362-390.
15. D.G. Bhimani, S. Haque, The Hartree and Hartree-Fock equations in Lp and Fourier−Lp spaces, Ann. Henri Poincare. (2023), no. 3, 1005-1049.
16. D.G. Bhimani, The Blow-up solutions for fractional heat equations on torus and Euclidean space, Nonlinear Differential Equations and Applications (NoDEA). 30 (2023), no. 2, Paper No. 19. 22 pp.
17. J. Toft, D.G. Bhimani, R. Manna , Trace maps on quasi-Banach modulation spaces and applications to pseudo-differential operators of amplitude type, Analysis and Applications. 1. 21 (2023), no. 2, 453-495.
18. D.G. Bhimani, S. Haque, Strong ill-posedness for fractional Hartree and cubic NLS equations, J. Funct. Anal. 285 (11) (2023), Paper No. 110157, 46 pp.
19. D.G. Bhimani, S. Haque, Norm inflation for nonlinear wave equation with infinite loss of regularity in Wiener amalgam spaces, Nonlinear Anal. 223 (2022), Paper No. 113076.
20. J. Toft, D.G. Bhimani, R. Manna, Fractional Fourier transforms, harmonic oscillator propagators and Strichartz estimates on Pilipovic and modulation spaces, Appl. Comput. Harmon. Anal. 67 (2023), 101580.
21. D.G. Bhimani, Tianxiang Gou, H. Hichem, Normalized solutions to nonlinear Schrodinger equations with competing Hartree-type non-linearities, arXive:2209.00429. Accepted in Mathematische Nachrichten.
22. D.G. Bhimani, R. Manna, F. Nicola, S. Thangavelu and I. S. Trapasso, On the heat equation associated to fractional harmonic oscillator, Fract Calc Appl Anal (2023). https://doi.org/10.1007/s13540-023-00208-6 (open access).
23. D.G. Bhimani, S. Haque, On inhomogeneous heat equation with inverse square potential, arXiv:2210.09910.
24. D.G. Bhimani, H. Hichem and S. Haque, The mixed fractional Hartree equations in Fourier amalgam and modulation spaces , arXiv:2302.10683.
25. D.G. Bhimani, M. Majdoub and R. Manna, Heat equations associated to harmonic oscillator with exponential nonlinearity, arXiv:2306.02828
26. D.G. Bhimani, J. Toft, Factorizations in quasi-Banach modules and applications, arXiv:2307.01590
27. D.G. Bhimani, S. Haque, Remark on the ill-posedness for KdV-Burgers equation in Fourier amalgam spaces, arXiv:2307.10599
28. D. G. Bhimani, The Global well-posedness for Klein-Gordon-Hartree equation in modulation spaces, arXiv:2307.11456
29. D.G. Bhimani, R. K. Dalai, Pointwise convergence for the heat equation on tori and waveguide manifold, arXiv:2406.14271
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