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Tzvetkov, Nikolay

  1. Gibbs measure for the periodic derivative nonlinear Schrödinger equation
    2010/01/24 by Laurent Thomann, Nikolay Tzvetkov, Thomann, Laurent +1 · 4 citations
    Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Quantum chaos and dynamical systems #advanced mathematical theories
  2. Quasi-invariant Gaussian measures for the cubic fourth order nonlinear Schrödinger equation
    2015/08/04 by Oh, Tadahiro, Tzvetkov, Nikolay · 5 citations
    #Analysis of PDEs (math.AP) #FOS: Mathematics #Probability (math.PR)
  3. An optimal regularity result on the quasi-invariant Gaussian measures for the cubic fourth order nonlinear Schrödinger equation
    2017/07/06 by Oh, Tadahiro, Sosoe, Philippe, Tzvetkov, Nikolay · 5 citations
    #35Q55 #Analysis of PDEs (math.AP) #FOS: Mathematics #Probability (math.PR)
  4. Small data scattering for the nonlinear Schrödinger equation on product spaces
    2010/11/29 by Tzvetkov, Nikolay, Visciglia, Nicola · 3 citations
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  5. Strichartz estimates for the periodic non elliptic Schrodinger equation
    2012/07/01 by Godet, Nicolas, Tzvetkov, Nikolay · 3 citations
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  6. Modified scattering for the cubic Schrödinger equation on product spaces and applications
    2013/11/10 by Hani, Zaher, Pausader, Benoit, Tzvetkov, Nikolay +1 · 3 citations
    #35Q55 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
  7. Remarks on the Gibbs measures for nonlinear dispersive equations
    2014/12/23 by Burq, Nicolas, Thomann, Laurent, Tzvetkov, Nikolay · 3 citations
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  8. Probabilistic well-posedness for the cubic wave equation
    2011/03/11 by Burq, Nicolas, Tzvetkov, Nikolay · 3 citations
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  9. Nonlinear wave interactions for the Benjamin-Ono equation
    2004/11/19 by Herbert Koch, Nikolay Tzvetkov, Koch, Herbert +1 · 2 citations
    Mathematics · #35Q55 #37K10 #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP #msc:35Q55 #msc:37K10
  10. Invariant measures for the Nonlinear Schrodinger equation on the disc
    2006/03/04 by Nikolay Tzvetkov, Tzvetkov, Nikolay · 2 citations
    Mathematics · #Advanced Mathematical Physics Problems #advanced mathematical theories #Advanced Harmonic Analysis Research
  11. Transverse instability of the line solitary water-waves
    2009/06/13 by Rousset, Frederic, Tzvetkov, Nikolay · 2 citations
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  12. Strichartz estimates for non elliptic Schrödinger equations on compact manifolds
    2014/06/18 by Haruya Mizutani, Nikolay Tzvetkov, Mizutani, Haruya +1 · 2 citations
    Mathematics · #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Analysis and Transform Methods
  13. Random data wave equations
    2017/04/04 by Nikolay Tzvetkov, Tzvetkov, Nikolay · 2 citations
    Mathematics · Earth and Planetary Sciences · #Advanced Mathematical Physics Problems #Seismic Imaging and Inversion Techniques
  14. Two dimensional nonlinear Schrödinger equation with spatial white noise potential and fourth order nonlinearity
    2020/06/14 by Nikolay Tzvetkov, Nicola Visciglia, Tzvetkov, Nikolay +1 · 2 citations
    Mathematics · Engineering · Economics, Econometrics and Finance · #Advanced Mathematical Physics Problems #Stability and Controllability of Differential Equations #Stochastic processes and financial applications
  15. Transport of Gaussian measures with exponential cut-off for Hamiltonian PDEs
    2021/03/07 by Giuseppe Genovese, Renato Lucà, Genovese, Giuseppe +3 · 2 citations
    Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Quantum Chromodynamics and Particle Interactions #Black Holes and Theoretical Physics
  16. Transverse nonlinear instability of solitary waves for some Hamiltonian PDE's
    2008/04/08 by Rousset, Frederic, Tzvetkov, Nikolay · 1 citation
    #35BXX #35Q55 #37K05 #37L50 #81Q20 #Analysis of PDEs (math.AP) #FOS: Mathematics
  17. Quasi-invariant gaussian measures for one dimensional Hamiltonian PDE's
    2015/06/11 by Tzvetkov, Nikolay · 2 citations
    #Analysis of PDEs (math.AP) #FOS: Mathematics #Probability (math.PR)
  18. Quasi-invariant Gaussian measures for the two-dimensional defocusing cubic nonlinear wave equation
    2017/03/31 by Oh, Tadahiro, Tzvetkov, Nikolay · 1 citation
    #35L71 #60H30 #Analysis of PDEs (math.AP) #FOS: Mathematics #Probability (math.PR)
  19. Quasi-invariance of Gaussian measures for the 3d energy critical nonlinear Schr" odinger equation
    2023/08/24 by Sun, Chenmin, Tzvetkov, Nikolay · 3 citations
    #Analysis of PDEs (math.AP) #FOS: Mathematics #Probability (math.PR)
  20. Quasi-invariant Gaussian measures for the cubic nonlinear Schrödinger equation with third order dispersion
    2018/05/22 by Oh, Tadahiro, Tsutsumi, Yoshio, Tzvetkov, Nikolay · 1 citation
    #35Q55 #Analysis of PDEs (math.AP) #FOS: Mathematics
  21. On the periodic Zakharov-Kuznetsov equation
    2018/09/06 by Linares, Felipe, Panthee, Mahendra, Robert, Tristan +1 · 1 citation
    #35Q53 #Analysis of PDEs (math.AP) #FOS: Mathematics
  22. Quasi-invariance of Gaussian measures for the periodic Benjamin-Ono-BBM equation
    2021/07/07 by Giuseppe Genovese, Renato Lucà, Genovese, Giuseppe +3 · 1 citation
    Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Black Holes and Theoretical Physics #FOS: Mathematics #Nonlinear Waves and Solitons #Probability (math.PR)
  23. Well-posedness and scattering for NLS on \Rd× \T in the energy space
    2014/09/13 by Nikolay Tzvetkov, Tzvetkov, Nikolay, Nicola Visciglia +1 · 1 citation
    Mathematics · #Advanced Mathematical Physics Problems #Navier-Stokes equation solutions #Mathematical Analysis and Transform Methods
  24. Probabilistic well-posedeness for the nonlinear Schrödinger equation on the 2d sphere I: positive regularities
    2024/04/28 by Burq, Nicolas, Camps, Nicolas, Sun, Chenmin +1 · 2 citations
    #35A01 #35Q55 #35R01 #35R60 #37KXX #Analysis of PDEs (math.AP) #FOS: Mathematics
  25. Uniqueness and non-uniqueness of the Gaussian free field evolution under the two-dimensional Wick ordered cubic wave equation
    2022/06/01 by Oh, Tadahiro, Okamoto, Mamoru, Tzvetkov, Nikolay · 2 citations
    #35L71 #60H30 #Analysis of PDEs (math.AP) #FOS: Mathematics #Probability (math.PR)
  26. Gibbs measure dynamics for the fractional NLS
    2019/12/16 by Chenmin Sun, Nikolay Tzvetkov, Sun, Chenmin +1 · 1 citation
    Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Photonic Systems #Nonlinear Waves and Solitons
  27. On the propagation of weakly nonlinear random dispersive waves
    2012/08/28 by de Suzzoni, Anne-Sophie, Tzvetkov, Nikolay · 1 citation
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  28. Quasi-invariance of low regularity Gaussian measures under the gauge map\n of the periodic derivative NLS
    2020/08/23 by Giuseppe Genovese, Renato Lucà, Genovese, Giuseppe +3 · 1 citation
    Mathematics · Physics and Astronomy · #35Q55 #37A05 #60G22 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Black Holes and Theoretical Physics #FOS: Mathematics #Functional Analysis (math.FA) #Probability (math.PR) #Quantum Chromodynamics and Particle Interactions
  29. Refined probabilistic global well-posedness for the weakly dispersive\n NLS
    2020/10/25 by Chenmin Sun, Nikolay Tzvetkov, Sun, Chenmin +1 · 1 citation
    Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Black Holes and Theoretical Physics #FOS: Mathematics #Navier-Stokes equation solutions #Probability (math.PR)
  30. The Second Picard iteration of NLS on the 2d sphere does not regularize Gaussian random initial data
    2024/04/28 by Burq, Nicolas, Camps, Nicolas, Latocca, Mickaël +2 · 1 citation
    #35A01 #35Q55 #35R01 #35R60 #37KXX #Analysis of PDEs (math.AP) #FOS: Mathematics
  31. A smoothing effect for the fractional Schrödinger equations on the circle and observability
    2024/03/19 by Alphonse, Paul, Tzvetkov, Nikolay · 1 citation
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  32. Local well-posedness for the periodic Boltzmann equation with constant collision kernel
    2024/11/19 by Başakoğlu, Engin, Tzvetkov, Nikolay, Sun, Chenmin +1 · 1 citation
    #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
  33. Global results for weakly dispersive KP-II equations on the cylinder
    2025/04/12 by Herr, Sebastian, Schippa, Robert, Tzvetkov, Nikolay · 2 citations
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  34. A remark on randomization of a general function of negative regularity
    2023/09/28 by Oh, Tadahiro, Okamoto, Mamoru, Pocovnicu, Oana +1 · 1 citation
    #35L05 #35R60 #60H15 #Analysis of PDEs (math.AP) #FOS: Mathematics #Probability (math.PR)