N. Tzvetkov

1. Bilinear Eigenfunction Estimates and the Nonlinear Schroedinger Equation on Surfaces
   2003/08/22 by Nicolas Burq, N. Burq, P. G�rard +4 · 22 citations
   Mathematics · #Advanced Mathematical Physics Problems #Mathematical Analysis and Transform Methods #Spectral Theory in Mathematical Physics #math.AP #math.SP
2. Restrictions of the Laplace-Beltrami eigenfunctions to submanifolds
   2005/06/20 by N. Burq, Nicolas Burq, Burq, N. +6 · 10 citations
   Computer Science · Mathematics · #34L20 #81Q10 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Numerical methods in inverse problems #Spectral Theory (math.SP) #math.AP #math.SP #msc:34L20 #msc:81Q10
3. Construction of a Gibbs measure associated to the periodic Benjamin-Ono equation
   2006/10/20 by N. Tzvetkov, Nikolay Tzvetkov, Tzvetkov, N. · 6 citations
   Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Waves and Solitons #Probability (math.PR) #Spectral Theory in Mathematical Physics #math.AP #math.PR
4. Multilinear Eigenfunction Estimates And Global Existence For The Three Dimensional Nonlinear SchrÖdinger Equations
   2004/09/01 by N. Burq, Nicolas Burq, Burq, N. +6 · 5 citations
   Mathematics · #35BXX #35Q55 #37K05 #37L50 #81Q20 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Analysis and Transform Methods #advanced mathematical theories #math.AP #msc:35BXX #msc:35Q55 #msc:37K05 #msc:37L50 #msc:81Q20
5. Transverse nonlinear instability for two-dimensional dispersive models
   2006/12/18 by F. Rousset, N. Tzvetkov, Rousset, F. +1 · 5 citations
   Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP
6. H¹ scattering for mass-subcritical NLS with short-range nonlinearity and initial data in Σ
   2021/11/15 by N. Burq, Burq, N., Vladimir Georgiev +5 · 5 citations
   Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Chromodynamics and Particle Interactions
7. Growth of Sobolev Norms for 2d NLS with harmonic potential
   2021/10/28 by F. Planchon, N. Tzvetkov, Planchon, F. +3 · 3 citations
   Engineering · Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Stability and Controllability of Differential Equations
8. L^p properties for Gaussian random series
   2006/10/04 by A. Ayache, Antoine Ayache, N. Tzvetkov +3 · 1 citation
   Decision Sciences · Mathematics · #Advanced Harmonic Analysis Research #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Approximation and Integration #Probability (math.PR) #Probability and Risk Models #math.CA #math.PR
9. A simple criterion of transverse linear instability for solitary waves
   2009/10/20 by F. Rousset, N. Tzvetkov, Rousset, F. +1 · 1 citation
   Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Spectral Theory (math.SP) #math.AP #math.SP
10. Gaussian measures associated to the higher order conservation laws of the Benjamin-Ono equation
    2011/09/24 by N. Tzvetkov, Nicola Visciglia, Tzvetkov, N. +1 · 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