Fabrice Planchon

Overview

Best Publications

• Strichartz estimates for the wave and Schrödinger equations with the inverse-square potential

  Nicolas Burq;Fabrice Planchon;John G. Stalker;A.Shadi Tahvildar-Zadeh

  313
  Citations

• Self-similar solutions for navier-stokes equations in

  M. Cannone;F Planchon

  224
  Citations

• Strichartz estimates for the wave and Schrödinger equations with potentials of critical decay

  Nicolas Burq;Fabrice Planchon;John G. Stalker;A. Shadi Tahvildar-Zadeh

  212
  Citations

• Solutions auto-similaires des équations de Navier-Stokes

  M. Cannone;Y. Meyer;F. Planchon

  188
  Citations

• BILINEAR VIRIAL IDENTITIES AND APPLICATIONS

  Fabrice Planchon;Luis Vega

  176
  Citations

• Global strong solutions in Sobolev or Lebesgue spaces to the incompressible Navier-Stokes equations in $\mathbb {R}^3$

  F. Planchon

  158
  Citations

• Asymptotics and stability for global solutions to the Navier-Stokes equations

  Isabelle Gallagher;Dragos Iftimie;Fabrice Planchon

  154
  Citations

• Global existence for energy critical waves in 3-d domains

  Nicolas Burq;Gilles Lebeau;Fabrice Planchon

  138
  Citations

• On well-posedness for the Benjamin-Ono equation

  Nicolas Burq;Fabrice Planchon

  118
  Citations

• On global infinite energy solutions to the Navier-Stokes equations in two dimensions

  Isabelle Gallagher;Fabrice Planchon

  105
  Citations

• Asymptotic behavior of global solutions to the Navier-Stokes equations in R3

  Fabrice Planchon

  104
  Citations

• $L^p$ Estimates for the wave equation with the inverse-square potential

  Fabrice Planchon;John G. Stalker;A. Shadi Tahvildar-Zadeh

  103
  Citations

• Dispersive estimate for the wave equation with the inverse-square potential

  Fabrice Planchon;John G. Stalker;A. Shadi Tahvildar-Zadeh

  98
  Citations

• On the growth of Sobolev norms for NLS on 2- and 3-dimensional manifolds

  Fabrice Planchon;Nikolay Tzvetkov;Nicola Visciglia

  69
  Citations

• On the regularity of the bilinear term for solutions to the incompressible Navier-Stokes equations

  Marco Cannone;Fabrice Planchon

  67
  Citations

• A profile decomposition approach to the $$L^\infty _t(L^{3}_x)$$ Navier–Stokes regularity criterion

  Isabelle Gallagher;Gabriel S. Koch;Fabrice Planchon

  66
  Citations

• Existence and Stability of the log–log Blow-up Dynamics for the L 2-Critical Nonlinear Schrödinger Equation in a Domain

  Fabrice Planchon;Pierre Raphaël

  61
  Citations

• Blow-up of critical Besov norms at a potential Navier-Stokes singularity

  Isabelle Gallagher;Gabriel S. Koch;Fabrice Planchon

  60
  Citations

• On the non-stationary Navier-Stokes equations with an external force

  Marco Cannone;Fabrice Planchon

  59
  Citations

• An Extension of the Beale-Kato-Majda Criterion for the Euler Equations

  Fabrice Planchon

  56
  Citations