Author pages are created from data sourced from our academic publisher partnerships and public sources.

Publications Influence

Share This Author

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

- N. Burq, F. Planchon, John G. Stalker, A. Tahvildar-Zadeh
- Mathematics
- 18 July 2002

Bilinear virial identities and applications

- F. Planchon, L. Vega
- Mathematics
- 25 December 2007

We prove bilinear virial identities for the nonlinear Schrodinger equation, which are extensions of the Morawetz interaction inequalities. We recover and extend known bilinear improvements to… Expand

Global existence for energy critical waves in 3-d domains

- N. Burq, F. Planchon
- Mathematics
- 25 July 2006

We prove that the defocusing quintic wave equation, with Dirichlet boundary conditions, is globally well posed on for any smooth (compact) domain . The main ingredient in the proof is an spectral… Expand

Strichartz estimates for the Wave and Schrodinger Equations with Potentials of Critical Decay

- N. Burq, F. Planchon, John G. Stalker, A. Tahvildar-Zadeh
- Mathematics
- 4 January 2004

We prove weighted L^2 (Morawetz) estimates for the solutions of linear Schrodinger and wave equation with potentials that decay like |x|^{-2} for large x, by deducing them from estimates on the… Expand

On well-posedness for the Benjamin–Ono equation

- N. Burq, F. Planchon
- Mathematics
- 5 September 2005

We prove existence and uniqueness of solutions for the Benjamin–Ono equation with data in $$H^{s}({\mathbb{R}})$$ , s > 1/4. Moreover, the flow is hölder continuous in weaker topologies.

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

- F. Planchon
- Mathematics
- 2003

Abstract: The Beale-Kato-Majda criterion asserts that smooth solutions to the Euler equations remain bounded past T as long as is finite, ohgr; being the vorticity. We show how to replace this by a… Expand

On Global Infinite Energy Solutions¶to the Navier-Stokes Equations¶in Two Dimensions

- I. Gallagher, F. Planchon
- Mathematics
- 1 March 2002

Abstract This paper studies the bidimensional Navier–Stokes equations with large initial data in the homogeneous Besov space . As long as r,q < +∞, global existence and uniqueness of solutions are… Expand

Self-similar solutions for navier-stokes equations in

- M. Cannone, F. Planchon
- Mathematics
- 1 July 1996

We construct self-similar solutions for three-dimensional incompressible Navier-Stokes equations, providing some examples of functional spaces where this can be done. We apply our results to a… Expand

Self-similar solutions and semi-linear wave equations in Besov spaces

- F. Planchon
- Mathematics
- 1 October 2000

Blow-up of Critical Besov Norms at a Potential Navier–Stokes Singularity

- I. Gallagher, G. Koch, F. Planchon
- Mathematics
- 15 July 2014

We prove that if an initial datum to the incompressible Navier–Stokes equations in any critical Besov space $${\dot B^{-1+\frac 3p}_{p,q}({\mathbb {R}}^{3})}$$B˙p,q-1+3p(R3), with $${3 < p, q <… Expand

...

1

2

3

4

5

...