American Institute of Mathematical Sciences

November  2009, 24(4): 1275-1292. doi: 10.3934/dcds.2009.24.1275

The focusing energy-critical fourth-order Schrödinger equation with radial data

 1 Department of Mathematics, University of Cergy-Pontoise, CNRS UMR 8088, 2, avenue Adolphe Chauvin, 95302 CERGY-PONTOISE cedex, France

Received  May 2008 Revised  September 2008 Published  May 2009

In this paper, we investigate the focusing energy-critical fourth-order Schrödinger equation in the radial setting. We prove global existence and scattering for solutions of energy and $\dot{H}^2$-norm below that of the ground state.
Citation: Benoît Pausader. The focusing energy-critical fourth-order Schrödinger equation with radial data. Discrete & Continuous Dynamical Systems - A, 2009, 24 (4) : 1275-1292. doi: 10.3934/dcds.2009.24.1275
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