Dynamics of Partial Differential Equations

Volume 4 (2007)

Number 3

Global well-posedness for energy critical fourth-order Schrödinger equations in the radial case

Pages: 197 – 225

DOI: http://dx.doi.org/10.4310/DPDE.2007.v4.n3.a1

Author

Benoit Pausader (Département de Mathématiques, Université de Cergy-Pontoise, France)

Abstract

Energy-critical fourth order Schrödinger equations are investigated. We establish local well-posedness and stability in a general setting, and we prove global well-posedness and scattering in the defocusing case for radially symmetrical initial data.

Keywords

energy-critical fourth order Schrödinger equations, local wellposedness, global well-posedness

2010 Mathematics Subject Classification

35-xx, 42-xx, 76-xx

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