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Global Well-Posedness for Energy Critical Fourth-Order Schrodinger Equations in the Radial Case

B. Pausader

2007Dynamics of Partial Differential Equations

DOI: 10.4310/dpde.2007.v4.n3.a1

tlooto Summary

Energy-critical fourth-order Schrodinger equations' global well-posedness and scattering proven for radially symmetrical initial data.

Abstract

Energy-critical fourth order Schrodinger 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.

Citation format

PAUSADER, B. Global well-posedness for energy critical fourth-order schrodinger equations in the radial case. Dynamics of Partial Differential Equations, 2007, 4: 197–225.