Vol. 7, No. 3, 2014

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ISSN: 1948-206X (e-only)
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Scattering for a massless critical nonlinear wave equation in two space dimensions

Martin Sack

Vol. 7 (2014), No. 3, 701–715
Abstract

We prove scattering for a massless wave equation which is critical in two space dimensions. Our method combines conformal inversion with decay estimates from Struwe’s previous work on global existence of a similar equation.

Keywords
nonlinear wave equation, energy critical, scattering theory
Mathematical Subject Classification 2010
Primary: 35L71
Secondary: 35B40
Milestones
Received: 4 June 2013
Revised: 14 February 2014
Accepted: 11 April 2014
Published: 18 June 2014
Authors
Martin Sack
Department of Mathematics
ETH Zürich
CH-8092 Zürich
Switzerland