Scattering for a massless critical nonlinear wave equation in two space dimensions

Sack, Martin

doi:10.2140/apde.2014.7.701

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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

DOI: 10.2140/apde.2014.7.701

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

Vol. 7, No. 3, 2014