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A NOTE ON ILL-POSEDNESS OF THE CAUCHY PROBLEM FOR HEISENBERG WAVE MAPS

By Luca Capogna, Jalal Shatah and Communicated David S. Tartakoff

Abstract

Abstract. We introduce a notion of wave maps with a target in the sub-Riemannian Heisenberg group and study their relation with Riemannian wave maps with range in Lagrangian submanifolds. As an application we establish existence and eventually ill-posedness of the corresponding Cauchy problem. 1

Year: 2013
OAI identifier: oai:CiteSeerX.psu:10.1.1.353.3446
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