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A Note On Ill-Posedness Of The Cauchy Problem For Heisenberg Wave Maps, Luca Capogna, Jalal Shatah
A Note On Ill-Posedness Of The Cauchy Problem For Heisenberg Wave Maps, Luca Capogna, Jalal Shatah
Mathematics Sciences: Faculty Publications
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.