A note on ill-posedness of the cauchy problem for Heisenberg wave maps

Luca Capogna, Jalal Shatah

Research output: Contribution to journalArticle

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.

Original languageEnglish (US)
Pages (from-to)1619-1629
Number of pages11
JournalProceedings of the American Mathematical Society
Volume136
Issue number5
DOIs
StatePublished - May 2008

Keywords

  • Heisenberg group
  • Wave maps

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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