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

Luca Capogna; Jalal Shatah

doi:10.1090/S0002-9939-08-09302-7

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

Luca Capogna, Jalal Shatah

Mathematics

Research output: Contribution to journal › Article › peer-review

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 language	English (US)
Pages (from-to)	1619-1629
Number of pages	11
Journal	Proceedings of the American Mathematical Society
Volume	136
Issue number	5
DOIs	https://doi.org/10.1090/S0002-9939-08-09302-7
State	Published - May 2008

Keywords

Heisenberg group
Wave maps

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/S0002-9939-08-09302-7

Cite this

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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.",

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

Abstract

Keywords

ASJC Scopus subject areas

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