On the stability of stationary wave maps

Jalal Shatah, A. Shadi Tahvildar-Zadeh

Research output: Contribution to journalArticle

Abstract

Equivariant wave maps from double-struck S sign2 × ℝ into double-struck S sign2 have smooth, stationary solutions which are critical points of the energy subject to constant charge. These solutions are globally stable under equivariant perturbations. Consequently, there exists a large set of initial data, with no degree or energy restrictions, for which the Cauchy problem is globally well-posed.

Original languageEnglish (US)
Pages (from-to)231-256
Number of pages26
JournalCommunications in Mathematical Physics
Volume185
Issue number1
StatePublished - 1997

Fingerprint

Equivariant
Cauchy problem
Energy
Stationary Solutions
Large Set
Critical point
Cauchy Problem
critical point
constrictions
Charge
Restriction
Perturbation
perturbation
energy

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics

Cite this

Shatah, J., & Tahvildar-Zadeh, A. S. (1997). On the stability of stationary wave maps. Communications in Mathematical Physics, 185(1), 231-256.

On the stability of stationary wave maps. / Shatah, Jalal; Tahvildar-Zadeh, A. Shadi.

In: Communications in Mathematical Physics, Vol. 185, No. 1, 1997, p. 231-256.

Research output: Contribution to journalArticle

Shatah, J & Tahvildar-Zadeh, AS 1997, 'On the stability of stationary wave maps', Communications in Mathematical Physics, vol. 185, no. 1, pp. 231-256.
Shatah J, Tahvildar-Zadeh AS. On the stability of stationary wave maps. Communications in Mathematical Physics. 1997;185(1):231-256.
Shatah, Jalal ; Tahvildar-Zadeh, A. Shadi. / On the stability of stationary wave maps. In: Communications in Mathematical Physics. 1997 ; Vol. 185, No. 1. pp. 231-256.
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