Regularity of harmonic maps from the Minkowski space into rotationally symmetric manifolds

J. Shath; A. Tahvildar‐Zadeh

doi:10.1002/cpa.3160450803

Regularity of harmonic maps from the Minkowski space into rotationally symmetric manifolds

J. Shath, A. Tahvildar‐Zadeh

School of Arts and Sciences, Mathematics

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

54 Scopus citations

Abstract

We prove global regularity for the solution to the Cauchy problem with regular data for an equivariant harmonic map from the 2 + 1‐dimensional Minkowski space into a two‐dimensional, rotationally symmetric, and geodesically convex Riemannian manifold.

Original language	English (US)
Pages (from-to)	947-971
Number of pages	25
Journal	Communications on Pure and Applied Mathematics
Volume	45
Issue number	8
DOIs	https://doi.org/10.1002/cpa.3160450803
State	Published - Sep 1992

All Science Journal Classification (ASJC) codes

Mathematics(all)
Applied Mathematics

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title = "Regularity of harmonic maps from the Minkowski space into rotationally symmetric manifolds",

abstract = "We prove global regularity for the solution to the Cauchy problem with regular data for an equivariant harmonic map from the 2 + 1‐dimensional Minkowski space into a two‐dimensional, rotationally symmetric, and geodesically convex Riemannian manifold.",

author = "J. Shath and A. Tahvildar‐Zadeh",

year = "1992",

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AU - Tahvildar‐Zadeh, A.

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AB - We prove global regularity for the solution to the Cauchy problem with regular data for an equivariant harmonic map from the 2 + 1‐dimensional Minkowski space into a two‐dimensional, rotationally symmetric, and geodesically convex Riemannian manifold.

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JO - Communications on Pure and Applied Mathematics

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Regularity of harmonic maps from the Minkowski space into rotationally symmetric manifolds

Abstract

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