Harmonie Maps on Planar Lattices

Stefan Müller; Michael Struwe; Vladimir Šverák

Harmonie Maps on Planar Lattices

Stefan Müller
, Michael Struwe
, Vladimir Šverák

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

Abstract

We show that a sequence of harmonic maps from a square, two-dimensional lattice of mesh-size h to a compact Riemannian manifold N with uniformly bounded energy as h → 0 weakly accumulates at a harmonic map u : T² → N on the flat two-dimensional torus.

Original language	English (US)
Pages (from-to)	713-730
Number of pages	18
Journal	Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Volume	25
Issue number	3-4
State	Published - 1997
Externally published	Yes

Bibliographical note

Publisher Copyright:
© Scuola Normale Superiore, Pisa, 1997, tous droits réservés.

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@article{d3dd45605584410b8288e17b951fb83d,

title = "Harmonie Maps on Planar Lattices",

abstract = "We show that a sequence of harmonic maps from a square, two-dimensional lattice of mesh-size h to a compact Riemannian manifold N with uniformly bounded energy as h → 0 weakly accumulates at a harmonic map u : T2 → N on the flat two-dimensional torus.",

author = "Stefan M{\"u}ller and Michael Struwe and Vladimir {\v S}ver{\'a}k",

note = "Publisher Copyright: {\textcopyright} Scuola Normale Superiore, Pisa, 1997, tous droits r{\'e}serv{\'e}s.",

year = "1997",

language = "English (US)",

volume = "25",

pages = "713--730",

journal = "Annali della Scuola Normale Superiore di Pisa - Classe di Scienze",

issn = "0391-173X",

publisher = "Scuola Normale Superiore",

number = "3-4",

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TY - JOUR

T1 - Harmonie Maps on Planar Lattices

AU - Müller, Stefan

AU - Struwe, Michael

AU - Šverák, Vladimir

PY - 1997

Y1 - 1997

N2 - We show that a sequence of harmonic maps from a square, two-dimensional lattice of mesh-size h to a compact Riemannian manifold N with uniformly bounded energy as h → 0 weakly accumulates at a harmonic map u : T2 → N on the flat two-dimensional torus.

AB - We show that a sequence of harmonic maps from a square, two-dimensional lattice of mesh-size h to a compact Riemannian manifold N with uniformly bounded energy as h → 0 weakly accumulates at a harmonic map u : T2 → N on the flat two-dimensional torus.

UR - https://www.scopus.com/pages/publications/65349093611

UR - https://www.scopus.com/pages/publications/65349093611#tab=citedBy

M3 - Article

AN - SCOPUS:65349093611

SN - 0391-173X

VL - 25

SP - 713

EP - 730

JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

JF - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

IS - 3-4

ER -

Harmonie Maps on Planar Lattices

Abstract

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