Geodesic
Repulsion and quantization in almost-harmonic maps, and asymptotics of the harmonic map flow
Peter Topping1
1 Mathematics Institute, University of Warwick, Coventry CV4 7AL, United Kingdom
Annals of mathematics, Tome 159 (2004) no. 2, pp. 465-534.

Voir la notice de l'article provenant de la source Annals of Mathematics website

We present an analysis of bounded-energy low-tension maps between 2-spheres. By deriving sharp estimates for the ratio of length scales on which bubbles of opposite orientation develop, we show that we can establish a ‘quantization estimate’ which constrains the energy of the map to lie near to a discrete energy spectrum. One application is to the asymptotics of the harmonic map flow; we find uniform exponential convergence in time, in the case under consideration.
DOI : 10.4007/annals.2004.159.465

Peter Topping 1

1 Mathematics Institute, University of Warwick, Coventry CV4 7AL, United Kingdom 
@article{10_4007_annals_2004_159_465,
     author = {Peter Topping},
     title = {Repulsion and quantization in almost-harmonic maps, and asymptotics of the harmonic map flow},
     journal = {Annals of mathematics},
     pages = {465--534},
     publisher = {mathdoc},
     volume = {159},
     number = {2},
     year = {2004},
     doi = {10.4007/annals.2004.159.465},
     mrnumber = {2081434},
     zbl = {1065.58007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4007/annals.2004.159.465/}
}
TY  - JOUR
AU  - Peter Topping
TI  - Repulsion and quantization in almost-harmonic maps, and asymptotics of the harmonic map flow
JO  - Annals of mathematics
PY  - 2004
SP  - 465
EP  - 534
VL  - 159
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4007/annals.2004.159.465/
DO  - 10.4007/annals.2004.159.465
LA  - en
ID  - 10_4007_annals_2004_159_465
ER  - 
%0 Journal Article
%A Peter Topping
%T Repulsion and quantization in almost-harmonic maps, and asymptotics of the harmonic map flow
%J Annals of mathematics
%D 2004
%P 465-534
%V 159
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4007/annals.2004.159.465/
%R 10.4007/annals.2004.159.465
%G en
%F 10_4007_annals_2004_159_465
Peter Topping. Repulsion and quantization in almost-harmonic maps, and asymptotics of the harmonic map flow. Annals of mathematics, Tome 159 (2004) no. 2, pp. 465-534. doi : 10.4007/annals.2004.159.465. http://geodesic.mathdoc.fr/articles/10.4007/annals.2004.159.465/

Cité par Sources :