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In mathematical physics, the '''wave maps equation''' is

: <math>D^\alpha \partial_\alpha u = 0 \, </math>

where <math>D</math> is a [[Connection_(mathematics)|connection]]. <ref>{{cite journal|last=Tataru|first=Daniel|title=Rough solutions for the wave maps equation|journal=American Journal of Mathematics|date=1 January 2005|volume=127|issue=2|pages=293–377|doi=10.1353/ajm.2005.0014}}</ref><ref>{{cite journal | zbl=1065.35199 | last=Tataru | first=Daniel | title=The wave maps equation | journal=[[Bulletin of the American Mathematical Society]] (n.s.) | volume=41 |number=2 | pages=185–204 | year=2004 | url=http://www.ams.org/journals/bull/2004-41-02/S0273-0979-04-01005-5/S0273-0979-04-01005-5.pdf }}</ref>

It can be considered, in some ways a natural extension of the wave equation for [[Riemannian manifolds]]. <ref>http://www.math.ucla.edu/~tao/preprints/wavemaps.pdf</ref>
== References ==
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[[Category:Equations]]


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