Wave maps equation

In mathematical physics, the wave maps equation is

${\displaystyle D^{\alpha }\partial _{\alpha }u=0\,}$

where $D$ is a connection.^[1][2]

It can be considered a natural extension of the wave equation for Riemannian manifolds.^[3]

References

1. Tataru, Daniel (1 January 2005). "Rough solutions for the wave maps equation". American Journal of Mathematics. 127 (2): 293–377. doi:10.1353/ajm.2005.0014.
2. Tataru, Daniel (2004). "The wave maps equation" (PDF). Bulletin of the American Mathematical Society (n.s.). 41 (2): 185–204. Zbl 1065.35199.
3. http://www.math.ucla.edu/~tao/preprints/wavemaps.pdf