Wave maps equation

In mathematical physics, the wave maps equation is

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


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