## The wave maps equation

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- by Daniel Tataru PDF
- Bull. Amer. Math. Soc.
**41**(2004), 185-204 Request permission

## Abstract:

The wave maps equation has become a very popular topic in recent years. The aim of these expository notes is to present a non-technical survey of the ideas and methods which have proved useful in the study of wave maps, leading up to the latest results. The remaining open problems are also stated and explained.## References

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*Ill posedness results for the two dimensional wave maps equation*, preprint.

*Global regularity of wave maps from $R^{3+1}$ to surfaces*, Comm. Math. Phys. 238 (2003), no. 1-2, 333–366.

*On the well-posedness of the wave map problem in high dimensions*, preprint.

*Small solutions for the wave maps equation in critical Sobolev spaces*, preprint.

## Additional Information

**Daniel Tataru**- Affiliation: Department of Mathematics, University of California, Berkeley, California 94720
- MR Author ID: 267163
- Email: tataru@math.berkeley.edu
- Received by editor(s): May 10, 2003
- Received by editor(s) in revised form: September 28, 2003
- Published electronically: January 8, 2004
- Additional Notes: Lecture presented at the AMS Special Session on Mathematical Current Events: Expository Reports in Baltimore, MD, January 17, 2003
- © Copyright 2004 American Mathematical Society
- Journal: Bull. Amer. Math. Soc.
**41**(2004), 185-204 - MSC (2000): Primary 35L70
- DOI: https://doi.org/10.1090/S0273-0979-04-01005-5
- MathSciNet review: 2043751