The Schrödinger map equation is a geometric Schrödinger model, closely associated to the harmonic heat flow and to the wave map equation. The aim of these notes is to describe recent and ongoing work on this model, as well as a number of related open problems.
@article{JEDP_2012____A9_0, author = {Tataru, Daniel}, title = {Schr\"odinger maps}, journal = {Journ\'ees \'equations aux d\'eriv\'ees partielles}, eid = {9}, pages = {1--11}, publisher = {Groupement de recherche 2434 du CNRS}, year = {2012}, doi = {10.5802/jedp.92}, language = {en}, url = {http://www.numdam.org/articles/10.5802/jedp.92/} }
Tataru, Daniel. Schrödinger maps. Journées équations aux dérivées partielles (2012), article no. 9, 11 p. doi : 10.5802/jedp.92. http://www.numdam.org/articles/10.5802/jedp.92/
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