Krieger, Joachim2010-11-192010-11-192010-11-19200410.1007/s00220-004-1088-5https://infoscience.epfl.ch/handle/20.500.14299/57967We demonstrate that Wave Maps with smooth initial data and small energy from R2+1 to the Lobatchevsky plane stay smooth globally in time. Our method is similar to the one employed in [18]. However, the multilinear estimates required are considerably more involved and present novel technical challenges. In particular, we shall have to work with a modification of the functional analytic framework used in [30], [33], [18].Cauchy-ProblemHarmonic MapsEquationsSpacetext::journal::journal article::research article