Full Blow-up Range for Co-rotaional Wave Maps to Surfaces of Revolution
نویسنده
چکیده
We construct blow-up solutions of the energy critical wave map equation on R → N with polynomial blow-up rate (t for blow-up at t = 0) in the case when N is a surface of revolution. Here we extend the blow-up range found by Carstea (ν > 1 2 ) based on the work by Krieger, Schlag and Tataru to ν > 0. This work relies on and generalizes the recent result of Krieger and the author where the target manifold is chosen as the standard sphere.
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