Publication

Full blow-up range for co-rotaional wave maps to surfaces of revolution

2014
Journal Articles

Résumé

We construct blow-up solutions of the energy critical wave map equation on $\mathbb{R}^{2+1}\to \mathcal N$ with polynomial blow-up rate ( $t^{-1-\nu}$ for blow-up at $t=0$ ) in the case when $\mathcal N$ is a surface of revolution. Here we extend the blow-up range found by Carstea ( $\nu>\frac 12$ ) based on the work by Krieger, Schlag and Tataru to $\nu>0$ . 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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2014
Journal Articles

Résumé

Source officielle

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Publications associées (16)

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Full blow-up range for co-rotaional wave maps to surfaces of revolution

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