Equivariant self-similar wave maps from Minkowski spacetime into 3-sphere

نویسنده

  • Piotr Bizoń
چکیده

We prove existence of a countable family of spherically symmetric self-similar wave maps from the Minkowski spacetime into the 3-sphere. These maps can be viewed as excitations of the ground state wave map found previously by Shatah. The first excitation is particularly interesting in the context of the Cauchy problem since it plays the role of a critical solution sitting at the threshold of singularity formation.

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تاریخ انتشار 2008