On the existence and stability of blowup for wave maps into a negatively curved target


الملخص بالإنكليزية

We consider wave maps on $(1+d)$-dimensional Minkowski space. For each dimension $dgeq 8$ we construct a negatively curved, $d$-dimensional target manifold that allows for the existence of a self-similar wave map which provides a stable blowup mechanism for the corresponding Cauchy problem.

تحميل البحث