Biharmonic wave maps into spheres
arXiv:1812.03718 · doi:10.1090/proc/14744
Abstract
A global weak solution of the biharmonic wave map equation in the energy space for spherical targets is constructed. The equation is reformulated as a conservation law and solved by a suitable Ginzburg-Landau type approximation.
Minor modifications, to appear in Proc. Amer. Math. Soc