Biharmonic wave maps into spheres
Analysis of PDEs
2019-12-24 v2 Differential Geometry
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.
Keywords
Cite
@article{arxiv.1812.03718,
title = {Biharmonic wave maps into spheres},
author = {Sebastian Herr and Tobias Lamm and Roland Schnaubelt},
journal= {arXiv preprint arXiv:1812.03718},
year = {2019}
}
Comments
Minor modifications, to appear in Proc. Amer. Math. Soc