279 citations · 1.4k across the 39 of their papers we have counts for
Showing 2018 · math.APShow all
3 papers · 2 filters
math.AP2018★ 7 cited
Biharmonic wave maps into spheres
Sebastian Herr, Tobias Lamm, Roland Schnaubelt
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 b…
math.AP2018★ 14 cited
On the Division Problem for the Wave Maps Equation
Timothy Candy, Sebastian Herr
We consider Wave Maps into the sphere and give a new proof of small data global well-posedness and scattering in the critical Besov space, in any space dimension . We use…
math.AP2018★ 16 cited
Unconditional Uniqueness Results for the Nonlinear Schrödinger Equation
Sebastian Herr, Vedran Sohinger
We study the problem of unconditional uniqueness of solutions to the cubic nonlinear Schrödinger equation. We introduce a new strategy to approach this problem on bounded domains,…