87 citations · 92 across the 3 of their papers we have counts for
3 papers
math.AP2023
The massless and the non-relativistic limit for the cubic Dirac equation
Timothy Candy, Sebastian Herr
Massive and massless Dirac equations with Lorentz-covariant cubic nonlinearities are considered in spatial dimension . Global well-posedness of the Cauchy problem for small…
math.AP2014★ 5 cited
The energy-critical nonlinear Schrödinger equation on a product of spheres
Sebastian Herr, Nils Strunk
Let be a compact smooth -dimensional Riemannian manifold without boundary. It is proved that the energy-critical nonlinear Schrödinger equation is globally well-posed fo…
math.AP2010★ 87 cited
Convolutions of singular measures and applications to the Zakharov system
Ioan Bejenaru, Sebastian Herr
Uniform L^2-estimates for the convolution of singular measures with respect to transversal submanifolds are proved in arbitrary space dimension. The results of Bennett-Bez are used…