Complex-valued solutions of the Benjamin-Ono equation
We prove that the Benjamin-Ono initial-value problem is locally well-posed for small, complex-valued data in Sobolev spaces with special low-frequency structure.
math.AP↗
arXiv subjects
Alexandru D. Ionescu Carlos E. Kenig
Publications and source records attributed to Alexandru D. Ionescu Carlos E. Kenig.
Low-regularity Schrödinger maps, II: global well-posedness in dimensions $d\geq 3$
In dimensions greater than or equal to 3, we prove that the Schroedinger map initial-value problem is globally well-posed for small data in the critical Besov space.
math.AP↗
Low-regularity Schrödinger maps
We prove that the Schroedinger map initial-value problem is locally well-posed for small data in the Sobolev spaces $H^σ$, $σ>(d+1)/2$.
math.AP↗