most citedLow-regularity Schrödinger maps, II: global well-posedness in dimensions

7 citations · 7 across the 3 of their papers we have counts for

collaborators

3 papers

math.AP2006

Low-regularity Schrödinger maps

Alexandru D. Ionescu Carlos E. Kenig

We prove that the Schroedinger map initial-value problem is locally well-posed for small data in the Sobolev spaces , .

math.AP2006★ 7 cited

Low-regularity Schrödinger maps, II: global well-posedness in dimensions

Alexandru D. Ionescu Carlos E. Kenig

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.AP2006

Complex-valued solutions of the Benjamin-Ono equation

Alexandru D. Ionescu Carlos E. Kenig

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.