4 papers
Fully fractional Schrödinger equations with memory: well-posedness via extension
Nicola Garofalo, Gigliola Staffilani
We study the nonlinear Schrödinger equation with memory $\Le^s u=μ|u|^{p-1}u$ for , where $\Le^s=(\partial_t-iΔ_x)^s$, , and the solution is prescribed for all .…
Strichartz estimates for Schrödinger equations with nonlinear boundary interactions
Nicola Garofalo, Gigliola Staffilani
We study a Schrödinger equation in the upper half-space with a nonlinear Neumann boundary interaction driven by the Bessel operator $\Ba$, . The problem arises naturally as a…
Strichartz estimates for a Schrödinger equation on the half-line with a Neumann boundary condition
Nicola Garofalo, Gigliola Staffilani
In this paper we prove some new Strichartz estimates related to the Cauchy problem for the Bessel operator on the half-line and we establish a fractal version of the Tomas-Stein re…
Strichartz estimates for a class of Schrödinger equations with a drift
Federico Buseghin, Nicola Garofalo
We establish new intrinsic Strichartz estimates for solutions of the Cauchy problem for a class of possibly degenerate Schrödinger equations with a real drift.