4 papers
Long-time Strichartz estimates on 3D waveguide with applications
Yangkendi Deng, Boning Di, Jiao Ma +2
We study long-time Strichartz estimates for the Schrödinger equation on waveguide manifolds, and use them to establish upper bounds on the growth of Sobolev norms for the nonlinea…
Stability for Strichartz inequalities: Existence of minimizers
Boning Di, Dunyan Yan
We study the quantitative stability associated with the adjoint Fourier restriction inequality, focusing on the paraboloid and two-dimensional sphere cases. We show that these Stri…
On extremals for Fourier extension estimate to fractional surface
Boning Di, Ning Liu, Dunyan Yan
This article investigates the Fourier extension operator associated with the fractional surface for . We show that the relevant Fourier extens…
Extremizers for the Strichartz Inequality for a Fourth-Order Schrödinger Equation
Boning Di, Ryan Frier
In this paper, we consider the Strichartz inequality for a fourth-order Schrödinger equation on . We show that extremizers exist using a linear profile decomposi…