5 papers
The Calderón Problem for Quasilinear Conductivities of Conformally Transversally Anisotropic Media
Xi Chen, Ziyun Jin
This paper investigates Calderón's problem on a conformally transversally anisotropic manifold of dimension , where the conductivity might depend o…
Inverse problem for fractional Schrödinger equations with drift on closed Riemannian manifolds
Tianyu Cai, Xi Chen
This paper is concerned about the inverse coefficient problems of variable-coefficient fractional Schrödinger equations with drift on connected closed Riemannian manifolds. We prov…
An inverse problem for the Standard Model of particle physics
Xi Chen, Matti Lassas, Lauri Oksanen +1
We pose and solve an inverse problem for the classical field equations that arise in the Standard Model of particle physics. Our main result describes natural conditions on the rep…
The defocusing Calogero--Moser derivative nonlinear Schr{ö}dinger equation with a nonvanishing condition at infinity
Xi Chen
We consider the defocusing Calogero--Moser derivative nonlinear Schr{ö}dinger equation\begin{align*}i \partial_{t} u+\partial_{x}^2 u-2ΠD\left(|u|^{2}\right)u=0, \quad (t,x ) \in \…
Spectrally accurate fully discrete schemes for some nonlocal and nonlinear integrable PDEs via explicit formulas
Yvonne Alama Bronsard, Xi Chen, Matthieu Dolbeault
We construct fully-discrete schemes for the Benjamin-Ono, Calogero-Sutherland DNLS, and cubic Szegő equations on the torus, which are with $\textit{spectra…