5 citations · 8 across the 12 of their papers we have counts for
5 papers · 2 filters
Heat equations in spectral Barron spaces
Mourad Choulli, Shuai Lu, Hiroshi Takase
Spectral Barron spaces, characterized by an \(L^1\)-based Fourier-Lebesgue norm, have earned significant attention in approximation theory due to their remarkable capacity to repre…
Inverse Geometric Diffraction by a Cone
Gang Bao, Xi Chen, Shuai Lu +1
Consider the inverse problem of recovering a strictly convex conical obstacle in from the diffraction coefficients along with arrival directions (lens data) or arriv…
Inverse Scattering by Diffracted Waves
Gang Bao, Xi Chen, Shuai Lu +1
In addition to reflection and refraction, another form of wave deviation is defined as diffraction. Notably, when incident waves strike a corner, diffracted waves emanate from the…
An inverse coefficient problem for a semilinear wave equation by the first order linearization
Yuxiang He, Shuai Lu
This paper investigates recovery of an unknown coefficient in a semilinear wave equation defined on a bounded, open, and strictly convex domain in \(\mathbb{R}^{1+n}\) with \(n \ge…
Unique inversion of smooth nonlinearity in semilinear wave equations on Lorentzian manifolds
Xi Chen, Shuai Lu, Ruochong Zhang
We study the recovery of a smooth nonlinearity in semilinear wave equations on globally hyperbolic Lorentzian manifolds. Our approach combines higher-order linearization with disto…