1 citations · 1 across the 3 of their papers we have counts for
5 papers
Stability of certain elements in the Bernstein center
Sarbartha Bhattacharya, Shenghao Li
Let be a split connected reductive algebraic group over a non-archimedean local field of characteristic zero. The stable center conjecture asserts that the subspace of stab…
Lower regularity well-posedness for a higher-order Schrödinger equation with cubic nonlinearities on the half-line
Yuhao Xi, Shenghao Li
In this paper, we continue the study of Himonas and Yan\cite{himonas2024schrodinger,himonas2026higher,himonas2024higher} on the nonlinear Schrödinger equation with a dispersion of…
Bump-Friedberg type periods beyond the cuspidal spectrum
Shenghao Li
In this article, we study several Bump--Friedberg type periods beyond the cuspidal spectrum. We first consider the twisted Bump--Friedberg period on , as well…
Base change fundamental lemma for Bernstein centers of principal series blocks
Shenghao Li
Let be an unramified group over a -adic field . This article introduces a base change homomorphism for the Bernstein center of a principal series block, and proves that t…
Local well-posedness for a generalized sixth-order Boussinesq equation
Long Zhong, Shenghao Li
A formally second order correct Boussinesq-type equation that describes unidirectional shallow water waves is derived, $$u_{tt} - u_{xx} - u_{xxxx} - u_{xxxxxx} - (u^2)_{xx} - (u^2…