3 papers
math.CA2026
A New Proof About Certain Oscillatory Singular Integrals with Nonstandard Kernel
Shen Jiawei
In the paper, we provide a new method to study the oscillatory singular integral operator with nonstandard kernel defined by \[T_{Q,A} f(x)=\text { p.v. } \int_{\mathbb{R…
math.CA2026
boundness of Oscillatory singular integral with Calderón Type Commutators
Jiawei Shen, Yang Jie
In the paper, we study a kind of Oscillatory singular integral operator with Calderón Type Commutators defined by \[T_{P,K,A} f(x)=\text { p.v.} \int_{\mathbb{R}^{n}}…
math.AP2025
Dispersive decay for the Inter-critical nonlinear Schrödinger equation in
Boyu Jiang, Jiawei Shen, Kexue Li
This paper investigates the Cauchy problem for the nonlinear Schrödinger equation (NLS) in the mass-supercritical and energy-subcritical regime within three spatial dimensions. Fo…