4 papers
Time-Decay Estimates for Two-Dimensional Fourth-Order Schrödinger Operators with Threshold Singularities
Zijun Wan, Xiaohua Yao
We establish time-decay estimates for the two-dimensional fourth-order Schrödinger operator with a real-valued decaying potential , covering all possible zero-energy t…
Decay estimates for the two-dimensional Beam equation with potentials
Shuangshuang Chen, Han Cheng, Zijun Wan +1
This paper establishes time decay estimates for the following two-dimensional beam (plate) equation with a decaying real-valued potential : \begin{equation*} \partial_t^2 u + (Δ…
The -boundedness of wave operators for nonhomogeneous fourth-order Schrödinger operators in high dimensions
Zijun Wan, Xiaohua Yao
This paper investigates the -boundedness of wave operators associated with the nonhomogeneous fourth-order Schödinger operator on . Assuming…
Decay estimates for beam equations with potentials on the line
Shuangshuang Chen, Zijun Wan, Xiaohua Yao
This paper is devoted to the time decay estimates for the following beam equation with a potential on the line: $$ \partial_t^2 u + \left( Δ^2 + m^2 + V(x) \right) u = 0, \ \ u(0,…