6 papers
The -boundedness of wave operators for the fourth order Schrödinger operators on the lattice
Sisi Huang, Xiaohua Yao
This paper investigates the boundedness of wave operators associated with discrete fourth-order Schrödinger operators on the lattice $\mathbb{…
Decay estimates for discrete bi-Laplace operators with potentials on the lattice
Sisi Huang, Xiaohua Yao
It is known that the discrete Laplace operator on the lattice satisfies the following sharp time decay estimate: $$\big\|e^{itΔ}\big\|_{\ell^1\rightarrow\ell^{\inf…
The -boundedness of wave operators for higher order Schrödinger operator with zero singularities in low odd dimensions
Han Cheng, Avy Soffer, Zhao Wu +1
This paper investigates the -bounds of wave operators for higher-order Schrödinger operators on , with and real-valued decaying potent…
The -boundedness of wave operators for nonhomogeneous fourth-order Schrödinger operators in high dimensions
Zijun Wan, Xiaohua Yao
This paper investigates the -boundedness of wave operators associated with the nonhomogeneous fourth-order Schödinger operator on . Assuming…
Decay estimates for discrete bi-Schrödinger operators on the lattice
Sisi Huang, Xiaohua Yao
It is known that the discrete Laplace operator on the lattice satisfies the following sharp time decay estimate: $$\left\|e^{itΔ}\right\|_{\ell^1\rightarrow\ell^{\…
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,…