This paper is dedicated to investigating the Lp-bounds of wave operators W. H; 2/associated
with fourth-order Schrödinger operators HD 2 CV on R3 with real potentials satisfying jV. x/j …

We consider the higher order Schr\" odinger operator $ H=(-\Delta)^ m+ V (x) $ in $ n $
dimensions with real-valued potential $ V $ when $ n> 4m $, $ m\in\mathbb N $. We adapt …

In this paper we prove the orthonormal Strichartz estimates for the higher order and
fractional Schrödinger, wave, Klein-Gordon and Dirac equations with potentials. As in the …

This paper is devoted to establishing several types of L p-boundedness of wave operators
W±= W±(H, Δ 2) associated with the bi-Schrödinger operators H= Δ 2+ V (x) on the line R …

This paper is devoted to studying time decay estimates of the solution for Beam equation
(higher order type wave equation) with a potential ut t+(Δ 2+ V) u= 0, u (0, x)= f (x), ut (0, x) …

In this paper, for any odd $ n $ and any integer $ m\geq1 $ with $ n> 4m $, we study the
fundamental solution of the higher order Schr\"{o} dinger equation\begin {equation*}\mathrm …

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 (\Delta^ 2+ m^ 2+ V (x)\right) u= 0,\\u (0, x)= f …

Let $ H=\Delta^ 2+ V $ be the fourth-order Schr\" odinger operator on $\mathbb {R}^ 3$ with
a real-valued fast-decaying potential $ V $. If zero is neither a resonance nor an eigenvalue …

In this paper, for any odd n and any integer m≥ 1 with n< 4m, we study the fundamental
solution of the higher order Schrödinger equation i∂ tu (x, t)=((−∆) m+ V (x)) u (x, t), t∈ R …

本文研究带位势的四阶非齐次薛定谔算子H= Δ 2− Δ+ V 生成的薛定谔群e− it H 在R 5 中的Kato-
Jensen 估计, 即在加权-L 2 空间中建立e− it H 关于时间的衰减估计. 通过建立相应的谱测度 …