5 papers
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 + (Î…
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( Î^2 + m^2 + V(x) \right) u = 0, \ \ u(0,…
-boundedness of wave operators for fourth order Schrödinger operators with zero resonances on
Haruya Mizutani, Zijun Wan, Xiaohua Yao
Let be the fourth-order Schrödinger operator on with a real-valued fast-decaying potential . If zero is neither a resonance nor an eigenvalue of $…
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 . Assumi…
Counterexamples and weak (1,1) estimates of wave operators for fourth-order Schrödinger operators in dimension three
Haruya Mizutani, Zijun Wan, Xiaohua Yao
This paper is dedicated to investigating the -bounds of wave operators associated with fourth-order Schrödinger operators on . We con…