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math.AP2024
Global Kato smoothing and Strichartz estimates for higher-order Schrödinger operators with rough decay potentials
Haruya Mizutani, Xiaohua Yao
Let \( H = (-Î)^m + V \) be a higher-order elliptic operator on \( L^2(\mathbb{R}^n) \), where \( V \) is a general bounded decaying potential. This paper focuses on the global Ka…
math.AP2024
Decay estimates for Beam equations with potentials in dimension three
Miao Chen, Ping Li, Avy Soffer +1
This paper is devoted to studying time decay estimates of the solution for Beam equation (higher order type wave equation) with a potential $$u_{t t}+\big(Î^2+V\big)u=0, \,\ u(0,…
math.AP2024
-boundedness of wave operators for bi-Schrödinger operators on the line
Haruya Mizutani, Zijun Wan, Xiaohua Yao
This paper is devoted to establishing several types of -boundedness of wave operators associated with the bi-Schrödinger operators on t…