Xiaohua Yao

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20212026

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math.AP2023

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 $L^{p}$ -bounds of wave operators $W_{\pm} (H, Δ^{2})$ associated with fourth-order Schrödinger operators $H = Δ^{2} + V$ on $R^{3}$ . We consid…

math.AP2023

$L^{p}$ -boundedness of wave operators for fourth order Schrödinger operators with zero resonances on $R^{3}$

Haruya Mizutani, Zijun Wan, Xiaohua Yao

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

Counterexamples and weak (1,1) estimates of wave operators for fourth-order Schrödinger operators in dimension three

Lp-boundedness of wave operators for fourth order Schrödinger operators with zero resonances on R3

$L^{p}$ -boundedness of wave operators for fourth order Schrödinger operators with zero resonances on $R^{3}$