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20112026
most citedKato smoothing, Strichartz and uniform Sobolev estimates for fractional operators with sharp Hardy potentials

14 citations · 107 across the 28 of their papers we have counts for

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math-ph2023

Limiting absorption principle and absence of eigenvalues for massless Klein-Gordon operators on perturbations of the Minkowski spacetime

Haruya Mizutani

We prove a uniform weighted resolvent estimate for the massless Klein-Gordon operator on a curved spacetime which is sufficiently close to the Minkowski spacetime. This particularl…

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 -bounds of wave operators associated with fourth-order Schrödinger operators on . We consid…

math.AP2023

Modified scattering for nonlinear Schrödinger equations with long-range potentials

Masaki Kawamoto, Haruya Mizutani

We study the final state problem for the nonlinear Schrödinger equation with a critical long-range nonlinearity and a long-range linear potential. Given a prescribed asymptotic pro…