In this paper, we investigate the $ W^{s, p} $-boundedness for stationary wave operators of
the Schrödinger operator with inverse-square potential\begin {equation*}\mathcal L_a …

This paper deals with global dispersive properties of Schrödinger equations with real-valued
potentials exhibiting critical singularities, where our class of potentials is more general than …

For Schrödinger equations with a class of slowly decaying repulsive potentials, we show that
the solution satisfies global-in-time Strichartz estimates for any admissible pairs. Our …

We study the 2D-wave equation with a scaling-critical electromagnetic potential. This
problem is doubly critical, because of the scaling invariance of the model and the …

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 …

Semilinear Schrödinger equations with a critical scale of the singular electromagnetic field -
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Abstract Let 0< σ< n/2 0< σ< n/2 and H=(-Δ)^ σ+ V (x) H=(-Δ) σ+ V (x) be Schrödinger type
operators on R^ n R n with a class of scaling-critical potentials V (x), which include the Hardy …

We develop an abstract perturbation theory for the orthonormal Strichartz estimates, which
were first studied by Frank-Lewin-Lieb-Seiringer. The method used in the proof is based on …

SCATTERING THEORY FOR SEMILINEAR SCHRODINGER EQUATIONS WITH AN
INVERSE-SQUARE POTENTIAL VIA ENERGY METHODS Toshiyuki Suzuki (C Page 1 …

We consider the uniform resolvent and orthonormal Strichartz estimates for the Schr\"
odinger operator. First we prove the Keel-Tao type theorem for the orthonormal Strichartz …