4 papers
Strichartz estimates for quasi-periodic functions on long time intervals: An arithmetic approach
Kotaro Inami
We study long-time Strichartz estimates for the one-dimensional Schrödinger equation with quasi-periodic initial data. For two-frequency data with an algebraic frequency ratio, we…
Reverse square function estimates for degenerate curves and their applications
Aleksandar Bulj, Kotaro Inami, Shobu Shiraki
Building on the classical work of Córdoba--Fefferman and the recent work of Schippa, we establish reverse square function estimates for functions whose Fourier support is con…
Local smoothing estimates for Schrödinger equations in modulation spaces
Kotaro Inami
Motivated by a recent work of Schippa (2022), we consider local smoothing estimates for Schrödinger equations in modulation spaces. By using the Córdoba-Fefferman type reverse squa…
Equivalence between the energy decay of fractional damped Klein-Gordon equations and geometric conditions for damping coefficients
Kotaro Inami, Soichiro Suzuki
We consider damped -fractional Klein--Gordon equations on , where denotes the order of the fractional Laplacian. In the one-dimensional case , Green (20…