Zobrazeno 1 - 10
of 465
pro vyhledávání: '"Kato, Keiichi"'
Autor:
Abe, Fumihito, Kato, Keiichi
We study the wave front set of the solutions of the initial value problem for nonlinear Schr\"{o}dinger equations via wave packet transform. We give an sufficient condition which assures that the solutions is in Sobolev space of order s in a given di
Externí odkaz:
http://arxiv.org/abs/2410.06776
In this paper we give an estimate for the solution to the Schr\"odinger equation with sub-quadratic potentials in modulation spaces by the norm of the initial functions in Wiener-Amalgum spaces.
Externí odkaz:
http://arxiv.org/abs/2402.16360
We study non-smoothness of the fundamental solution for the Schr\"{o}dinger equation with a spherically symmetric and super-quadratic potential in the sence that $V(x)\geq C|x|^{2+\varepsilon}$ at infinity with constants $C>0 $ and $\varepsilon>0$. M
Externí odkaz:
http://arxiv.org/abs/2310.15536
Autor:
Kato, Keiichi, Muramatsu, Ryo
In this paper, we give estimates of the solutions to Schr\"{o}dinger equation on modulation spaces with vector potential of sub-linear growth.
Externí odkaz:
http://arxiv.org/abs/2201.11896
Publikováno v:
In Reproductive BioMedicine Online January 2024 48(1)
We investigate the time propagation of singularity of a solution to linearized KdV equation by using the characterization of wave front sets with using to the wave packet transform (short time Fourier transform).
Externí odkaz:
http://arxiv.org/abs/1911.11472
In this paper, we determine the C-infinity type wave front sets of the solutions to the Schrodinger equations with time-dependent variable coefficients and potentials by using the wave packet transform. We introduce the infinite sum and estimate the
Externí odkaz:
http://arxiv.org/abs/1910.05012
Autor:
Kato, Keiichi, Ito, Shingo
In this paper, we determine the wave front sets of solutions to Schr\"odinger equations of a harmonic oscillator with sub-quadratic perturbation by using the representation of the Schr\"odinger evolution operator of a harmonic oscillator via the wave
Externí odkaz:
http://arxiv.org/abs/1908.08358
Autor:
Kato, Keiichi, Ueno, Satoshi, Berntsen, Jørgen, Kragh, Mikkel Fly, Okimura, Tadashi, Kuroda, Tomoko
Publikováno v:
In Reproductive BioMedicine Online February 2023 46(2):274-281
Autor:
Nishii, Shogo, Ezoe, Kenji, Nishihara, Seiko, Onogi, Sachie, Takeshima, Kazumi, Karakida, Shinya, Fukuda, Junichiro, Kato, Keiichi
Publikováno v:
In AJOG Global Reports February 2023 3(1)