研究

Correction to the article “Global well-posedness and scattering in weighted space for nonlinear Schrödinger equations below the Strauss exponent without gauge-invariance”

Masaki Kawamoto Satoshi Masaki Hayato Miyazaki

Mathematische Annalen, 巻 396, 号 1, Article 20

Threshold for the existence of scattering states for nonlinear Schrödinger equations without gauge invariance

Hayato Miyazaki Motohiro Sobajima

Proceedings of the American Mathematical Society, 巻 153, 号 11, pp. 4875–4887

Refinement of the L²-decay estimate of solutions to nonlinear Schrödinger equations with attractive-dissipative nonlinearity

Naoyasu Kita Hayato Miyazaki Takuya Sato

Journal of Evolution Equations, 巻 25, Article 66

Global well-posedness and scattering in weighted space for nonlinear Schrödinger equations below the Strauss exponent without gauge-invariance

Masaki Kawamoto Satoshi Masaki Hayato Miyazaki

Mathematische Annalen, 巻 392, 号 1, pp. 1051–1097

Modified scattering operator for nonlinear Schrödinger equations with time-decaying harmonic potentials

Masaki Kawamoto Hayato Miyazaki

Nonlinear Analysis, 巻 256, 113778

Refined L²-decay estimate of solutions to a system of dissipative nonlinear Schrödinger equations

Naoyasu Kita Hayato Miyazaki Yuji Sagawa Takuya Sato

Journal of Applied Science and Engineering A, 巻 5, 号 1, pp. 18–30

Global behavior of solutions to generalized Gross-Pitaevskii equation

Satoshi Masaki Hayato Miyazaki

Differential Equations and Dynamical Systems, 巻 32, pp. 743–761

Long-range scattering for a critical homogeneous type nonlinear Schrödinger equation with time-decaying harmonic potentials

Masaki Kawamoto Hayato Miyazaki

Journal of Differential Equations, 巻 365, pp. 127–167

Asymptotic behavior for the long-range nonlinear Schrödinger equation on the star graph with the Kirchhoff boundary condition

Kazuki Aoki Takahisa Inui Hayato Miyazaki Haruya Mizutani Kota Uriya

Pure and Applied Analysis, 巻 4, 号 2, pp. 287–311

Strong blow-up instability for standing wave solutions to the system of the quadratic nonlinear Klein-Gordon equations

Hayato Miyazaki

Discrete and Continuous Dynamical Systems, 巻 41, 号 5, pp. 2411–2445

Lower bound for the lifespan of solutions to the generalized KdV equation with low-degree of nonlinearity

Hayato Miyazaki

Advanced Studies in Pure Mathematics, 巻 85, pp. 303–313

Lifespan of solutions to nonlinear Schrödinger equations with general homogeneous nonlinearity of the critical order

Hayato Miyazaki Motohiro Sobajima

Advances in Harmonic Analysis and Partial Differential Equations, pp. 197–207

On a class of solutions to the generalized KdV type equation

Felipe Linares Hayato Miyazaki Gustavo Ponce

Communications in Contemporary Mathematics, 巻 21, 号 7, 1850056

Long-range scattering for nonlinear Schrödinger equations with critical homogeneous nonlinearity in three space dimensions

Satoshi Masaki Hayato Miyazaki Kota Uriya

Transactions of the American Mathematical Society, 巻 371, 号 11, pp. 7925–7947

Local well-posedness for the higher-order generalized KdV type equation with low-degree of nonlinearity

Hayato Miyazaki

to appear in RIMS Kôkyûroku Bessatsu

Nonexistence of scattering and modified scattering states for some nonlinear Schrödinger equation with critical homogeneous nonlinearity

Satoshi Masaki Hayato Miyazaki

Differential and Integral Equations, 巻 32, 号 3-4, pp. 121–138

Long range scattering for nonlinear Schrödinger equations with critical homogeneous nonlinearity

Satoshi Masaki Hayato Miyazaki

SIAM Journal on Mathematical Analysis, 巻 50, 号 3, pp. 3251–3270

The derivation of conservation laws for nonlinear Schrödinger equations with power type nonlinearities

Kazumasa Fujiwara Hayato Miyazaki

RIMS Kôkyûroku Bessatsu, 巻 B63, pp. 13–21

The derivation of the conservation law for defocusing nonlinear Schrödinger equations with non-vanishing initial data at infinity

Hayato Miyazaki

Journal of Mathematical Analysis and Applications, 巻 417, 号 2, pp. 580–600

Kirchhoff境界条件を持つ星グラフ上のSchrödinger作用素について

宮崎隼人

RIMS Kôkyûroku, 巻 2324, pp. 37–53

Improvement of a regularity condition for long-range scattering for NLS with critical homogeneous nonlinearity

Hayato Miyazaki

RIMS Kôkyûroku, 巻 2257, pp. 79–88

パスカル三角形から始まる数学

宮崎隼人

「数学研究」香川県高等学校教育研究会数学部会誌, 巻 66, pp. 1–8

空間遠方で消滅しない境界条件をもつ非線型シュレディンガー方程式のエネルギー解について

宮崎隼人

第36回発展方程式若手セミナー報告集, pp. 175–182

空間遠方で消滅しない初期値をもつ非線形Schrödinger方程式における保存則について

宮崎隼人

第35回発展方程式若手セミナー報告集, pp. 79–84