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Global well-posedness for the Sobolev critical nonlinear Schrödinger system in four space dimensions

Journal of mathematical analysis and applications, 2023-08, Vol.524 (1), p.127052, Article 127052

2023

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Maximal regularity of the heat evolution equation on spatial local spaces and application to a singular limit problem of the Keller–Segel system

Mathematische annalen, 2023-10, Vol.387 (1-2), p.389-431

2023

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Local well-posedness and finite time blow-up of solutions to an attraction–repulsion chemotaxis system in higher dimensions

Journal of mathematical analysis and applications, 2022-06, Vol.510 (1), p.126009, Article 126009

2022

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Free boundary problems of the incompressible Navier–Stokes equations with non-flat initial surface in the critical Besov space

Mathematische annalen, 2024, Vol.390 (2), p.3155-3219

2024

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Singular limit problem for the two-dimensional Keller-Segel system in scaling critical space

Journal of Differential Equations, 2020-11, Vol.269 (10), p.8959-8997

2020

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Global well-posedness for the incompressible Navier–Stokes equations in the critical Besov space under the Lagrangian coordinates

Journal of Differential Equations, 2021-02, Vol.274, p.613-651

2021

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Asymptotic behavior of a solution to the drift-diffusion equation for a fast-diffusion case

Journal of Differential Equations, 2022-01, Vol.307, p.114-136

2022

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Critical structure and critical regularity for nonlinear evolutional partial differential equations

SUGAKU, 2020/04/23, Vol.72(2), pp.113-138

Ogawa, Takayoshi

2020

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Maximal $L^{1}$-regularity and free boundary problems for the incompressible Navier–Stokes equations in critical spaces

Journal of the Mathematical Society of Japan, 2024-04, Vol.76 (2)

2024

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Global well-posedness and time-decay of solutions for the compressible Hall-magnetohydrodynamic system in the critical Besov framework

Journal of Differential Equations, 2022-08, Vol.328, p.1-64

2022

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Finite time blow up and concentration phenomena for a solution to drift-diffusion equations in higher dimensions

Calculus of variations and partial differential equations, 2023-03, Vol.62 (2), Article 47

2023

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Singular limit for the magnetohydrodynamics of the damped wave type in the critical Fourier–Sobolev space

Journal of Differential Equations, 2021-01, Vol.271, p.414-446

2021

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Ill-posedness for the compressible Navier–Stokes equations under barotropic condition in limiting Besov spaces

Journal of the Mathematical Society of Japan, 2022, Vol.74 (2)

2022

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Singular limit problem for the Keller–Segel system and drift–diffusion system in scaling critical spaces

Journal of evolution equations, 2020, Vol.20 (2), p.421-457

2020

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The initial-boundary value problem for the Schrödinger equation with the nonlinear Neumann boundary condition on the half-plane

Nonlinear differential equations and applications, 2024-07, Vol.31 (4), Article 59

2024

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Maximal L1-regularity for parabolic initial-boundary value problems with inhomogeneous data

Journal of evolution equations, 2022, Vol.22 (2)

2022

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Beckner type of the logarithmic Sobolev and a new type of Shannon's inequalities and an application to the uncertainty principle

Proceedings of the American Mathematical Society, 2019-04, Vol.147 (4), p.1511-1518

2019

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Finite-time blow-up for solutions to a degenerate drift-diffusion equation for a fast-diffusion case

Nonlinearity, 2019-06, Vol.32 (6), p.2073-2093

2019

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Correction to: The initial-boundary value problem for the Schrödinger equation with the nonlinear Neumann boundary condition on the half-plane

Nonlinear differential equations and applications, 2024, Vol.31 (5), Article 84

2024

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Singular limit problem for the Keller–Segel system and drift–diffusion system in scaling critical spaces

Journal of evolution equations, 2020-06, Vol.20 (2), p.421-457

2020

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Maximal $$L^1$$-regularity of the heat equation and application to a free boundary problem of the Navier-Stokes equations near the half-space

Journal of elliptic and parabolic equations, 2021-12, Vol.7 (2), p.509-535

2021

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Ill-posedness for the Cauchy problem of the two-dimensional compressible Navier-Stokes equations for an ideal gas

Journal of elliptic and parabolic equations, 2021-12, Vol.7 (2), p.571-587

2021

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Maximal regularity and a singular limit problem for the Patlak–Keller–Segel system in the scaling critical space involving BMO

SN partial differential equations and applications, 2022-02, Vol.3 (1), Article 3

2022

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L2-decay rate for the critical nonlinear Schrödinger equation with a small smooth data

Nonlinear differential equations and applications, 2020, Vol.27 (2)

2020

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Logarithmic Sobolev and Shannon's inequalities and an application to the uncertainty principle

Communications on pure and applied analysis, 2018-07, Vol.17 (4), p.1651-1669

2018

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Global well-posedness for the Sobolev critical nonlinear Schrödinger system in four space dimensions

Maximal regularity of the heat evolution equation on spatial local spaces and application to a singular limit problem of the Keller–Segel system

Local well-posedness and finite time blow-up of solutions to an attraction–repulsion chemotaxis system in higher dimensions

Free boundary problems of the incompressible Navier–Stokes equations with non-flat initial surface in the critical Besov space

Singular limit problem for the two-dimensional Keller-Segel system in scaling critical space

Global well-posedness for the incompressible Navier–Stokes equations in the critical Besov space under the Lagrangian coordinates

Asymptotic behavior of a solution to the drift-diffusion equation for a fast-diffusion case

Critical structure and critical regularity for nonlinear evolutional partial differential equations

Maximal $L^{1}$-regularity and free boundary problems for the incompressible Navier–Stokes equations in critical spaces

Global well-posedness and time-decay of solutions for the compressible Hall-magnetohydrodynamic system in the critical Besov framework

Finite time blow up and concentration phenomena for a solution to drift-diffusion equations in higher dimensions

Singular limit for the magnetohydrodynamics of the damped wave type in the critical Fourier–Sobolev space

Ill-posedness for the compressible Navier–Stokes equations under barotropic condition in limiting Besov spaces

Singular limit problem for the Keller–Segel system and drift–diffusion system in scaling critical spaces

The initial-boundary value problem for the Schrödinger equation with the nonlinear Neumann boundary condition on the half-plane

Maximal L1-regularity for parabolic initial-boundary value problems with inhomogeneous data

Beckner type of the logarithmic Sobolev and a new type of Shannon's inequalities and an application to the uncertainty principle

Finite-time blow-up for solutions to a degenerate drift-diffusion equation for a fast-diffusion case

Correction to: The initial-boundary value problem for the Schrödinger equation with the nonlinear Neumann boundary condition on the half-plane

Singular limit problem for the Keller–Segel system and drift–diffusion system in scaling critical spaces

Maximal $$L^1$$-regularity of the heat equation and application to a free boundary problem of the Navier-Stokes equations near the half-space

Ill-posedness for the Cauchy problem of the two-dimensional compressible Navier-Stokes equations for an ideal gas

Maximal regularity and a singular limit problem for the Patlak–Keller–Segel system in the scaling critical space involving BMO

L2-decay rate for the critical nonlinear Schrödinger equation with a small smooth data

Logarithmic Sobolev and Shannon's inequalities and an application to the uncertainty principle

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