• 2530 引用
  • 29 h指数
1987 …2019
Pureに変更を加えた場合、すぐここに表示されます。

研究成果 1987 2019

  • 2530 引用
  • 29 h指数
  • 156 Article
  • 3 Conference contribution
  • 2 Editorial
  • 1 Chapter
2019

Blow-Up or Global Existence for the Fractional Ginzburg-Landau Equation in Multi-dimensional Case

Forcella, L., Fujiwara, K., Gueorguiev, V. S. & Ozawa, T., 2019 1 1, Trends in Mathematics. Springer International Publishing, p. 179-202 24 p. (Trends in Mathematics).

研究成果: Chapter

Ginzburg-Landau Equation
Global Existence
Blow-up
Fractional
Blow-up of Solutions
3 引用 (Scopus)
Electric commutators
Local Well-posedness
Initial value problems
Ginzburg-Landau
Elliptic Operator
1 引用 (Scopus)

L p -Caffarelli-Kohn-Nirenberg type inequalities on homogeneous groups

Ozawa, T., Ruzhansky, M. & Suragan, D., 2019 3 1, : : Quarterly Journal of Mathematics. 70, 1, p. 305-318 14 p.

研究成果: Article

公開
Sharp Constants
Homogeneous Groups
Nilpotent Lie Group
Euclidean
Norm

Preface

D’abbicco, M., Ebert, M. R., Gueorguiev, V. S. & Ozawa, T., 2019 1 1, : : Trends in Mathematics. p. v-vi

研究成果: Editorial

2018
5 引用 (Scopus)
Blow-up of Solutions
Ginzburg-Landau Equation
Life Span
Blow-up
Cauchy Problem

Dynamical behavior for the solutions of the Navier-Stokes equation

Li, K., Ozawa, T. & Wang, B., 2018 7 1, : : Communications on Pure and Applied Analysis. 17, 4, p. 1511-1560 50 p.

研究成果: Article

Dynamical Behavior
Blow-up
Navier Stokes equations
Navier-Stokes Equations
Mild Solution
4 引用 (Scopus)
Ginzburg-Landau Model
Global Well-posedness
Ginzburg-Landau
Superconductivity
Global Existence
3 引用 (Scopus)

On the focusing energy-critical fractional nonlinear schrödnger equations

Cho, Y., Hwang, G. & Ozawa, T., 2018 3 1, : : Advances in Differential Equations. 23, 3-4, p. 161-192 32 p.

研究成果: Article

Electric commutators
Nonlinear equations
Kinetic energy
Ground state
Nonlinear Equations
公開
Life Span
Strong Solution
Periodic Boundary Conditions
Nonlinear equations
Nonlinear Equations

Preface

Kubo, H., Ozawa, T. & Takamura, H., 2018 7 1, : : Communications on Pure and Applied Analysis. 17, 4, p. i-viii

研究成果: Editorial

Fractional
Scattering
Strichartz Estimates
Unit Sphere
Regularity
2017

A note on regularity criteria for Navier-Stokes system: Note on Navier-Stokes

Fan, J. & Ozawa, T., 2017 1 1, Mathematics for Nonlinear Phenomena—Analysis and Computation - In Honor of Yoshikazu Giga’s 60th Birthday. Springer New York LLC, 巻 215. p. 47-50 4 p.

研究成果: Conference contribution

Interpolation Inequality
Regularity Criterion
Navier-Stokes System
Besov Spaces
Navier-Stokes
2 引用 (Scopus)

Ground states for semi-relativistic Schrödinger-Poisson-Slater energy

Bellazzini, J., Ozawa, T. & Visciglia, N., 2017 1 1, : : Funkcialaj Ekvacioj. 60, 3, p. 353-369 17 p.

研究成果: Article

Ground State
Siméon Denis Poisson
Energy
Kinetic energy
Minimization Problem
6 引用 (Scopus)

Hardy type inequalities in Lp with sharp remainders

Ioku, N., Ishiwata, M. & Ozawa, T., 2017 12 1, : : Journal of Inequalities and Applications. 2017, 1, 5.

研究成果: Article

Hardy-type Inequality
Error term
Remainder
Hardy Inequality
Nonexistence
4 引用 (Scopus)

Higher Order Fractional Leibniz Rule

Fujiwara, K., Gueorguiev, V. S. & Ozawa, T., 2017 4 3, (Accepted/In press) : : Journal of Fourier Analysis and Applications. p. 1-16 16 p.

研究成果: Article

Leibniz' rule
Redistribution
Fractional Derivative
Fractional
Higher Order
2 引用 (Scopus)
Local Well-posedness
Nematic Liquid Crystal
Liquid Crystal
Model
1 引用 (Scopus)
Dissipative Operator
Product Space
Scalar, inner or dot product
Framework

Regularity criteria for navier-stokes and related system

Fan, J. & Ozawa, T., 2017 1 1, : : Differential and Integral Equations. 30, 1-2, p. 101-114 14 p.

研究成果: Article

Regularity Criterion
Navier-Stokes
Interpolation Inequality
Elastic Material
Heat Flow
4 引用 (Scopus)
Fractional
Leibniz' rule
Scattering
Weighted Spaces
Range of data
2 引用 (Scopus)

Stability of Trace Theorems on the Sphere

Bez, N., Jeavons, C., Ozawa, T. & Sugimoto, M., 2017 6 1, (Accepted/In press) : : Journal of Geometric Analysis. p. 1-21 21 p.

研究成果: Article

Trace Theorem
Optimal Constants
Strichartz Estimates
Duality Theorems
Local Stability
3 引用 (Scopus)
Uncertainty Relation
Electric commutation
Equality
Hardy Inequality
Imply
2016
2 引用 (Scopus)
Leibniz' rule
Smoothing Effect
Cubic equation
Hyperbolic Equations
Global Solution

Blow-up criterion for 3D navier-stokes equations and Landau-Lifshitz system in a bounded domain

Fan, J. & Ozawa, T., 2016, Advances in Mathematical Fluid Mechanics - Dedicated to Giovanni Paolo Galdi on the Occasion of His 60th Birthday. Springer Verlag, 巻 none. p. 175-182 8 p.

研究成果: Conference contribution

Vorticity
Navier Stokes equations
4 引用 (Scopus)

Finite time blowup for the fourth-order NLS

Cho, Y., Ozawa, T. & Wang, C., 2016, : : Bulletin of the Korean Mathematical Society. 53, 2, p. 615-640 26 p.

研究成果: Article

Finite Time Blow-up
Fourth-order Equations
Blow-up of Solutions
Fourth Order
Nonlinearity
10 引用 (Scopus)
Finite Time Blow-up
Gauge Invariance
Blow-up of Solutions
Life Span
gauge invariance
3 引用 (Scopus)
Gauge Invariance
Life Span
Strong Solution
Nonlinear Equations
Finite Time Blow-up
14 引用 (Scopus)
Klein-Gordon Equation
Global Solution
Normal Form
Nonlinearity
Asymptotic Behavior of Solutions
5 引用 (Scopus)

On small data scattering of Hartree equations with short-range interaction

Cho, Y., Hwang, G. & Ozawa, T., 2016 9 1, : : Communications on Pure and Applied Analysis. 15, 5, p. 1809-1823 15 p.

研究成果: Article

Hartree Equation
Strichartz Estimates
Scattering
Interaction
Range of data
1 引用 (Scopus)

Regularity criteria for harmonic heat flow and related system

Fan, J. & Ozawa, T., 2016 1 1, : : Mathematische Nachrichten. 289, 1, p. 28-33 6 p.

研究成果: Article

Regularity Criterion
Heat Flow
Harmonic
Surface Growth
Biharmonic
Regularity Criterion
Heat Flow
Liquid Crystal
Harmonic
Model
6 引用 (Scopus)

Remarks on the Rellich inequality

Machihara, S., Ozawa, T. & Wadade, H., 2016 11 7, (Accepted/In press) : : Mathematische Zeitschrift. p. 1-7 7 p.

研究成果: Article

Equality
Remainder
Nonexistence
Imply
Framework
3 引用 (Scopus)

Sharp lower bounds for Coulomb energy

Bellazzini, J., Ghimenti, M. & Ozawa, T., 2016, : : Mathematical Research Letters. 23, 3, p. 621-632 12 p.

研究成果: Article

Lower bound
Symmetric Functions
Energy
16 引用 (Scopus)

Sharp remainder of a critical Hardy inequality

Ioku, N., Ishiwata, M. & Ozawa, T., 2016 1 1, : : Archiv der Mathematik. 106, 1, p. 65-71 7 p.

研究成果: Article

Hardy Inequality
Remainder
2 引用 (Scopus)

Some sharp bilinear space-time estimates for the wave equation

Bez, N., Jeavons, C. & Ozawa, T., 2016, : : Mathematika. 62, 3, p. 719-737 19 p.

研究成果: Article

Wave equation
Space-time
Propagator
Estimate
Range of data
3 引用 (Scopus)
Leibniz' rule
Smoothing Effect
Analytic Solution
Nonlinear equations
Global Existence
Bilinear Estimates
Integral Operator
Sobolev Spaces
Boundedness
Convolution
13 引用 (Scopus)

Well-posedness for a generalized derivative nonlinear Schrödinger equation

Hayashi, M. & Ozawa, T., 2016 11 15, : : Journal of Differential Equations. 261, 10, p. 5424-5445 22 p.

研究成果: Article

Generalized Derivatives
Sobolev spaces
Local Well-posedness
Nonlinear equations
Well-posedness
2015
3 引用 (Scopus)
Smoothing Effect
Wave Interaction
wave interaction
smoothing
System of equations
7 引用 (Scopus)

Analytic smoothing effect for a system of schrödinger equations with two wave interaction

Hoshino, G., Ozawa, T. & Ponce, G., 2015 7 1, : : Advances in Differential Equations. 20, 7-8, p. 697-716 20 p.

研究成果: Article

Smoothing Effect
Wave Interaction
Exponential Decay
System of equations
Quintic

A regularity criterion for the Schrödinger map

Fan, J. & Ozawa, T., 2015, Trends in Mathematics. Springer International Publishing, 巻 2. p. 217-223 7 p. (Trends in Mathematics; 巻数 2).

研究成果: Conference contribution

Bounded Mean Oscillation
Regularity Criterion
5 引用 (Scopus)
Extinction Time
Nonlinear equations
Damping
Nonlinear Equations
Finite Time Blow-up
3 引用 (Scopus)

On a system of semirelativistic equations in the energy space

Fujiwara, K., Machihara, S. & Ozawa, T., 2015 7 1, : : Communications on Pure and Applied Analysis. 14, 4, p. 1343-1355 13 p.

研究成果: Article

System of equations
Energy
Well-posedness
Cauchy Problem
Approximate Solution
3 引用 (Scopus)
Qualitative Properties
Damped
Dissipation
Lp Estimates
Coefficient
1 引用 (Scopus)
Regularity Criterion
Slip
4 引用 (Scopus)
Global Solution
Cauchy Problem
Nonlinearity
Test function
Nonexistence
7 引用 (Scopus)
Hardy Inequality
Logarithmic
Scaling
Singularity
Invariant
1 引用 (Scopus)
Ginzburg-Landau Model
Superconductivity
Gages
Weak Solution
Gauge
2 引用 (Scopus)

Well-Posedness for the Cauchy Problem for a System of Semirelativistic Equations

Fujiwara, K., Machihara, S. & Ozawa, T., 2015 8 1, : : Communications in Mathematical Physics. 338, 1, p. 367-391 25 p.

研究成果: Article

Cauchy problem
Well-posedness
System of equations
Cauchy Problem
Sobolev space
2014
1 引用 (Scopus)
MHD Equations
Variable Viscosity
Blow-up Criterion
Regularity Criterion
Magnetohydrodynamic Equations
12 引用 (Scopus)
Smoothing Effect
Analytic Solution
Global Existence
Cauchy
Cauchy Problem