• 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
フィルター
Article
2019
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
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
Fractional
Scattering
Strichartz Estimates
Unit Sphere
Regularity
2017
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
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
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
17 引用 (Scopus)
Smoothing Effect
Sobolev spaces
Quintic
Nonlinear equations
Nonlinear Equations
7 引用 (Scopus)
Global Well-posedness
Wave equations
Quartic
Wave equation
Nonlinear Evolution Equations
3 引用 (Scopus)

A sharp bilinear estimate for the Klein-Gordon equation in ℝ1+1

Ozawa, T. & Rogers, K. M., 2014 11, : : International Mathematics Research Notices. 2014, 5, p. 1367-1378 12 p.

研究成果: Article

Trigonometric identity
Bilinear Estimates
Hyperbola
Klein-Gordon Equation
Pullback
1 引用 (Scopus)
Geometric mean
Odd number
Sum of squares
Linear Combination
Express
Hardy Inequality
Lorentz Spaces
Sobolev Spaces
Logarithmic
Generalization
25 引用 (Scopus)

On the orbital stability of fractional Schrödinger equations

Cho, Y., Hajaiej, H., Hwang, G. & Ozawa, T., 2014 5, : : Communications on Pure and Applied Analysis. 13, 3, p. 1267-1282 16 p.

研究成果: Article

Schrodinger equation
Orbital Stability
Schrodinger Equation
Standing Wave
Ground state