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Research Output 1987 2019

  • 2475 Citations
  • 29 h-Index
  • 156 Article
  • 3 Conference contribution
  • 2 Editorial
  • 1 Chapter
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Article
2019
2 Citations (Scopus)
Electric commutators
Local Well-posedness
Initial value problems
Ginzburg-Landau
Elliptic Operator

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

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

Research output: Contribution to journalArticle

Open Access
Sharp Constants
Homogeneous Groups
Nilpotent Lie Group
Euclidean
Norm
2018
4 Citations (Scopus)

Blow-up for self-interacting fractional Ginzburg-Landau equation

Fujiwara, K., Gueorguiev, V. S. & Ozawa, T., 2018 Jan 1, In : Dynamics of Partial Differential Equations. 15, 3, p. 175-182 8 p.

Research output: Contribution to journalArticle

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 Jul 1, In : Communications on Pure and Applied Analysis. 17, 4, p. 1511-1560 50 p.

Research output: Contribution to journalArticle

Dynamical Behavior
Blow-up
Navier Stokes equations
Navier-Stokes Equations
Mild Solution
1 Citation (Scopus)

Global well-posedness of weak solutions to the time-dependent ginzburg-landau model for superconductivity

Fan, J. & Ozawa, T., 2018 Aug 1, In : Taiwanese Journal of Mathematics. 22, 4, p. 851-858 8 p.

Research output: Contribution to journalArticle

Ginzburg-Landau Model
Global Well-posedness
Ginzburg-Landau
Superconductivity
Global Existence
3 Citations (Scopus)

On the focusing energy-critical fractional nonlinear schrödnger equations

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

Research output: Contribution to journalArticle

Electric commutators
Nonlinear equations
Kinetic energy
Ground state
Nonlinear Equations

On the lifespan of strong solutions to the periodic derivative nonlinear schrÖdinger equation

Fujiwara, K. & Ozawa, T., 2018 Jun 1, In : Evolution Equations and Control Theory. 7, 2, p. 275-280 6 p.

Research output: Contribution to journalArticle

Open Access
Life Span
Strong Solution
Periodic Boundary Conditions
Nonlinear equations
Nonlinear Equations

Small data scattering of hartree type fractional schrödinger equations in dimension 2 and 3

Cho, Y. & Ozawa, T., 2018 Jan 1, In : Journal of the Korean Mathematical Society. 55, 2, p. 373-390 18 p.

Research output: Contribution to journalArticle

Fractional
Scattering
Strichartz Estimates
Unit Sphere
Regularity
2017
2 Citations (Scopus)

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

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

Research output: Contribution to journalArticle

Ground State
Siméon Denis Poisson
Energy
Kinetic energy
Minimization Problem
5 Citations (Scopus)

Hardy type inequalities in Lp with sharp remainders

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

Research output: Contribution to journalArticle

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

Higher Order Fractional Leibniz Rule

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

Research output: Contribution to journalArticle

Leibniz' rule
Redistribution
Fractional Derivative
Fractional
Higher Order
2 Citations (Scopus)
Local Well-posedness
Nematic Liquid Crystal
Liquid Crystal
Model
1 Citation (Scopus)

On Landau-Kolmogorov inequalities for dissipative operators

Hayashi, M. & Ozawa, T., 2017, In : Proceedings of the American Mathematical Society. 145, 2, p. 847-852 6 p.

Research output: Contribution to journalArticle

Dissipative Operator
Product Space
Scalar, inner or dot product
Framework

Regularity criteria for navier-stokes and related system

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

Research output: Contribution to journalArticle

Regularity Criterion
Navier-Stokes
Interpolation Inequality
Elastic Material
Heat Flow
4 Citations (Scopus)

Short-range scattering of Hartree type fractional NLS II

Cho, Y. & Ozawa, T., 2017 Jul 1, In : Nonlinear Analysis, Theory, Methods and Applications. 157, p. 62-75 14 p.

Research output: Contribution to journalArticle

Fractional
Leibniz' rule
Scattering
Weighted Spaces
Range of data
2 Citations (Scopus)

Stability of Trace Theorems on the Sphere

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

Research output: Contribution to journalArticle

Trace Theorem
Optimal Constants
Strichartz Estimates
Duality Theorems
Local Stability
3 Citations (Scopus)

Uncertainty relations in the framework of equalities

Ozawa, T. & Yuasa, K., 2017 Jan 1, In : Journal of Mathematical Analysis and Applications. 445, 1, p. 998-1012 15 p.

Research output: Contribution to journalArticle

Uncertainty Relation
Electric commutation
Equality
Hardy Inequality
Imply
2016
2 Citations (Scopus)
Leibniz' rule
Smoothing Effect
Cubic equation
Hyperbolic Equations
Global Solution
4 Citations (Scopus)

Finite time blowup for the fourth-order NLS

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

Research output: Contribution to journalArticle

Finite Time Blow-up
Fourth-order Equations
Blow-up of Solutions
Fourth Order
Nonlinearity
8 Citations (Scopus)

Finite time blowup of solutions to the nonlinear Schrödinger equation without gauge invariance

Fujiwara, K. & Ozawa, T., 2016 Aug 1, In : Journal of Mathematical Physics. 57, 8, 082103.

Research output: Contribution to journalArticle

Finite Time Blow-up
Gauge Invariance
Blow-up of Solutions
Life Span
gauge invariance
3 Citations (Scopus)

Lifespan of strong solutions to the periodic nonlinear Schrödinger equation without gauge invariance

Fujiwara, K. & Ozawa, T., 2016 Sep 9, (Accepted/In press) In : Journal of Evolution Equations. p. 1-8 8 p.

Research output: Contribution to journalArticle

Gauge Invariance
Life Span
Strong Solution
Nonlinear Equations
Finite Time Blow-up
14 Citations (Scopus)

Normal form and global solutions for the Klein-Gordon-Zakharov equations

Ozawa, T., Tsutaya, K. & Tsutsumi, Y., 2016 Jul 1, In : Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire. 12, 4, p. 459-503 45 p.

Research output: Contribution to journalArticle

Klein-Gordon Equation
Global Solution
Normal Form
Nonlinearity
Asymptotic Behavior of Solutions
5 Citations (Scopus)

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

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

Research output: Contribution to journalArticle

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

Regularity criteria for harmonic heat flow and related system

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

Research output: Contribution to journalArticle

Regularity Criterion
Heat Flow
Harmonic
Surface Growth
Biharmonic

Remarks on regularity criteria for harmonic heat flow and related system

Fan, J. & Ozawa, T., 2016, In : International Journal of Mathematical Analysis. 10, 13-16, p. 749-755 7 p.

Research output: Contribution to journalArticle

Regularity Criterion
Heat Flow
Liquid Crystal
Harmonic
Model
5 Citations (Scopus)

Remarks on the Rellich inequality

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

Research output: Contribution to journalArticle

Equality
Remainder
Nonexistence
Imply
Framework
3 Citations (Scopus)

Sharp lower bounds for Coulomb energy

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

Research output: Contribution to journalArticle

Lower bound
Symmetric Functions
Energy
15 Citations (Scopus)

Sharp remainder of a critical Hardy inequality

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

Research output: Contribution to journalArticle

Hardy Inequality
Remainder
2 Citations (Scopus)

Some sharp bilinear space-time estimates for the wave equation

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

Research output: Contribution to journalArticle

Wave equation
Space-time
Propagator
Estimate
Range of data
3 Citations (Scopus)

Space-time analytic smoothing effect for the pseudo-conformally invariant Schrödinger equations

Hoshino, G. & Ozawa, T., 2016 Feb 1, In : Nonlinear Differential Equations and Applications. 23, 1, p. 1-10 10 p., 3.

Research output: Contribution to journalArticle

Leibniz' rule
Smoothing Effect
Analytic Solution
Nonlinear equations
Global Existence
Bilinear Estimates
Integral Operator
Sobolev Spaces
Boundedness
Convolution
12 Citations (Scopus)

Well-posedness for a generalized derivative nonlinear Schrödinger equation

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

Research output: Contribution to journalArticle

Generalized Derivatives
Sobolev spaces
Local Well-posedness
Nonlinear equations
Well-posedness
2015
3 Citations (Scopus)

Analytic smoothing effect for a system of Schrödinger equations with three wave interaction

Hoshino, G. & Ozawa, T., 2015, In : Journal of Mathematical Physics. 56, 9, 091513.

Research output: Contribution to journalArticle

Smoothing Effect
Wave Interaction
wave interaction
smoothing
System of equations
6 Citations (Scopus)

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

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

Research output: Contribution to journalArticle

Smoothing Effect
Wave Interaction
Exponential Decay
System of equations
Quintic
5 Citations (Scopus)

Finite Time Extinction for Nonlinear Schrödinger Equation in 1D and 2D

Carles, R. & Ozawa, T., 2015 Jan 1, In : Communications in Partial Differential Equations. 40, 5, p. 897-917 21 p.

Research output: Contribution to journalArticle

Extinction Time
Nonlinear equations
Damping
Nonlinear Equations
Finite Time Blow-up
3 Citations (Scopus)

On a system of semirelativistic equations in the energy space

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

Research output: Contribution to journalArticle

System of equations
Energy
Well-posedness
Cauchy Problem
Approximate Solution
3 Citations (Scopus)

Qualitative properties of solutions to structurally damped σevolution models with time increasing coefficient in the dissipation

Mezadek, M. K., Reissig, M. & Ozawa, T., 2015 May 1, In : Advances in Differential Equations. 20, 5-6, p. 433-462 30 p.

Research output: Contribution to journalArticle

Qualitative Properties
Damped
Dissipation
Lp Estimates
Coefficient
1 Citation (Scopus)

Regularity criteria for the incompressible MHD with the hall or ion-slip effects

Fan, J. & Ozawa, T., 2015, In : International Journal of Mathematical Analysis. 9, 21-24, p. 1173-1186 14 p.

Research output: Contribution to journalArticle

Regularity Criterion
Slip
4 Citations (Scopus)
Global Solution
Cauchy Problem
Nonlinearity
Test function
Nonexistence
7 Citations (Scopus)

Scaling invariant Hardy inequalities of multiple logarithmic type on the whole space

Machihara, S., Ozawa, T. & Wadade, H., 2015 Dec 25, In : Journal of Inequalities and Applications. 2015, 1, 281.

Research output: Contribution to journalArticle

Hardy Inequality
Logarithmic
Scaling
Singularity
Invariant
1 Citation (Scopus)

Weak solutions to the Ginzburg-Landau model in superconductivity with the temporal gauge

Fan, J. & Ozawa, T., 2015 Sep 9, (Accepted/In press) In : Applicable Analysis.

Research output: Contribution to journalArticle

Ginzburg-Landau Model
Superconductivity
Gages
Weak Solution
Gauge
2 Citations (Scopus)

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

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

Research output: Contribution to journalArticle

Cauchy problem
Well-posedness
System of equations
Cauchy Problem
Sobolev space
2014
1 Citation (Scopus)

A blow-up criterion for the 3d full magnetohydrodynamic equations

Fan, J. & Ozawa, T., 2014, In : International Journal of Mathematical Analysis. 8, 1-4, p. 101-108 8 p.

Research output: Contribution to journalArticle

MHD Equations
Variable Viscosity
Blow-up Criterion
Regularity Criterion
Magnetohydrodynamic Equations
12 Citations (Scopus)

Analytic smoothing effect for nonlinear schrödinger equation in two space dimensions

Hoshino, G. & Ozawa, T., 2014 Jul 1, In : Osaka Journal of Mathematics. 51, 3, p. 609-618 10 p.

Research output: Contribution to journalArticle

Smoothing Effect
Analytic Solution
Global Existence
Cauchy
Cauchy Problem
16 Citations (Scopus)

Analytic smoothing effect for nonlinear Schrödinger equation with quintic nonlinearity

Hoshino, G. & Ozawa, T., 2014 Nov 1, In : Journal of Mathematical Analysis and Applications. 419, 1, p. 285-297 13 p.

Research output: Contribution to journalArticle

Smoothing Effect
Sobolev spaces
Quintic
Nonlinear equations
Nonlinear Equations
7 Citations (Scopus)
Global Well-posedness
Wave equations
Quartic
Wave equation
Nonlinear Evolution Equations
3 Citations (Scopus)

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

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

Research output: Contribution to journalArticle

Trigonometric identity
Bilinear Estimates
Hyperbola
Klein-Gordon Equation
Pullback
1 Citation (Scopus)

Identities for the difference between the arithmetic and geometric means

Fujiwara, K. & Ozawa, T., 2014, In : International Journal of Mathematical Analysis. 8, 29-32, p. 1525-1542 18 p.

Research output: Contribution to journalArticle

Geometric mean
Odd number
Sum of squares
Linear Combination
Express
Hardy Inequality
Lorentz Spaces
Sobolev Spaces
Logarithmic
Generalization
24 Citations (Scopus)

On the orbital stability of fractional Schrödinger equations

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

Research output: Contribution to journalArticle

Schrodinger equation
Orbital Stability
Schrodinger Equation
Standing Wave
Ground state