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Research Output 1987 2019

  • 2546 Citations
  • 29 h-Index
  • 156 Article
  • 3 Conference contribution
  • 2 Editorial
  • 1 Chapter
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Article
Article
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
10 Citations (Scopus)

A generalization of the weighted strichartz estimates for wave equations and an application to self-similar solutions

Kato, J., Nakamura, M. & Ozawa, T., 2007 Feb, In : Communications on Pure and Applied Mathematics. 60, 2, p. 164-186 23 p.

Research output: Contribution to journalArticle

Strichartz Estimates
Weighted Estimates
Self-similar Solutions
Wave equations
Wave equation
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
7 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
16 Citations (Scopus)

Analytic smoothing effect for global solutions to nonlinear Schrödinger equations

Ozawa, T. & Yamauchi, K., 2010 Apr 15, In : Journal of Mathematical Analysis and Applications. 364, 2, p. 492-497 6 p.

Research output: Contribution to journalArticle

Smoothing Effect
Invariance
Nonlinear equations
Global Solution
Nonlinear 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
17 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
12 Citations (Scopus)

Analytic smoothing effect for solutions to schrödinger equations with nonlinearity of integral type

Ozawa, T., Yamauchi, K. & Yamazaki, Y., 2005 Dec, In : Osaka Journal of Mathematics. 42, 4, p. 737-750 14 p.

Research output: Contribution to journalArticle

Smoothing Effect
Nonlinearity
Exponential Type
Cauchy
Cauchy Problem
2 Citations (Scopus)
Leibniz' rule
Smoothing Effect
Cubic equation
Hyperbolic Equations
Global Solution
1 Citation (Scopus)

An approximation model for the density-dependent magnetohydrodynamic equations

Fan, J. & Ozawa, T., 2013, In : Discrete and Continuous Dynamical Systems - Series S. SUPPL., p. 207-216 10 p.

Research output: Contribution to journalArticle

Magnetohydrodynamic Equations
Magnetohydrodynamics
Cauchy Problem
Dependent
Approximation
7 Citations (Scopus)
Global Well-posedness
Wave equations
Quartic
Wave equation
Nonlinear Evolution Equations
2 Citations (Scopus)

A note on the existence of a ground state solution to a fractional Schrödinger equation

Cho, Y. & Ozawa, T., 2013 Jul 25, In : Kyushu Journal of Mathematics. 67, 1, p. 227-236 10 p.

Research output: Contribution to journalArticle

Ground State Solution
Global Minimizer
Fractional
Regular Solution
Nontrivial Solution
12 Citations (Scopus)

A note on the null condition for quadratic nonlinear Klein-Gordon systems in two space dimensions

Katayama, S., Ozawa, T. & Sunagawa, H., 2012 Sep, In : Communications on Pure and Applied Mathematics. 65, 9, p. 1285-1302 18 p.

Research output: Contribution to journalArticle

Null Condition
Sobolev spaces
Weighted Sobolev Spaces
Global Existence
Cauchy Problem

A poisson formula for the Schrödinger operator

Carles, R. & Ozawa, T., 2008 Jun, In : Journal of Fourier Analysis and Applications. 14, 3, p. 475-483 9 p.

Research output: Contribution to journalArticle

Siméon Denis Poisson
Nonlinearity
Operator
Wave Operator
Nonlinear Operator
4 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
2 Citations (Scopus)

Asymptotic stability for the Navier-Stokes equations

Fan, J. & Ozawa, T., 2008 May, In : Journal of Evolution Equations. 8, 2, p. 379-389 11 p.

Research output: Contribution to journalArticle

Navier-Stokes equations
Asymptotic Stability
3D
Weak Solution
Navier-Stokes Equations
5 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
13 Citations (Scopus)

Dilation method and smoothing effects of solutions to the Benjamin-Ono equation

Hayashi, N., Kato, K. & Ozawa, T., 1996, In : Royal Society of Edinburgh - Proceedings A. 126, 2, p. 273-285 13 p.

Research output: Contribution to journalArticle

Benjamin-Ono Equation
Smoothing Effect
Hilbert Transform
Dilation

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)

Elliptic estimates independent of domain expansion

Cho, Y., Ozawa, T. & Shim, Y. S., 2009 Mar, In : Calculus of Variations and Partial Differential Equations. 34, 3, p. 321-339 19 p.

Research output: Contribution to journalArticle

Sobolev spaces
Invariance
Estimate
Parabolic Systems
Strong Solution
55 Citations (Scopus)

Endpoint Strichartz estimates and global solutions for the nonlinear Dirac equation

Machihara, S., Nakamura, M., Nakanishi, K. & Ozawa, T., 2005 Feb 1, In : Journal of Functional Analysis. 219, 1, p. 1-20 20 p.

Research output: Contribution to journalArticle

Strichartz Estimates
Global Well-posedness
Polar coordinates
Klein-Gordon Equation
Dirac Equation
4 Citations (Scopus)
Strichartz Estimates
Klein-Gordon Equation
Non-relativistic Limit
Nonlinear Klein-Gordon Equation
Polar coordinates
3 Citations (Scopus)

Exact remainder formula for the young inequality and applications

Fujiwara, K. & Ozawa, T., 2013, In : International Journal of Mathematical Analysis. 7, 53-56, p. 2723-2735 13 p.

Research output: Contribution to journalArticle

Young's Inequality
Remainder
Explicit Formula
10 Citations (Scopus)

Exponential decay of solutions to nonlinear elliptic equations with potentials

Fukuizumi, R. & Ozawa, T., 2005 Nov, In : Zeitschrift fur Angewandte Mathematik und Physik. 56, 6, p. 1000-1011 12 p.

Research output: Contribution to journalArticle

Decay of Solutions
Nonlinear Elliptic Equations
Exponential Decay
Harmonic Potential
Decay Estimates
1 Citation (Scopus)
Ultrashort Laser Pulses
Cubic equation
L-space
Ultrashort pulses
Electric space charge
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
10 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
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
7 Citations (Scopus)

Generalizations of the logarithmic Hardy inequality in critical Sobolev-Lorentz spaces

Machihara, S., Ozawa, T. & Wadade, H., 2013 Dec, In : Journal of Inequalities and Applications. 2013, 381.

Research output: Contribution to journalArticle

Hardy Inequality
Lorentz Spaces
Sobolev Spaces
Logarithmic
Hardy-type Inequality
12 Citations (Scopus)

Global, small radially symmetric solutions to nonlinear Schrödinger equations and a gauge transformation

Hayashi, N., Ozawa, T. & Temam, R., 1995, In : Differential and Integral Equations. 8, 5, p. 1061-1072 12 p.

Research output: Contribution to journalArticle

Radially Symmetric Solutions
Gauge Transformation
Energy Method
Nonlinear equations
Global Existence
24 Citations (Scopus)

Global cauchy problem for the 2-D magnetohydrodynamic-α models with partial viscous terms

Fan, J. & Ozawa, T., 2010 May, In : Journal of Mathematical Fluid Mechanics. 12, 2, p. 306-319 14 p.

Research output: Contribution to journalArticle

Cauchy problem
Magnetohydrodynamics
magnetohydrodynamics
Cauchy Problem
Partial
1 Citation (Scopus)

Global Cauchy problem of an ideal density-dependent MHD-α model

Fan, J. & Ozawa, T., 2011 Sep, In : Discrete and Continuous Dynamical Systems- Series A. SUPPL., p. 400-409 10 p.

Research output: Contribution to journalArticle

Magnetohydrodynamics
Cauchy Problem
Dependent
Approximation
Model
58 Citations (Scopus)

Global existence and asymptotic behavior of solutions for the Klein-Gordon equations with quadratic nonlinearity in two space dimensions

Ozawa, T., Tsutaya, K. & Tsutsumi, Y., 1996 Jul, In : Mathematische Zeitschrift. 222, 3, p. 341-362 22 p.

Research output: Contribution to journalArticle

Klein-Gordon Equation
Asymptotic Behavior of Solutions
Global Existence
Nonlinearity
18 Citations (Scopus)
Classical Solution
Nonlinear equations
Global Existence
Nonlinear Equations
Derivatives
1 Citation (Scopus)
Ginzburg-Landau Model
Superconductivity
Strong Solution
3D Model
Global Existence
4 Citations (Scopus)

Global existence on nonlinear Schrödinger-IMBq equations

Cho, Y. & Ozawa, T., 2006, In : Journal of Mathematics of Kyoto University. 46, 3, p. 535-552 18 p.

Research output: Contribution to journalArticle

Blow-up Criterion
Global Existence
Nonlinearity
BMO Space
Triebel-Lizorkin Space
1 Citation (Scopus)
Global Solution
Nonlinear Schrödinger Equation
Nonlinearity
29 Citations (Scopus)

Global solutions in the critical Sobolev space for the wave equations with nonlinearity of exponential growth

Nakamura, M. & Ozawa, T., 1999 Jul, In : Mathematische Zeitschrift. 231, 3, p. 479-487 9 p.

Research output: Contribution to journalArticle

Exponential Growth
Global Solution
Sobolev Spaces
Wave equation
Nonlinearity
6 Citations (Scopus)

Global solutions of semirelativistic hartree type equations

Cho, Y. & Ozawa, T., 2007 Sep, In : Journal of the Korean Mathematical Society. 44, 5, p. 1065-1078 14 p.

Research output: Contribution to journalArticle

Global Solution
Global Existence
Initial Value Problem
Convolution
Scattering
6 Citations (Scopus)
Ginzburg-Landau Model
Superconductivity
Strong Solution
Gauge
Ginzburg-Landau Equation
6 Citations (Scopus)

Global well-posedness of critical nonlinear Schrödinger equations below L2

Cho, Y., Hwang, G. & Ozawa, T., 2013 Apr, In : Discrete and Continuous Dynamical Systems- Series A. 33, 4, p. 1389-1405 17 p.

Research output: Contribution to journalArticle

Global Well-posedness
Nonlinear equations
Nonlinear Equations
Strichartz Estimates
Weighted Estimates
4 Citations (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
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
7 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
13 Citations (Scopus)

Hardy type inequalities on balls

Machihara, S., Ozawa, T. & Wadade, H., 2013, In : Tohoku Mathematical Journal. 65, 3, p. 321-330 10 p.

Research output: Contribution to journalArticle

Hardy-type Inequality
Ball
Radius
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
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
8 Citations (Scopus)

Inequalities associated with dilations

Ozawa, T. & Sasaki, H., 2009 Apr, In : Communications in Contemporary Mathematics. 11, 2, p. 265-277 13 p.

Research output: Contribution to journalArticle

Dilation
Hardy Inequality
Operator
Vanish
Semigroup
87 Citations (Scopus)

Interpolation inequalities in Besov spaces

Machihara, S. & Ozawa, T., 2003 May, In : Proceedings of the American Mathematical Society. 131, 5, p. 1553-1556 4 p.

Research output: Contribution to journalArticle

Interpolation Inequality
Besov Spaces
Homogeneous Space
Interpolation

Invariant elliptic estimates

Cho, Y., Ozawa, T. & Shim, Y. S., 2011 Oct 1, In : Journal of Mathematical Analysis and Applications. 382, 1, p. 162-171 10 p.

Research output: Contribution to journalArticle

Shims
Gradient Estimate
Invariant
Estimate