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Research Output 1987 2019

  • 2530 Citations
  • 29 h-Index
  • 156 Article
  • 3 Conference contribution
  • 2 Editorial
  • 1 Chapter
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Article
2014

On the semilinear Schrödinger equation with time dependent coefficients

Gonda, T., Machihara, S. & Ozawa, T., 2014 Dec 1, In : Mathematische Nachrichten. 287, 17-18, p. 1986-2001 16 p.

Research output: Contribution to journalArticle

Semilinear Equations
Lorentz Spaces
Integrability
Coefficient
Strichartz Estimates
8 Citations (Scopus)

Regularity criteria for the 2d mhd system with horizontal dissipation and horizontal magnetic diffusion

Fan, J. & Ozawa, T., 2014 Mar, In : Kinetic and Related Models. 7, 1, p. 45-56 12 p.

Research output: Contribution to journalArticle

Regularity Criterion
Magnetohydrodynamics
Dissipation
Horizontal
Strong Solution
11 Citations (Scopus)

Regularity criteria for the density-dependent Hall-magnetohydrodynamics

Fan, J. & Ozawa, T., 2014, In : Applied Mathematics Letters. 36, p. 14-18 5 p.

Research output: Contribution to journalArticle

Regularity Criterion
Magnetohydrodynamics
Dependent
Nonexistence
Infinity
4 Citations (Scopus)

Stability of the Young and Hölder inequalities

Fujiwara, K. & Ozawa, T., 2014, In : Journal of Inequalities and Applications. 2014, 1, 162.

Research output: Contribution to journalArticle

Refinement

Uniform regularity for the Landau-Lifshitz-Maxwell system without Dissipation

Fan, J. & Ozawa, T., 2014, In : Applied Mathematical Sciences. 8, 169-172, p. 8547-8557 11 p.

Research output: Contribution to journalArticle

Maxwell System
Local Existence
Local Solution
Dielectric Constant
Dissipation
2013
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
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
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
1 Citation (Scopus)
Ultrashort Laser Pulses
Cubic equation
L-space
Ultrashort pulses
Electric space charge
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
1 Citation (Scopus)
Ginzburg-Landau Model
Superconductivity
Strong Solution
3D Model
Global Existence
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
12 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
31 Citations (Scopus)
System of Nonlinear Equations
Nonlinear equations
Ground state
Ground State
Conformal Transformation
51 Citations (Scopus)

On the cauchy problem of fractional schrödinger equation with hartree type nonlinearity

Cho, Y., Hajaiej, H., Hwang, G. & Ozawa, T., 2013 Aug 26, In : Funkcialaj Ekvacioj. 56, 2, p. 193-224 32 p.

Research output: Contribution to journalArticle

Finite Time Blow-up
Schrodinger Equation
Blow-up of Solutions
Local Solution
Global Solution
12 Citations (Scopus)

Sharp Morawetz estimates

Ozawa, T. & Rogers, K. M., 2013 Oct, In : Journal d'Analyse Mathematique. 121, 1, p. 163-175 13 p.

Research output: Contribution to journalArticle

Integrability
Estimate
17 Citations (Scopus)

Small data blow-up for a system of nonlinear Schrödinger equations

Ozawa, T. & Sunagawa, H., 2013 Mar 1, In : Journal of Mathematical Analysis and Applications. 399, 1, p. 147-155 9 p.

Research output: Contribution to journalArticle

System of Nonlinear Equations
Nonlinear equations
Blow-up
Blow molding
Blowing-up Solution
1 Citation (Scopus)

Some inequalities related to the lorentz spaces

Machihara, S. & Ozawa, T., 2013, In : Hokkaido Mathematical Journal. 42, 2, p. 247-267 21 p.

Research output: Contribution to journalArticle

Lorentz Spaces
Measure space
2012
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
6 Citations (Scopus)
Ginzburg-Landau Model
Superconductivity
Strong Solution
Gauge
Ginzburg-Landau Equation
3 Citations (Scopus)

Uniqueness of weak solutions to the 3D ginzburg-landau model for superconductivity

Fan, J. & Ozawa, T., 2012, In : International Journal of Mathematical Analysis. 6, 21-24, p. 1095-1104 10 p.

Research output: Contribution to journalArticle

Ginzburg-Landau Model
Superconductivity
3D Model
Weak Solution
Gauge
8 Citations (Scopus)

Uniqueness of weak solutions to the Ginzburg-Landau model for superconductivity

Fan, J. & Ozawa, T., 2012 Jun, In : Zeitschrift fur Angewandte Mathematik und Physik. 63, 3, p. 453-459 7 p.

Research output: Contribution to journalArticle

Ginzburg-Landau Model
Superconductivity
uniqueness
Gages
Weak Solution
2011
4 Citations (Scopus)
Strichartz Estimates
Klein-Gordon Equation
Non-relativistic Limit
Nonlinear Klein-Gordon Equation
Polar coordinates
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

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
4 Citations (Scopus)

Life span of positive solutions for a semilinear heat equation with general non-decaying initial data

Ozawa, T. & Yamauchi, Y., 2011 Jul 15, In : Journal of Mathematical Analysis and Applications. 379, 2, p. 518-523 6 p.

Research output: Contribution to journalArticle

Semilinear Heat Equation
Life Span
Positive Solution
Blow-up Solution
Limiting
1 Citation (Scopus)

Local cauchy problem for the MHD equations with mass diffusion

Fan, J. & Ozawa, T., 2011 Nov, In : Differential and Integral Equations. 24, 11-12, p. 1037-1046 10 p.

Research output: Contribution to journalArticle

MHD Equations
Local Solution
Magnetohydrodynamics
Fixed point theorem
Bounded Domain
6 Citations (Scopus)

On Hartree equations with derivatives

Cho, Y., Lee, S. & Ozawa, T., 2011 Mar 15, In : Nonlinear Analysis, Theory, Methods and Applications. 74, 6, p. 2094-2108 15 p.

Research output: Contribution to journalArticle

Hartree Equation
Cauchy Problem
Derivatives
Smoothing Effect
Derivative
18 Citations (Scopus)

Regularity criterion for the incompressible viscoelastic fluid system

Fan, J. & Ozawa, T., 2011, In : Houston Journal of Mathematics. 37, 2, p. 627-636 10 p.

Research output: Contribution to journalArticle

Regularity Criterion
Viscoelastic Fluid
Incompressible Fluid
Global Well-posedness
Smooth Solution
35 Citations (Scopus)

Remarks on some dispersive estimates

Cho, Y., Ozawa, T. & Xia, S., 2011 Jul, In : Communications on Pure and Applied Analysis. 10, 4, p. 1121-1128 8 p.

Research output: Contribution to journalArticle

Dispersive Estimates
Bessel functions
Initial value problems
Strichartz Estimates
Oscillatory Integrals
2010
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
23 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
2009
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
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
13 Citations (Scopus)

Logarithmically improved regularity criteria for Navier-Stokes and related equations

Fan, J. & Ozawa, T., 2009 Nov 30, In : Mathematical Methods in the Applied Sciences. 32, 17, p. 2309-2318 10 p.

Research output: Contribution to journalArticle

Interpolation Inequality
Landau-Lifshitz Equation
Regularity Criterion
Maxwell System
Heat Flow
10 Citations (Scopus)

Regularity criteria for a simplified Ericksen-Leslie system modeling the flow of liquid crystals

Fan, J. & Ozawa, T., 2009 Nov, In : Discrete and Continuous Dynamical Systems. 25, 3, p. 859-867 9 p.

Research output: Contribution to journalArticle

Regularity Criterion
System Modeling
Liquid Crystal
Liquid crystals
Flow of fluids
37 Citations (Scopus)

Regularity criteria for the 3D density-dependent Boussinesq equations

Fan, J. & Ozawa, T., 2009, In : Nonlinearity. 22, 3, p. 553-568 16 p.

Research output: Contribution to journalArticle

Regularity Criterion
Boussinesq Equations
regularity
Viscosity
Dependent
1 Citation (Scopus)

Regularity criterion for a Bona-Colin-Lannes system

Fan, J. & Ozawa, T., 2009 Oct 1, In : Nonlinear Analysis, Theory, Methods and Applications. 71, 7-8, p. 2634-2639 6 p.

Research output: Contribution to journalArticle

Regularity Criterion
Byproducts
Besov Spaces
Smooth Solution
Strong Solution
12 Citations (Scopus)

Remarks on analytic smoothing effect for the Schrödinger equation

Ozawa, T. & Yamauchi, K., 2009 Mar, In : Mathematische Zeitschrift. 261, 3, p. 511-524 14 p.

Research output: Contribution to journalArticle

Smoothing Effect
Analyticity
Cauchy
Infinity
14 Citations (Scopus)

Remarks on the semirelativistic Hartree equations

Cho, Y., Ozawa, T., Sasaki, H. & Shim, Y., 2009 Apr, In : Discrete and Continuous Dynamical Systems. 23, 4, p. 1277-1294 18 p.

Research output: Contribution to journalArticle

Hartree Equation
Strichartz Estimates
Weighted Estimates
Radial Solutions
Fractional Integral
49 Citations (Scopus)

Sobolev inequalities with symmetry

Cho, Y. & Ozawa, T., 2009 Jun, In : Communications in Contemporary Mathematics. 11, 3, p. 355-365 11 p.

Research output: Contribution to journalArticle

Sobolev Inequality
Compact Embedding
Symmetry
Lp Spaces
Besov Spaces
3 Citations (Scopus)
Ginzburg-Landau Model
Morrey Space
Superconductivity
Besov Spaces
Gages
2008

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
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
18 Citations (Scopus)
Classical Solution
Nonlinear equations
Global Existence
Nonlinear Equations
Derivatives
39 Citations (Scopus)

Nonlinear Schrödinger equation with a point defect

Fukuizumi, R., Ohta, M. & Ozawa, T., 2008 Sep, In : Annales de l'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis. 25, 5, p. 837-845 9 p.

Research output: Contribution to journalArticle

Delta functions
Point Defects
Delta Function
Point defects
Nonlinear equations
6 Citations (Scopus)

On radial solutions of semi-relativistic Hartree equations

Cho, Y. & Ozawa, T., 2008 Mar, In : Discrete and Continuous Dynamical Systems - Series S. 1, 1, p. 71-82 12 p.

Research output: Contribution to journalArticle

Hartree Equation
Sobolev spaces
Radial Solutions
Global Well-posedness
Large Data
4 Citations (Scopus)

On the wave operators for the critical nonlinear Schrödinger equation

Carles, R. & Ozawa, T., 2008 Jan, In : Mathematical Research Letters. 15, 1, p. 185-195 11 p.

Research output: Contribution to journalArticle

Wave Operator
Nonlinear Equations
Fourier transform
Derivative
20 Citations (Scopus)
Regularity Criterion
Navier Stokes equations
Weak Solution
Navier-Stokes Equations
Gradient
2007
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