• 2572 Citations
  • 29 h-Index
1987 …2019

Research output per year

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Research Output

  • 2572 Citations
  • 29 h-Index
  • 156 Article
  • 3 Conference contribution
  • 2 Editorial
  • 1 Chapter
Article

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

1 Citation (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

10 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

3 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

9 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

16 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

13 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

19 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

12 Citations (Scopus)
2 Citations (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

1 Citation (Scopus)
7 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

2 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

12 Citations (Scopus)

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

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

4 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

2 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

5 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

13 Citations (Scopus)

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

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

1 Citation (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

55 Citations (Scopus)
4 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

3 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

10 Citations (Scopus)
1 Citation (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

4 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

10 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

5 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

7 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

12 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

24 Citations (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

1 Citation (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

59 Citations (Scopus)
18 Citations (Scopus)
1 Citation (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

4 Citations (Scopus)
1 Citation (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

29 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

6 Citations (Scopus)
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

6 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

6 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

2 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

7 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

13 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

4 Citations (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

1 Citation (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

8 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

88 Citations (Scopus)

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