• 2572 Citations
  • 29 h-Index
1987 …2019

Research output per year

If you made any changes in Pure these will be visible here soon.

Research Output

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

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

4 Citations (Scopus)

Life-span of smooth solutions to the complex Ginzburg-Landau type equation on a torus

Ozawa, T. & Yamazaki, Y., 2003 Nov, In : Nonlinearity. 16, 6, p. 2029-2034 6 p.

Research output: Contribution to journalArticle

11 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

3 Citations (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

1 Citation (Scopus)
3 Citations (Scopus)
2 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

13 Citations (Scopus)

Long range scattering for non-linear Schrödinger and Hartree equations in space dimension n≥2

Ginibre, J. & Ozawa, T., 1993 Feb, In : Communications in Mathematical Physics. 151, 3, p. 619-645 27 p.

Research output: Contribution to journalArticle

115 Citations (Scopus)

Long range scattering for nonlinear Schrödinger equations in one space dimension

Ozawa, T., 1991 Aug, In : Communications in Mathematical Physics. 139, 3, p. 479-493 15 p.

Research output: Contribution to journalArticle

154 Citations (Scopus)

Low energy scattering for nonlinear Schrödinger equations in fractional order Sobolev spaces

Nakamura, M. & Ozawa, T., 1997 Apr, In : Reviews in Mathematical Physics. 9, 3, p. 397-410 14 p.

Research output: Contribution to journalArticle

33 Citations (Scopus)
3 Citations (Scopus)
1 Citation (Scopus)

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
2 Citations (Scopus)

Modified wave operators for the derivative nonlinear Schrödinger equation

Hayashi, N. & Ozawa, T., 1994 Jan, In : Mathematische Annalen. 298, 1, p. 557-576 20 p.

Research output: Contribution to journalArticle

55 Citations (Scopus)

Non-existence of positive commutators

Ozawa, T., 1990, In : Hiroshima Mathematical Journal. 20, 1, p. 209-211 3 p.

Research output: Contribution to journalArticle

Non-existence of wave operators for Stark effect Hamiltonians

Ozawa, T., 1991 May, In : Mathematische Zeitschrift. 207, 1, p. 335-339 5 p.

Research output: Contribution to journalArticle

15 Citations (Scopus)

Nonlinear scattering with nonlocal interaction

Nawa, H. & Ozawa, T., 1992 May, In : Communications in Mathematical Physics. 146, 2, p. 259-275 17 p.

Research output: Contribution to journalArticle

28 Citations (Scopus)

Nonlinear Schrödinger Equations in the Sobolev Space of Critical Order

Nakamura, M. & Ozawa, T., 1998 Jun 1, In : Journal of Functional Analysis. 155, 2, p. 364-380 17 p.

Research output: Contribution to journalArticle

68 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

41 Citations (Scopus)

Nonrelativistic limit in the energy space for nonlinear Klein-Gordon equations

Machihara, S., Nakanishi, K. & Ozawa, T., 2002, In : Mathematische Annalen. 322, 3, p. 603-621 19 p.

Research output: Contribution to journalArticle

60 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

14 Citations (Scopus)

On a decay property of solutions to the Haraux-Weissler equation

Fukuizumi, R. & Ozawa, T., 2006 Feb 1, In : Journal of Differential Equations. 221, 1, p. 134-142 9 p.

Research output: Contribution to journalArticle

4 Citations (Scopus)
32 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

3 Citations (Scopus)

On Critical Cases of Sobolev′s Inequalities

Ozawa, T., 1995 Feb 1, In : Journal of Functional Analysis. 127, 2, p. 259-269 11 p.

Research output: Contribution to journalArticle

106 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

6 Citations (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

1 Citation (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

6 Citations (Scopus)

On small amplitude solutions to the generalized boussinesq equations

Cho, Y. & Ozawa, T., 2007 Apr, In : Discrete and Continuous Dynamical Systems. 17, 4, p. 691-711 21 p.

Research output: Contribution to journalArticle

42 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

5 Citations (Scopus)

On solutions of the wave equation with homogeneous Cauchy data

Kato, J. & Ozawa, T., 2004 Feb, In : Asymptotic Analysis. 37, 2, p. 93-107 15 p.

Research output: Contribution to journalArticle

6 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

51 Citations (Scopus)

On the derivative nonlinear Schrödinger equation

Hayashi, N. & Ozawa, T., 1992, In : Physica D: Nonlinear Phenomena. 55, 1-2, p. 14-36 23 p.

Research output: Contribution to journalArticle

99 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

4 Citations (Scopus)

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

On the nonlinear Schrödinger equations of derivative type

Ozawa, T., 1996 Mar, In : Indiana University Mathematics Journal. 45, 1, p. 137-163 27 p.

Research output: Contribution to journalArticle

85 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

26 Citations (Scopus)

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

On the semirelativistic Hartree-type equation

Cho, Y. & Ozawa, T., 2006, In : SIAM Journal on Mathematical Analysis. 38, 4, p. 1060-1074 15 p.

Research output: Contribution to journalArticle

47 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

4 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

3 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

10 Citations (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

1 Citation (Scopus)

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 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

8 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

38 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

12 Citations (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

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

1 Citation (Scopus)