小澤 徹

研究成果

年別の研究成果 1987 2009 2011 2013 2014 2015 2016 2017 2018 2020 2023

• 177 Article
• 4 Conference contribution
• 4 Editorial
• 2 Chapter

年別の研究成果

年別の研究成果

検索結果

• 2016

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

  Hoshino, G. & Ozawa, T., 2016 2月 1, In: Nonlinear Differential Equations and Applications. 23, 1, p. 1-10 10 p., 3.

  研究成果: Article › 査読

  Open Access

  • Leibniz' rule 100%
  • Smoothing Effect 92%
  • Nonlinear equations 75%
  • Analytic Solution 71%
  • Cauchy 62%
  5 被引用数 (Scopus)

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

  Fan, J. & Ozawa, T., 2016 9月 1, In: Applicable Analysis. 95, 9, p. 2029-2038 10 p.

  研究成果: Article › 査読

  • Superconductivity 100%
  • Ginzburg-Landau Model 89%
  • Ginzburg-Landau 79%
  • Gauge 68%
  • Gages 63%
  1 被引用数 (Scopus)

• Weighted Lp-boundedness of convolution type integral operators associated with bilinear estimates in the Sobolev spaces

  Fujiwara, K. & Ozawa, T., 2016, In: Journal of the Mathematical Society of Japan. 68, 1, p. 169-191 23 p.

  研究成果: Article › 査読

  • Bilinear Estimates 100%
  • Integral Operator 62%
  • Sobolev Spaces 59%
  • Convolution 56%
  • Boundedness 54%

• Well-posedness for a generalized derivative nonlinear Schr�dinger equation

  Hayashi, M. & Ozawa, T., 2016 11月 15, In: Journal of Differential Equations. 261, 10, p. 5424-5445 22 p.

  研究成果: Article › 査読

  Open Access

  • Sobolev spaces 100%
  • Generalized Derivatives 69%
  • Local Well-posedness 65%
  • Nonlinear equations 60%
  • Well-posedness 49%
  32 被引用数 (Scopus)
• 2015

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

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

  研究成果: Article › 査読

  • Wave Interaction 100%
  • Smoothing Effect 96%
  • wave interaction 82%
  • smoothing 78%
  • System of equations 63%
  4 被引用数 (Scopus)

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

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

  研究成果: Article › 査読

  • Wave Interaction 100%
  • Smoothing Effect 96%
  • Exponential Decay 76%
  • System of equations 63%
  • Quintic 42%
  11 被引用数 (Scopus)

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

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

  研究成果: Article › 査読

  • Extinction Time 100%
  • Nonlinear equations 77%
  • Damping 68%
  • Nonlinear Equations 58%
  • Finite Time Blow-up 43%
  11 被引用数 (Scopus)

• On a system of semirelativistic equations in the energy space

  Fujiwara, K., Machihara, S. & Ozawa, T., 2015 7月 1, In: Communications on Pure and Applied Analysis. 14, 4, p. 1343-1355 13 p.

  研究成果: Article › 査読

  • System of equations 100%
  • Energy 77%
  • Well-posedness 51%
  • Cauchy Problem 45%
  • Approximate Solution 44%
  4 被引用数 (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 5月 1, In: Advances in Differential Equations. 20, 5-6, p. 433-462 30 p.

  研究成果: Article › 査読

  • Qualitative Properties 100%
  • Damped 92%
  • Dissipation 90%
  • Lp Estimates 54%
  • Coefficient 45%
  8 被引用数 (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.

  研究成果: Article › 査読

  • Regularity Criterion 100%
  • Slip 95%
  1 被引用数 (Scopus)

• Remarks on global solutions to the cauchy problem for semirelativistic equations with power type nonlinearity

  Fujiwara, K. & Ozawa, T., 2015, In: International Journal of Mathematical Analysis. 9, 53-56, p. 2599-2610 12 p.

  研究成果: Article › 査読

  • Global Solution 100%
  • Cauchy Problem 84%
  • Nonlinearity 78%
  • Nonexistence 61%
  • Existence Results 29%
  9 被引用数 (Scopus)

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

  Machihara, S., Ozawa, T. & Wadade, H., 2015 12月 25, In: Journal of Inequalities and Applications. 2015, 1, 281.

  研究成果: Article › 査読

  Open Access

  • Scaling 70%
  • Logarithmic 69%
  • Absorbing 46%
  • Invariant 46%
  • Limiting 33%
  13 被引用数 (Scopus)

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

  Fujiwara, K., Machihara, S. & Ozawa, T., 2015 8月 1, In: Communications in Mathematical Physics. 338, 1, p. 367-391 25 p.

  研究成果: Article › 査読

  • Cauchy problem 100%
  • Well-posedness 66%
  • System of equations 65%
  • Cauchy Problem 59%
  • Sobolev space 42%
  4 被引用数 (Scopus)
• 2014

  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.

  研究成果: Article › 査読

  • Variable Viscosity 100%
  • MHD Equations 90%
  • Blow-up Criterion 87%
  • Regularity Criterion 84%
  • Magnetohydrodynamic Equations 83%
  1 被引用数 (Scopus)

• Analytic smoothing effect for nonlinear schrödinger equation in two space dimensions

  Hoshino, G. & Ozawa, T., 2014 7月 1, In: Osaka Journal of Mathematics. 51, 3, p. 609-618 10 p.

  研究成果: Article › 査読

  • Smoothing Effect 100%
  • Analytic Solution 77%
  • Cauchy 67%
  • Two Dimensions 67%
  • Global Existence 67%
  14 被引用数 (Scopus)

• Analytic smoothing effect for nonlinear Schrödinger equation with quintic nonlinearity

  Hoshino, G. & Ozawa, T., 2014 11月 1, In: Journal of Mathematical Analysis and Applications. 419, 1, p. 285-297 13 p.

  研究成果: Article › 査読

  • Sobolev spaces 100%
  • Smoothing Effect 74%
  • Quintic 66%
  • Nonlinear equations 60%
  • Nonlinear Equations 45%
  22 被引用数 (Scopus)

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

  Ozawa, T. & Rogers, K. M., 2014 11月, In: International Mathematics Research Notices. 2014, 5, p. 1367-1378 12 p.

  研究成果: Article › 査読

  • Trigonometric identity 100%
  • Bilinear Estimates 92%
  • Hyperbola 84%
  • Klein-Gordon Equation 75%
  • Pullback 69%
  6 被引用数 (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.

  研究成果: Article › 査読

  • Geometric mean 100%
  • Odd number 48%
  • Sum of squares 45%
  • Express 37%
  • Linear Combination 37%
  1 被引用数 (Scopus)

• Notes on the paper entitled ‘generalizations of the logarithmic hardy inequality in critical sobolev-lorentz spaces’

  Machihara, S., Ozawa, T. & Wadade, H., 2014, In: Journal of Inequalities and Applications. 2014, 253.

  研究成果: Article › 査読

• On the orbital stability of fractional Schrödinger equations

  Cho, Y., Hajaiej, H., Hwang, G. & Ozawa, T., 2014 5月, In: Communications on Pure and Applied Analysis. 13, 3, p. 1267-1282 16 p.

  研究成果: Article › 査読

  • Schrodinger equation 100%
  • Ground state 84%
  • Schrodinger Equation 73%
  • Orbital Stability 73%
  • Standing Wave 68%
  38 被引用数 (Scopus)

• On the semilinear Schrödinger equation with time dependent coefficients

  Gonda, T., Machihara, S. & Ozawa, T., 2014 12月 1, In: Mathematische Nachrichten. 287, 17-18, p. 1986-2001 16 p.

  研究成果: Article › 査読

  • Semilinear Equations 100%
  • Lorentz Spaces 68%
  • Integrability 53%
  • Coefficient 44%
  • Strichartz Estimates 37%
  1 被引用数 (Scopus)

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

  Fan, J. & Ozawa, T., 2014 3月, In: Kinetic and Related Models. 7, 1, p. 45-56 12 p.

  研究成果: Article › 査読

  • Regularity Criterion 100%
  • Magnetohydrodynamics 93%
  • Dissipation 80%
  • Horizontal 75%
  • Strong Solution 40%
  11 被引用数 (Scopus)

• Regularity criteria for the density-dependent Hall-magnetohydrodynamics

  Fan, J. & Ozawa, T., 2014 10月, In: Applied Mathematics Letters. 36, p. 14-18 5 p.

  研究成果: Article › 査読

  • Regularity Criterion 100%
  • Magnetohydrodynamics 93%
  • Dependent 54%
  • Decrease 23%
  • Nonexistence 23%
  13 被引用数 (Scopus)

• Stability of the Young and Hölder inequalities

  Fujiwara, K. & Ozawa, T., 2014 5月, In: Journal of Inequalities and Applications. 2014, 1, 162.

  研究成果: Article › 査読

  • Young's Inequality 100%
  • Refinement 32%
  4 被引用数 (Scopus)

• 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.

  研究成果: Article › 査読

  • Dielectric Constant 100%
  • Maxwell System 85%
  • Local Solution 74%
  • Local Existence 72%
  • Permittivity 66%
• 2013

  An approximation model for the density-dependent magnetohydrodynamic equations

  Fan, J. & Ozawa, T., 2013 11月, In: Discrete and Continuous Dynamical Systems - Series S. SUPPL., p. 207-216 10 p.

  研究成果: Article › 査読

  • Magnetohydrodynamic Equations 100%
  • Magnetohydrodynamics 94%
  • Cauchy Problem 65%
  • Dependent 54%
  • Approximation 41%
  1 被引用数 (Scopus)

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

  Cho, Y. & Ozawa, T., 2013 7月 25, In: Kyushu Journal of Mathematics. 67, 1, p. 227-236 10 p.

  研究成果: Article › 査読

  • Global Minimizer 100%
  • Ground State Solution 96%
  • Fractional 57%
  • Regular Solution 46%
  • Nontrivial Solution 39%
  3 被引用数 (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.

  研究成果: Article › 査読

  • Young's Inequality 100%
  • Explicit Formula 59%
  3 被引用数 (Scopus)

• Finite charge solutions to cubic schrödinger equations with a nonlocal nonlinearity in one space dimension

  Nakamura, K. & Ozawa, T., 2013, In: Discrete and Continuous Dynamical Systems- Series A. 33, 2, p. 789-801 13 p.

  研究成果: Article › 査読

  • Ultrashort Laser Pulses 100%
  • Ultrashort pulses 79%
  • Electric space charge 65%
  • Cubic equation 60%
  • Charge 49%
  1 被引用数 (Scopus)

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

  Machihara, S., Ozawa, T. & Wadade, H., 2013 12月, In: Journal of Inequalities and Applications. 2013, 381.

  研究成果: Article › 査読

  • Lorentz Spaces 94%
  • Sobolev Spaces 72%
  • Logarithmic 69%
  • Generalization 41%
  • Hardy-type Inequality 35%
  9 被引用数 (Scopus)

• Global existence of strong solutions to a time-dependent 3D Ginzburg-Landau model for superconductivity with partial viscous terms

  Fan, J. & Ozawa, T., 2013 12月, In: Mathematische Nachrichten. 286, 17-18, p. 1792-1796 5 p.

  研究成果: Article › 査読

  • 3D Model 100%
  • Ginzburg-Landau Model 97%
  • Strong Solution 70%
  • Global Existence 62%
  • Initial-boundary-value Problem 62%
  1 被引用数 (Scopus)

• Global well-posedness of critical nonlinear Schrödinger equations below L²

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

  研究成果: Article › 査読

  • Nonlinear equations 97%
  • Nonlinear Equations 72%
  • Strichartz Estimates 57%
  • Polar coordinates 55%
  • Weighted Estimates 54%
  9 被引用数 (Scopus)

• Hardy type inequalities on balls

  Machihara, S., Ozawa, T. & Wadade, H., 2013 9月, In: Tohoku Mathematical Journal. 65, 3, p. 321-330 10 p.

  研究成果: Article › 査読

  Open Access

  • Hardy-type Inequality 100%
  • Radius 63%
  • Ball 62%
  21 被引用数 (Scopus)

• On a system of nonlinear Schrödinger equations with quadratic interaction

  Hayashi, N., Ozawa, T. & Tanaka, K., 2013, In: Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire. 30, 4, p. 661-690 30 p.

  研究成果: Article › 査読

  • Ground state 100%
  • System of Nonlinear Equations 74%
  • Nonlinear equations 71%
  • Ground State 71%
  • nonlinear equations 62%
  54 被引用数 (Scopus)

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

  Cho, Y., Hajaiej, H., Hwang, G. & Ozawa, T., 2013 8月 26, In: Funkcialaj Ekvacioj. 56, 2, p. 193-224 32 p.

  研究成果: Article › 査読

  • Schrodinger Equation 100%
  • Finite Time Blow-up 91%
  • Blow-up of Solutions 87%
  • Local Solution 85%
  • Global Solution 71%
  81 被引用数 (Scopus)

• Sharp Morawetz estimates

  Ozawa, T. & Rogers, K. M., 2013 10月, In: Journal d'Analyse Mathematique. 121, 1, p. 163-175 13 p.

  研究成果: Article › 査読

  • Integrability 100%
  • Estimate 51%
  18 被引用数 (Scopus)

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

  Ozawa, T. & Sunagawa, H., 2013 3月 1, In: Journal of Mathematical Analysis and Applications. 399, 1, p. 147-155 9 p.

  研究成果: Article › 査読

  • System of Nonlinear Equations 100%
  • Blow molding 96%
  • Nonlinear equations 95%
  • Amplification 90%
  • Blow-up 78%
  22 被引用数 (Scopus)

• Some inequalities related to the lorentz spaces

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

  研究成果: Article › 査読

  • Lorentz Spaces 100%
  1 被引用数 (Scopus)
• 2012

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

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

  研究成果: Article › 査読

  • Sobolev spaces 100%
  • Weighted Sobolev Spaces 31%
  • Global Existence 24%
  • Cauchy Problem 22%
  • Nonlinearity 20%
  15 被引用数 (Scopus)

• Global strong solutions of the time-dependent ginzburg-landau model for superconductivity with a new gauge

  Fan, J. & Ozawa, T., 2012 8月 22, In: International Journal of Mathematical Analysis. 6, 33-36, p. 1679-1684 6 p.

  研究成果: Article › 査読

  • Ginzburg-Landau Model 100%
  • Gauge 76%
  • Strong Solution 72%
  • Ginzburg-Landau Equation 44%
  • Global Existence 32%
  7 被引用数 (Scopus)

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

  Fan, J. & Ozawa, T., 2012 8月 22, In: International Journal of Mathematical Analysis. 6, 21-24, p. 1095-1104 10 p.

  研究成果: Article › 査読

  • 3D Model 100%
  • Ginzburg-Landau Model 97%
  • Gauge 74%
  • Weak Solution 58%
  • Radially Symmetric Solutions 46%
  3 被引用数 (Scopus)

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

  Fan, J. & Ozawa, T., 2012 6月, In: Zeitschrift fur Angewandte Mathematik und Physik. 63, 3, p. 453-459 7 p.

  研究成果: Article › 査読

  • Superconductivity 100%
  • Ginzburg-Landau Model 89%
  • uniqueness 75%
  • Gauge 68%
  • Gages 63%
  12 被引用数 (Scopus)
• 2011

  Endpoint Strichartz estimates for the Klein-Gordon equation in two space dimensions and some applications

  Kato, J. & Ozawa, T., 2011 1月, In: Journal des Mathematiques Pures et Appliquees. 95, 1, p. 48-71 24 p.

  研究成果: Article › 査読

  • Strichartz Estimates 100%
  • Klein-Gordon Equation 92%
  • Nonlinear Klein-Gordon Equation 34%
  • Polar coordinates 32%
  • Global Solution 24%
  10 被引用数 (Scopus)

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

  Fan, J. & Ozawa, T., 2011 9月 1, In: Discrete and Continuous Dynamical Systems- Series A. SUPPL., p. 400-409 10 p.

  研究成果: Article › 査読

  • Magnetohydrodynamics 100%
  • Cauchy Problem 68%
  • Dependent 58%
  • Model 28%
  • Approximation 22%
  1 被引用数 (Scopus)

• Invariant elliptic estimates

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

  研究成果: Article › 査読

  • Shims 100%
  • Invariant 37%
  • Estimate 31%

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

  Ozawa, T. & Yamauchi, Y., 2011 7月 15, In: Journal of Mathematical Analysis and Applications. 379, 2, p. 518-523 6 p.

  研究成果: Article › 査読

  • Semilinear Heat Equation 100%
  • Life Span 95%
  • Positive Solution 62%
  • Blow-up Solution 43%
  • Hot Temperature 37%
  5 被引用数 (Scopus)

• Local cauchy problem for the MHD equations with mass diffusion

  Fan, J. & Ozawa, T., 2011 11月 1, In: Differential and Integral Equations. 24, 11-12, p. 1037-1046 10 p.

  研究成果: Article › 査読

  • MHD Equations 100%
  • Magnetohydrodynamics 87%
  • Local Solution 85%
  • Fixed point theorem 60%
  • Cauchy Problem 59%
  1 被引用数 (Scopus)

• On Hartree equations with derivatives

  Cho, Y., Lee, S. & Ozawa, T., 2011 3月 15, In: Nonlinear Analysis, Theory, Methods and Applications. 74, 6, p. 2094-2108 15 p.

  研究成果: Article › 査読

  • Hartree Equation 100%
  • Derivatives 56%
  • Cauchy Problem 54%
  • Smoothing Effect 45%
  • Derivative 42%
  6 被引用数 (Scopus)

• Regularity criterion for the incompressible viscoelastic fluid system

  Fan, J. & Ozawa, T., 2011 12月 26, In: Houston Journal of Mathematics. 37, 2, p. 627-636 10 p.

  研究成果: Article › 査読

  • Viscoelastic Fluid 100%
  • Regularity Criterion 97%
  • Incompressible Fluid 76%
  • 3D 28%
  • Smooth Solution 27%
  19 被引用数 (Scopus)

• Remarks on some dispersive estimates

  Cho, Y., Ozawa, T. & Xia, S., 2011 7月, In: Communications on Pure and Applied Analysis. 10, 4, p. 1121-1128 8 p.

  研究成果: Article › 査読

  • Dispersive Estimates 100%
  • Bessel functions 99%
  • Initial value problems 97%
  • Strichartz Estimates 44%
  • Oscillatory Integrals 44%
  57 被引用数 (Scopus)