小澤 徹

研究成果

年別の研究成果 1987 2009 2011 2013 2014 2015 2016 2017 2018 2020 2022

• 174 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

• 2022

  Magnetohydrodynamics approximation of the compressible full magneto-micropolar system

  Fan, J. & Ozawa, T., 2022, In: AIMS Mathematics. 7, 9, p. 16037-16053 17 p.

  研究成果: Article › 査読

  Open Access

  • Magnetohydrodynamics 88%
  • Dielectric Constant 59%
  • Banach Fixed Point Theorem 47%
  • Approximation 39%

• Schrödinger-improved Boussinesq system in two space dimensions

  Ozawa, T. & Tomioka, K., 2022 6月, In: Journal of Evolution Equations. 22, 2, 35.

  研究成果: Article › 査読

  Open Access

  • Boussinesq System 100%
  • Strong Solution 37%
  • Sound 35%
  • Global Solution 35%
  • Cauchy Problem 29%

• Small data scattering of 2d Hartree type Dirac equations

  Cho, Y., Lee, K. & Ozawa, T., 2022 2月 1, In: Journal of Mathematical Analysis and Applications. 506, 1, 125549.

  研究成果: Article › 査読

  • Bilinear Estimates 100%
  • Dirac Equation 83%
  • Low Frequency 80%
  • Scattering 64%
  • Null 62%
  2 被引用数 (Scopus)

• Zakharov system in two space dimensions

  Ozawa, T. & Tomioka, K., 2022 1月, In: Nonlinear Analysis, Theory, Methods and Applications. 214, 112532.

  研究成果: Article › 査読

  • Global Solution 100%
  • Cauchy sequence 71%
  • Cauchy Problem 42%
  • Existence and Uniqueness 38%
  • Form 21%
  1 被引用数 (Scopus)
• 2021

  A note on 2D Navier–Stokes equations

  Fan, J. & Ozawa, T., 2021 12月, In: Partial Differential Equations and Applications. 2, 6, 73.

  研究成果: Article › 査読

  Open Access

  • Navier-Stokes Equations 84%
  • Estimate 47%
  1 被引用数 (Scopus)

• Inverse abstract Cauchy problems

  Ozawa, T., Restrepo, J. E. & Suragan, D., 2021, (Accepted/In press) In: Applicable Analysis.

  研究成果: Article › 査読

  • Abstract Cauchy Problem 100%
  • Coefficient 25%
  • Unique Solution 22%
  • Operator 11%

• Poincaré inequalities with exact missing terms on homogeneous groups

  Ozawa, T. & Suragan, D., 2021 4月, In: Journal of the Mathematical Society of Japan. 73, 2, p. 497-503 7 p.

  研究成果: Article › 査読

  • Homogeneous Groups 100%
  • Dirichlet Laplacian 99%
  • Sharp Inequality 88%
  • Euclidean 62%
  • Term 40%

• Regularity Criteria for a Ginzburg-Landau-Navier-Stokes System

  Fan, J. & Ozawa, T., 2021, In: Funkcialaj Ekvacioj. 64, 3, p. 349-360 12 p.

  研究成果: Article › 査読

  Open Access

  • Ginzburg-Landau 100%
  • Regularity Criterion 99%
  • Navier-Stokes System 93%
  • Gauge 85%

• Small data scattering of hartree type fractional schrödinger equations in a scaling critical space

  Cho, Y., Ozawa, T. & Yang, C., 2021, In: Funkcialaj Ekvacioj. 64, 1, p. 1-15 15 p.

  研究成果: Article › 査読

  Open Access

  • Scattering 100%
  • Scaling 93%
  • Fractional 78%
  • Strichartz Estimates 70%
  • Scatter 67%
  1 被引用数 (Scopus)
• 2020

  A Blow-up Criterion for the Modified Navier–Stokes–Fourier Equations

  Fan, J. & Ozawa, T., 2020 6月 1, In: Journal of Mathematical Fluid Mechanics. 22, 2, 16.

  研究成果: Article › 査読

  • Blow-up Criterion 100%
  • Boundary value problems 87%
  • Modified Equations 87%
  • boundary value problems 79%
  • Strong Solution 77%

• Cauchy problem and vanishing dispersion limit for Schrödinger-improved Boussinesq equations

  Fan, J. & Ozawa, T., 2020 5月 15, In: Journal of Mathematical Analysis and Applications. 485, 2, 123857.

  研究成果: Article › 査読

  • Cauchy Problem 69%
  2 被引用数 (Scopus)

• Existence and uniqueness of classical paths under quadratic potentials

  Narita, K. & Ozawa, T., 2020 8月 1, In: Calculus of Variations and Partial Differential Equations. 59, 4, 128.

  研究成果: Article › 査読

  • Hilbert spaces 100%
  • Tangent Bundle 82%
  • Minimizer 71%
  • Existence and Uniqueness 54%
  • Hilbert space 52%
  1 被引用数 (Scopus)

• Global solutions to the Maxwell–Navier–Stokes system in a bounded domain in 2D

  Fan, J. & Ozawa, T., 2020 8月 1, In: Zeitschrift fur Angewandte Mathematik und Physik. 71, 4, 136.

  研究成果: Article › 査読

  • uniqueness 100%
  • Strong Solution 85%
  • Global Solution 80%
  • Bounded Domain 67%
  • Boundary conditions 65%
  1 被引用数 (Scopus)

• Hardy type inequalities with spherical derivatives

  Bez, N., Machihara, S. & Ozawa, T., 2020 2月, In: Partial Differential Equations and Applications. 1, 1, 5.

  研究成果: Article › 査読

  • Hardy-type Inequality 100%
  • Derivatives 64%
  • Derivative 48%
  • Nonexistence 33%
  • Equality 30%
  3 被引用数 (Scopus)

• Multidimensional inverse Cauchy problems for evolution equations

  Karazym, M., Ozawa, T. & Suragan, D., 2020 11月 1, In: Inverse Problems in Science and Engineering. 28, 11, p. 1582-1590 9 p.

  研究成果: Article › 査読

  • Inverse problems 100%
  • Evolution Equation 83%
  • Inverse Problem 74%
  • Cauchy Problem 73%
  • Hyperbolic Equations 45%
  3 被引用数 (Scopus)

• On global well-posedness for nonlinear semirelativistic equations in some scaling subcritical and critical cases

  Fujiwara, K., Georgiev, V. & Ozawa, T., 2020 4月, In: Journal des Mathematiques Pures et Appliquees. 136, p. 239-256 18 p.

  研究成果: Article › 査読

  • Local Well-posedness 100%
  • Critical Case 96%
  • Nonlinear equations 92%
  • Scaling 73%
  • Strichartz Estimates 73%
  4 被引用数 (Scopus)

• Self-similar solutions to the derivative nonlinear Schrödinger equation

  Fujiwara, K., Georgiev, V. & Ozawa, T., 2020 6月 5, In: Journal of Differential Equations. 268, 12, p. 7940-7961 22 p.

  研究成果: Article › 査読

  • Self-similar Solutions 100%
  • Nonlinear equations 93%
  • Profile 74%
  • Logarithmic 72%
  • Derivatives 71%

• Sharp remainder of the poincarÉ inequality

  Ozawa, T. & Suragan, D., 2020 10月, In: Proceedings of the American Mathematical Society. 148, 10, p. 4235-4239 5 p.

  研究成果: Article › 査読

  • Sharp Inequality 100%
  • Carnot Group 56%
  • Variational Principle 41%
  • Imply 27%
  3 被引用数 (Scopus)
• 2019

  Local well-posedness and blow-up for the half ginzburg-landau-kuramoto equation with rough coefficients and potential

  Forcella, L., Fujiwara, K., Georgiev, V. & Ozawa, T., 2019 5月, In: Discrete and Continuous Dynamical Systems- Series A. 39, p. 2661-2678 18 p.

  研究成果: Article › 査読

  Open Access

  • Electric commutators 100%
  • Initial value problems 96%
  • Ginzburg-Landau 85%
  • Local Well-posedness 80%
  • Rough 68%
  3 被引用数 (Scopus)

• L ^p -Caffarelli-Kohn-Nirenberg type inequalities on homogeneous groups

  Ozawa, T., Ruzhansky, M. & Suragan, D., 2019 3月 1, In: Quarterly Journal of Mathematics. 70, 1, p. 305-318 14 p.

  研究成果: Article › 査読

  Open Access

  • Sharp Constants 100%
  • Homogeneous Groups 99%
  • Nilpotent Lie Group 92%
  • Euclidean 62%
  • Norm 45%
  11 被引用数 (Scopus)
• 2018

  Blow-up for self-interacting fractional Ginzburg-Landau equation

  Fujiwara, K., Georgiev, V. & Ozawa, T., 2018, In: Dynamics of Partial Differential Equations. 15, 3, p. 175-182 8 p.

  研究成果: Article › 査読

  • Life Span 100%
  • Ginzburg-Landau Equation 99%
  • Blow-up of Solutions 93%
  • Blow-up 71%
  • Cauchy Problem 64%
  5 被引用数 (Scopus)

• Dynamical behavior for the solutions of the Navier-Stokes equation

  Li, K., Ozawa, T. & Wang, B., 2018 7月, In: Communications on Pure and Applied Analysis. 17, 4, p. 1511-1560 50 p.

  研究成果: Article › 査読

  Open Access

  • Dynamical Behavior 100%
  • Navier Stokes equations 96%
  • Blow-up 86%
  • Navier-Stokes Equations 80%
  • Mild Solution 67%
  6 被引用数 (Scopus)

• Global well-posedness of weak solutions to the time-dependent ginzburg-landau model for superconductivity

  Fan, J. & Ozawa, T., 2018 8月, In: Taiwanese Journal of Mathematics. 22, 4, p. 851-858 8 p.

  研究成果: Article › 査読

  • Ginzburg-Landau Model 100%
  • Ginzburg-Landau 89%
  • Gauge 76%
  • Global Existence 64%
  • Weak Solution 60%
  15 被引用数 (Scopus)

• Higher Order Fractional Leibniz Rule

  Fujiwara, K., Georgiev, V. & Ozawa, T., 2018 6月 1, In: Journal of Fourier Analysis and Applications. 24, 3, p. 650-665 16 p.

  研究成果: Article › 査読

  • Leibniz' rule 100%
  • Redistribution 94%
  • Derivatives 57%
  • Fractional 50%
  • Higher Order 50%
  17 被引用数 (Scopus)

• On the focusing energy-critical fractional nonlinear schrödnger equations

  Cho, Y., Hwang, G. & Ozawa, T., 2018 3月 1, In: Advances in Differential Equations. 23, 3-4, p. 161-192 32 p.

  研究成果: Article › 査読

  • Ground state 100%
  • Electric commutators 95%
  • Nonlinear equations 71%
  • Kinetic energy 70%
  • Nonlinear Equations 53%
  7 被引用数 (Scopus)

• On the lifespan of strong solutions to the periodic derivative nonlinear schrÖdinger equation

  Fujiwara, K. & Ozawa, T., 2018 6月, In: Evolution Equations and Control Theory. 7, 2, p. 275-280 6 p.

  研究成果: Article › 査読

  Open Access

  • Life Span 100%
  • Nonlinear equations 87%
  • Periodic Boundary Conditions 86%
  • Strong Solution 80%
  • Derivatives 66%

• Small data scattering of hartree type fractional schrödinger equations in dimension 2 and 3

  Cho, Y. & Ozawa, T., 2018, In: Journal of the Korean Mathematical Society. 55, 2, p. 373-390 18 p.

  研究成果: Article › 査読

  • Scattering 100%
  • Fractional 78%
  • Strichartz Estimates 70%
  • Unit Sphere 55%
  • Regularity 38%
  2 被引用数 (Scopus)

• Stability of Trace Theorems on the Sphere

  Bez, N., Jeavons, C., Ozawa, T. & Sugimoto, M., 2018 4月 1, In: Journal of Geometric Analysis. 28, 2, p. 1456-1476 21 p.

  研究成果: Article › 査読

  • Trace Theorem 100%
  • Optimal Constants 45%
  • Strichartz Estimates 44%
  • Kinetic Equation 39%
  • Duality Theorems 38%
  4 被引用数 (Scopus)
• 2017

  Ground states for semi-relativistic Schrödinger-Poisson-Slater energy

  Bellazzini, J., Ozawa, T. & Visciglia, N., 2017, In: Funkcialaj Ekvacioj. 60, 3, p. 353-369 17 p.

  研究成果: Article › 査読

  • Ground State 100%
  • Siméon Denis Poisson 74%
  • Energy 62%
  • Kinetic energy 27%
  • Lower bound 15%
  5 被引用数 (Scopus)

• Hardy type inequalities in L^p with sharp remainders

  Ioku, N., Ishiwata, M. & Ozawa, T., 2017 12月 1, In: Journal of Inequalities and Applications. 2017, 1, 5.

  研究成果: Article › 査読

  Open Access

  • Hardy-type Inequality 100%
  • Error term 77%
  • Nonexistence 33%
  • Equality 30%
  • Framework 22%
  14 被引用数 (Scopus)

• Lifespan of strong solutions to the periodic nonlinear Schrödinger equation without gauge invariance

  Fujiwara, K. & Ozawa, T., 2017 9月 1, In: Journal of Evolution Equations. 17, 3, p. 1023-1030 8 p.

  研究成果: Article › 査読

  • Gauge Invariance 100%
  • Life Span 77%
  • Strong Solution 62%
  • Nonlinear Equations 50%
  • Finite Time Blow-up 38%
  7 被引用数 (Scopus)

• Local well-posedness for an Ericksen-Leslie’s parabolic-hyperbolic compressible non-isothermal model for liquid crystals

  Fan, J. & Ozawa, T., 2017 9月 25, In: Electronic Journal of Differential Equations. 2017, 232.

  研究成果: Article › 査読

  • Liquid Crystal 100%
  • Nematic Liquid Crystal 99%
  • Local Well-posedness 86%
  • Model 24%
  2 被引用数 (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.

  研究成果: Article › 査読

  • Dissipative Operator 100%
  • Product Space 80%
  • Scalar, inner or dot product 70%
  • Framework 42%
  4 被引用数 (Scopus)

• Regularity criteria for navier-stokes and related system

  Fan, J. & Ozawa, T., 2017 1月 1, In: Differential and Integral Equations. 30, 1-2, p. 101-114 14 p.

  研究成果: Article › 査読

  • Regularity Criterion 100%
  • Navier-Stokes 85%
  • Interpolation Inequality 56%
  • Liquid Crystal 54%
  • Liquid crystals 51%
  3 被引用数 (Scopus)

• Remarks on the Rellich inequality

  Machihara, S., Ozawa, T. & Wadade, H., 2017 8月 1, In: Mathematische Zeitschrift. 286, 3-4, p. 1367-1373 7 p.

  研究成果: Article › 査読

  • Equality 100%
  • Nonexistence 55%
  • Imply 40%
  • Framework 36%
  17 被引用数 (Scopus)

• Short-range scattering of Hartree type fractional NLS II

  Cho, Y. & Ozawa, T., 2017 7月 1, In: Nonlinear Analysis, Theory, Methods and Applications. 157, p. 62-75 14 p.

  研究成果: Article › 査読

  • Scattering 100%
  • Fractional 76%
  • Leibniz' rule 75%
  • Range of data 65%
  • Weighted Spaces 53%
  6 被引用数 (Scopus)

• Uncertainty relations in the framework of equalities

  Ozawa, T. & Yuasa, K., 2017 1月 1, In: Journal of Mathematical Analysis and Applications. 445, 1, p. 998-1012 15 p.

  研究成果: Article › 査読

  Open Access

  • Uncertainty Relation 100%
  • Electric commutation 76%
  • Equality 52%
  • Uncertainty 42%
  • Framework 38%
  4 被引用数 (Scopus)
• 2016

  Analytic smoothing effect for the cubic hyperbolic schrödinger equation in two space dimensions

  Hoshino, G. & Ozawa, T., 2016 1月 25, In: Electronic Journal of Differential Equations. 2016

  研究成果: Article › 査読

  • Leibniz' rule 100%
  • Smoothing Effect 92%
  • Cubic equation 86%
  • Hyperbolic Equations 69%
  • Global Solution 65%
  2 被引用数 (Scopus)

• An improvement on the Brézis–Gallouët technique for 2D NLS and 1D half-wave equation

  Ozawa, T. & Visciglia, N., 2016 7月 1, In: Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire. 33, 4, p. 1069-1079 11 p.

  研究成果: Article › 査読

  • nonlinear evolution equations 100%
  • Wave equations 94%
  • Quartic 77%
  • wave equations 72%
  • Wave equation 63%
  16 被引用数 (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.

  研究成果: Article › 査読

  • Finite Time Blow-up 100%
  • Fourth-order Equations 99%
  • Blow-up of Solutions 95%
  • Nonlinearity 60%
  • Energy 55%
  12 被引用数 (Scopus)

• Finite time blowup of solutions to the nonlinear Schrödinger equation without gauge invariance

  Fujiwara, K. & Ozawa, T., 2016 8月 1, In: Journal of Mathematical Physics. 57, 8, 082103.

  研究成果: Article › 査読

  • Gauge Invariance 100%
  • Life Span 77%
  • Finite Time Blow-up 76%
  • gauge invariance 76%
  • Blow-up of Solutions 72%
  12 被引用数 (Scopus)

• On small data scattering of Hartree equations with short-range interaction

  Cho, Y., Hwang, G. & Ozawa, T., 2016 9月, In: Communications on Pure and Applied Analysis. 15, 5, p. 1809-1823 15 p.

  研究成果: Article › 査読

  Open Access

  • Hartree Equation 100%
  • Strichartz Estimates 88%
  • Scattering 64%
  • Interaction 49%
  • Range of data 42%
  8 被引用数 (Scopus)

• Regularity criteria for harmonic heat flow and related system

  Fan, J. & Ozawa, T., 2016 1月 1, In: Mathematische Nachrichten. 289, 1, p. 28-33 6 p.

  研究成果: Article › 査読

  • Regularity Criterion 100%
  • Heat Flow 99%
  • Harmonic 68%
  • Surface Growth 64%
  • Biharmonic 48%
  1 被引用数 (Scopus)

• Remarks on regularity criteria for harmonic heat flow and related system

  Fan, J. & Ozawa, T., 2016, In: International Journal of Mathematical Analysis. 10, 13-16, p. 749-755 7 p.

  研究成果: Article › 査読

  • Liquid Crystal 100%
  • Regularity Criterion 91%
  • Heat Flow 90%
  • Harmonic 63%
  • Model 24%

• Sharp lower bounds for Coulomb energy

  Bellazzini, J., Ghimenti, M. & Ozawa, T., 2016, In: Mathematical Research Letters. 23, 3, p. 621-632 12 p.

  研究成果: Article › 査読

  Open Access

  • Energy 100%
  • Lower bound 98%
  • Symmetric Functions 76%
  7 被引用数 (Scopus)

• Sharp remainder of a critical Hardy inequality

  Ioku, N., Ishiwata, M. & Ozawa, T., 2016 1月 1, In: Archiv der Mathematik. 106, 1, p. 65-71 7 p.

  研究成果: Article › 査読
  38 被引用数 (Scopus)

• Some sharp bilinear space-time estimates for the wave equation

  Bez, N., Jeavons, C. & Ozawa, T., 2016, In: Mathematika. 62, 3, p. 719-737 19 p.

  研究成果: Article › 査読

  • Space-time 100%
  • Wave equation 98%
  • Range of data 72%
  • Propagator 70%
  • Estimate 53%
  2 被引用数 (Scopus)

• 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%