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

• 2010

  Analytic smoothing effect for global solutions to nonlinear Schrödinger equations

  Ozawa, T. & Yamauchi, K., 2010 4月 15, In: Journal of Mathematical Analysis and Applications. 364, 2, p. 492-497 6 p.

  研究成果: Article › 査読

  • Smoothing Effect 100%
  • Nonlinear equations 82%
  • Invariance 80%
  • Global Solution 71%
  • Nonlinear Equations 61%
  18 被引用数 (Scopus)

• Global cauchy problem for the 2-D magnetohydrodynamic-α models with partial viscous terms

  Fan, J. & Ozawa, T., 2010 5月 1, In: Journal of Mathematical Fluid Mechanics. 12, 2, p. 306-319 14 p.

  研究成果: Article › 査読

  • Cauchy problem 100%
  • Magnetohydrodynamics 86%
  • magnetohydrodynamics 74%
  • Cauchy Problem 59%
  • Partial 50%
  24 被引用数 (Scopus)
• 2009

  Elliptic estimates independent of domain expansion

  Cho, Y., Ozawa, T. & Shim, Y. S., 2009 3月 1, In: Calculus of Variations and Partial Differential Equations. 34, 3, p. 321-339 19 p.

  研究成果: Article › 査読

  • Sobolev spaces 100%
  • Invariance 60%
  • Estimate 25%
  • Parabolic Systems 20%
  • Unbounded Domain 19%
  1 被引用数 (Scopus)

• Inequalities associated with dilations

  Ozawa, T. & Sasaki, H., 2009 4月, In: Communications in Contemporary Mathematics. 11, 2, p. 265-277 13 p.

  研究成果: Article › 査読

  • Dilation 100%
  • Operator 30%
  • Vanish 28%
  • Semigroup 24%
  • Generator 24%
  12 被引用数 (Scopus)

• Logarithmically improved regularity criteria for Navier-Stokes and related equations

  Fan, J. & Ozawa, T., 2009 11月 30, In: Mathematical Methods in the Applied Sciences. 32, 17, p. 2309-2318 10 p.

  研究成果: Article › 査読

  • Interpolation Inequality 99%
  • Maxwell System 91%
  • Regularity Criterion 87%
  • Heat Flow 86%
  • Navier-Stokes 74%
  14 被引用数 (Scopus)

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

  Fan, J. & Ozawa, T., 2009 11月, In: Discrete and Continuous Dynamical Systems. 25, 3, p. 859-867 9 p.

  研究成果: Article › 査読

  • Liquid Crystal 100%
  • Liquid crystals 95%
  • Regularity Criterion 91%
  • System Modeling 86%
  • Flow of fluids 66%
  11 被引用数 (Scopus)

• Regularity criteria for the 3D density-dependent Boussinesq equations

  Fan, J. & Ozawa, T., 2009 4月 27, In: Nonlinearity. 22, 3, p. 553-568 16 p.

  研究成果: Article › 査読

  • Regularity Criterion 100%
  • regularity 84%
  • Viscosity 66%
  • Dependent 54%
  • Strong Solution 26%
  48 被引用数 (Scopus)

• Regularity criterion for a Bona-Colin-Lannes system

  Fan, J. & Ozawa, T., 2009 10月 1, In: Nonlinear Analysis, Theory, Methods and Applications. 71, 7-8, p. 2634-2639 6 p.

  研究成果: Article › 査読

  • Regularity Criterion 100%
  • Byproducts 84%
  • Besov Spaces 42%
  • Smooth Solution 41%
  • Strong Solution 40%
  1 被引用数 (Scopus)

• Remarks on analytic smoothing effect for the Schrödinger equation

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

  研究成果: Article › 査読

  • Smoothing Effect 100%
  • Analyticity 54%
  • Cauchy 22%
  • Infinity 17%
  • Generalization 12%
  12 被引用数 (Scopus)

• Remarks on the semirelativistic Hartree equations

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

  研究成果: Article › 査読

  • Hartree Equation 100%
  • Strichartz Estimates 88%
  • Radial Functions 85%
  • Radial Solutions 83%
  • Weighted Estimates 82%
  19 被引用数 (Scopus)

• Sobolev inequalities with symmetry

  Cho, Y. & Ozawa, T., 2009 6月, In: Communications in Contemporary Mathematics. 11, 3, p. 355-365 11 p.

  研究成果: Article › 査読

  • Sobolev Inequality 100%
  • Compact Embedding 59%
  • Symmetry 58%
  • End point 47%
  • Besov Spaces 44%
  84 被引用数 (Scopus)

• Uniqueness of weak solutions to the cauchy problem for the 3-D time-dependent ginzburg-landau model for superconductivity

  Fan, J. & Ozawa, T., 2009 1月 1, In: Differential and Integral Equations. 22, 1-2, p. 27-34 8 p.

  研究成果: Article › 査読

  • Superconductivity 100%
  • Ginzburg-Landau Model 89%
  • Morrey Space 74%
  • 3D 69%
  • Gauge 68%
  3 被引用数 (Scopus)
• 2008

  A poisson formula for the Schrödinger operator

  Carles, R. & Ozawa, T., 2008 6月, In: Journal of Fourier Analysis and Applications. 14, 3, p. 475-483 9 p.

  研究成果: Article › 査読

  • Siméon Denis Poisson 100%
  • Nonlinearity 91%
  • Operator 58%
  • Range of data 51%
  • Wave Operator 50%

• Asymptotic stability for the Navier-Stokes equations

  Fan, J. & Ozawa, T., 2008 5月, In: Journal of Evolution Equations. 8, 2, p. 379-389 11 p.

  研究成果: Article › 査読

  • 3D 100%
  • Asymptotic Stability 84%
  • Weak Solution 77%
  • Navier-Stokes Equations 76%
  • Arbitrary 48%
  2 被引用数 (Scopus)

• Global existence of small classical solutions to nonlinear Schrödinger equations

  Ozawa, T. & Zhai, J., 2008, In: Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire. 25, 2, p. 303-311 9 p.

  研究成果: Article › 査読

  • Nonlinear equations 100%
  • Classical Solution 90%
  • nonlinear equations 87%
  • Global Existence 81%
  • Derivatives 76%
  18 被引用数 (Scopus)

• Nonlinear Schrödinger equation with a point defect

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

  研究成果: Article › 査読

  • Point Defects 100%
  • Point defects 98%
  • Delta functions 92%
  • Delta Function 75%
  • delta function 75%
  55 被引用数 (Scopus)

• On radial solutions of semi-relativistic Hartree equations

  Cho, Y. & Ozawa, T., 2008 3月, In: Discrete and Continuous Dynamical Systems - Series S. 1, 1, p. 71-82 12 p.

  研究成果: Article › 査読

  • Sobolev spaces 100%
  • Hartree Equation 82%
  • Large Data 71%
  • Radial Solutions 68%
  • Weighted Sobolev Spaces 31%
  10 被引用数 (Scopus)

• On the wave operators for the critical nonlinear Schrödinger equation

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

  研究成果: Article › 査読

  Open Access

  • Wave Operator 100%
  • Nonlinear Equations 65%
  • Fourier transform 23%
  • Similarity 23%
  • Derivative 16%
  5 被引用数 (Scopus)

• Regularity criterion for weak solutions to the Navier-Stokes equations in terms of the gradient of the pressure

  Fan, J. & Ozawa, T., 2008, In: Journal of Inequalities and Applications. 2008, 412678.

  研究成果: Article › 査読

  • Regularity Criterion 100%
  • Navier Stokes equations 80%
  • Weak Solution 67%
  • Navier-Stokes Equations 67%
  • Gradient 62%
  25 被引用数 (Scopus)
• 2007

  A generalization of the weighted strichartz estimates for wave equations and an application to self-similar solutions

  Kato, J., Nakamura, M. & Ozawa, T., 2007 2月, In: Communications on Pure and Applied Mathematics. 60, 2, p. 164-186 23 p.

  研究成果: Article › 査読

  • Strichartz Estimates 100%
  • Wave equations 98%
  • Weighted Estimates 93%
  • Self-similar Solutions 90%
  • Sobolev spaces 69%
  12 被引用数 (Scopus)

• Global solutions of semirelativistic hartree type equations

  Cho, Y. & Ozawa, T., 2007 9月, In: Journal of the Korean Mathematical Society. 44, 5, p. 1065-1078 14 p.

  研究成果: Article › 査読

  Open Access

  • Global Solution 100%
  • Scattering 48%
  • Global Existence 47%
  • Initial Value Problem 44%
  • Convolution 44%
  10 被引用数 (Scopus)

• On small amplitude solutions to the generalized boussinesq equations

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

  研究成果: Article › 査読

  • Modified Equations 97%
  • Nonlinear equations 95%
  • Generalized Equation 85%
  • Scattering 83%
  • Term 47%
  52 被引用数 (Scopus)
• 2006

  Global existence on nonlinear Schrödinger-IMBq equations

  Cho, Y. & Ozawa, T., 2006, In: Kyoto Journal of Mathematics. 46, 3, p. 535-552 18 p.

  研究成果: Article › 査読

  Open Access

  • Blow-up Criterion 100%
  • Global Existence 69%
  • Nonlinearity 57%
  • BMO Space 53%
  • Triebel-Lizorkin Space 48%
  5 被引用数 (Scopus)

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

  Fukuizumi, R. & Ozawa, T., 2006 2月 1, In: Journal of Differential Equations. 221, 1, p. 134-142 9 p.

  研究成果: Article › 査読

  • Sobolev spaces 100%
  • Weighted Sobolev Spaces 63%
  • Variational Approach 62%
  • Weight Function 52%
  • Decay 46%
  3 被引用数 (Scopus)

• On the semirelativistic Hartree-type equation

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

  研究成果: Article › 査読

  • Scattering Problems 100%
  • Asymptotic Behavior of Solutions 94%
  • Scattering 86%
  • Nonexistence 79%
  • Cauchy Problem 72%
  66 被引用数 (Scopus)

• Remarks on modified improved Boussinesq equations in one space dimension

  Cho, Y. & Ozawa, T., 2006, In: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 462, 2071, p. 1949-1963 15 p.

  研究成果: Article › 査読

  • Modified Equations 97%
  • One Dimension 85%
  • Scattering 83%
  • Cauchy 78%
  • Nonexistence 76%
  14 被引用数 (Scopus)

• Remarks on proofs of conservation laws for nonlinear Schrödinger equations

  Ozawa, T., 2006 3月, In: Calculus of Variations and Partial Differential Equations. 25, 3, p. 403-408 6 p.

  研究成果: Article › 査読

  • Gauge Invariance 100%
  • Control nonlinearities 85%
  • Nonlinear equations 68%
  • Invariance 67%
  • Charge 63%
  54 被引用数 (Scopus)
• 2005

  Analytic smoothing effect for solutions to schrödinger equations with nonlinearity of integral type

  Ozawa, T., Yamauchi, K. & Yamazaki, Y., 2005 12月 1, In: Osaka Journal of Mathematics. 42, 4, p. 737-750 14 p.

  研究成果: Article › 査読

  • Smoothing Effect 100%
  • Nonlinearity 55%
  • Exponential Type 44%
  • Cauchy 33%
  • Cauchy Problem 30%
  12 被引用数 (Scopus)

• Endpoint Strichartz estimates and global solutions for the nonlinear Dirac equation

  Machihara, S., Nakamura, M., Nakanishi, K. & Ozawa, T., 2005 2月 1, In: Journal of Functional Analysis. 219, 1, p. 1-20 20 p.

  研究成果: Article › 査読

  • Strichartz Estimates 100%
  • Polar coordinates 96%
  • Dirac Equation 95%
  • Klein-Gordon Equation 92%
  • Global Solution 73%
  74 被引用数 (Scopus)

• Exponential decay of solutions to nonlinear elliptic equations with potentials

  Fukuizumi, R. & Ozawa, T., 2005 11月, In: Zeitschrift fur Angewandte Mathematik und Physik. 56, 6, p. 1000-1011 12 p.

  研究成果: Article › 査読

  • Decay of Solutions 100%
  • Nonlinear Elliptic Equations 90%
  • Exponential Decay 82%
  • Harmonic Potential 57%
  • decay 45%
  11 被引用数 (Scopus)

• Sharp asymptotic behavior of solutions to nonlinear Schrödinger equations with repulsive interactions

  Kita, N. & Ozawa, T., 2005 4月, In: Communications in Contemporary Mathematics. 7, 2, p. 167-176 10 p.

  研究成果: Article › 査読

  • Large Time Behavior 100%
  • Nonlinear equations 96%
  • Asymptotic Behavior of Solutions 92%
  • Scattering 84%
  • Nonlinear Equations 71%
  5 被引用数 (Scopus)
• 2004

  On solutions of the wave equation with homogeneous Cauchy data

  Kato, J. & Ozawa, T., 2004 2月 1, In: Asymptotic Analysis. 37, 2, p. 93-107 15 p.

  研究成果: Article › 査読

  • Cauchy 100%
  • Wave equation 94%
  • Propagation of Singularities 80%
  • Self-similar Solutions 64%
  • Nonlinear Wave Equation 61%
  6 被引用数 (Scopus)

• Smoothing effect and large time behavior of solutions to Schrödinger equations with nonlinearity of integral type

  Ozawa, T. & Yamazaki, Y., 2004 8月, In: Communications in Contemporary Mathematics. 6, 4, p. 681-703 23 p.

  研究成果: Article › 査読

  • Smoothing Effect 100%
  • Large Time Behavior 85%
  • Nonlinear equations 82%
  • Behavior of Solutions 77%
  • Scattering 71%
  1 被引用数 (Scopus)

• Weighted Strichartz estimates for the wave equation in even space dimensions

  Kato, J. & Ozawa, T., 2004 8月, In: Mathematische Zeitschrift. 247, 4, p. 747-764 18 p.

  研究成果: Article › 査読

  • Strichartz Estimates 100%
  • Weighted Estimates 93%
  • Wave equation 65%
  • Huygens' Principle 23%
  • Odd 22%
  5 被引用数 (Scopus)
• 2003

  Interpolation inequalities in Besov spaces

  Machihara, S. & Ozawa, T., 2003 5月, In: Proceedings of the American Mathematical Society. 131, 5, p. 1553-1556 4 p.

  研究成果: Article › 査読

  • Interpolation Inequality 100%
  • Besov Spaces 74%
  • Homogeneous Space 72%
  • Interpolation 60%
  98 被引用数 (Scopus)

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

  Ozawa, T. & Yamazaki, Y., 2003 11月, In: Nonlinearity. 16, 6, p. 2029-2034 6 p.

  研究成果: Article › 査読

  • life span 100%
  • Complex Ginzburg-Landau Equation 89%
  • Integral Means 84%
  • Landau-Ginzburg equations 80%
  • Life Span 80%
  10 被引用数 (Scopus)

• Small global solutions and the nonrelativistic limit for the nonlinear Dirac equation

  Machihara, S., Nakanishi, K. & Ozawa, T., 2003, In: Revista Matematica Iberoamericana. 19, 1, p. 179-194 16 p.

  研究成果: Article › 査読

  Open Access

  • Dirac Equation 81%
  • Global Solution 62%
  • Nonlinear Equations 53%
  • Strichartz Estimates 28%
  • Modulation 26%
  44 被引用数 (Scopus)

• Weighted Strichartz Estimates and Existence of Self-similar Solutions for Semilinear Wave Equations

  Kato, J. & Ozawa, T., 2003, In: Indiana University Mathematics Journal. 52, 6, p. 1615-1630 16 p.

  研究成果: Article › 査読

  • Strichartz Estimates 100%
  • Semilinear Wave Equation 95%
  • Weighted Estimates 93%
  • Self-similar Solutions 90%
  • Odd 37%
  10 被引用数 (Scopus)
• 2002

  Global solutions for nonlinear schrödinger equations with arbitrarily growing nonlinearity and contracted initial data

  Nakanishi, K. & Ozawa, T., 2002, In: Kyushu Journal of Mathematics. 56, 1, p. 221-224 4 p.

  研究成果: Article › 査読

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

  Machihara, S., Nakanishi, K. & Ozawa, T., 2002 12月 1, In: Mathematische Annalen. 322, 3, p. 603-621 19 p.

  研究成果: Article › 査読

  • Nonlinear Klein-Gordon Equation 87%
  • Energy 44%
  • Optimal Rate of Convergence 39%
  • Nonlinear Equations 26%
  • Cauchy Problem 26%
  82 被引用数 (Scopus)

• Remarks on scattering for nonlinear Schrödinger equations

  Nakanishi, K. & Ozawa, T., 2002 12月 1, In: Nonlinear Differential Equations and Applications. 9, 1, p. 45-68 24 p.

  研究成果: Article › 査読

  • Sobolev spaces 100%
  • Nonlinear equations 60%
  • Scattering 53%
  • Nonlinear Equations 45%
  • Maximal Regularity 36%
  61 被引用数 (Scopus)
• 2001

  Small solutions to nonlinear wave equations in the Sobolev spaces

  Nakamura, M. & Ozawa, T., 2001 12月 1, In: Houston Journal of Mathematics. 27, 3, p. 613-632 20 p.

  研究成果: Article › 査読

  • Small Solutions 100%
  • Nonlinear Wave Equation 85%
  • Sobolev Spaces 67%
  • Homogeneous Space 39%
  • Fractional Order 36%

• The Cauchy Problem for Nonlinear Klein-Gordon Equations in the Sobolev Spaces

  Nakamura, M. & Ozawa, T., 2001, In: Publications of the Research Institute for Mathematical Sciences. 37, 3, p. 255-293 39 p.

  研究成果: Article › 査読

  • Nonlinear Klein-Gordon Equation 100%
  • Sobolev Spaces 66%
  • Cauchy Problem 60%
  • Exponential Growth 41%
  • Cauchy 33%
  25 被引用数 (Scopus)
• 2000

  Small solutions to nonlinear Schrödinger equations in the Sobolev spaces

  Nakamura, M. & Ozawa, T., 2000 1月 1, In: Journal d'Analyse Mathematique. 81, p. 305-329 25 p.

  研究成果: Article › 査読

  • Small Solutions 100%
  • Sobolev Spaces 67%
  • Nonlinear Equations 62%
  • Fractional Order 36%
  • Cauchy 34%
  6 被引用数 (Scopus)
• 1999

  Global solutions in the critical Sobolev space for the wave equations with nonlinearity of exponential growth

  Nakamura, M. & Ozawa, T., 1999 7月, In: Mathematische Zeitschrift. 231, 3, p. 479-487 9 p.

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

• The Cauchy problem for nonlinear wave equations in the sobolev space of critical order

  Nakamura, M. & Ozawa, T., 1999 1月, In: Discrete and Continuous Dynamical Systems. 5, 1, p. 215-231 17 p.

  研究成果: Article › 査読

  Open Access

  • Sobolev spaces 100%
  • Wave equations 71%
  • Exponential Type 65%
  • Nonlinear Wave Equation 62%
  • Sobolev Spaces 49%
  11 被引用数 (Scopus)

• Well-posedness in energy space for the Cauchy problem of the Klein-Gordon-Zakharov equations with different propagation speeds in three space dimensions

  Ozawa, T., Tsutaya, K. & Tsutsumi, Y., 1999 1月, In: Mathematische Annalen. 313, 1, p. 127-140 14 p.

  研究成果: Article › 査読
  52 被引用数 (Scopus)
• 1998

  Nonlinear Schrödinger Equations in the Sobolev Space of Critical Order

  Nakamura, M. & Ozawa, T., 1998 6月 1, In: Journal of Functional Analysis. 155, 2, p. 364-380 17 p.

  研究成果: Article › 査読

  • Sobolev Spaces 100%
  • Nonlinear Equations 92%
  • Interaction 82%
  • Exponential Type 66%
  • Cauchy 51%
  81 被引用数 (Scopus)

• Scattering theory for the Hartree equation

  Hayashi, N., Naumkin, P. I. & Ozawa, T., 1998 9月, In: SIAM Journal on Mathematical Analysis. 29, 5, p. 1256-1267 12 p.

  研究成果: Article › 査読

  • Sobolev spaces 100%
  • Hartree Equation 82%
  • Scattering Theory 66%
  • Weighted Sobolev Spaces 63%
  • Scattering Problems 61%
  27 被引用数 (Scopus)
• 1997

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

  Nakamura, M. & Ozawa, T., 1997 4月, In: Reviews in Mathematical Physics. 9, 3, p. 397-410 14 p.

  研究成果: Article › 査読

  • Sobolev space 100%
  • norms 65%
  • Fractional Order 56%
  • nonlinear equations 56%
  • Scattering 54%
  23 被引用数 (Scopus)