小薗 英雄

研究成果

年別の研究成果 1985 1998 2009 2010 2012 2013 2017 2018 2019 2021 2023

• 99 Article
• 4 Editorial
• 3 Chapter
• 1 Conference contribution

年別の研究成果

年別の研究成果

検索結果

• 1985

  On existence and uniqueness of a global classical solution of the two-dimensional Euler equation in a time-dependent domain

  Kozono, H., 1985 4月, In: Journal of Differential Equations. 57, 2, p. 275-302 28 p.

  研究成果: Article › 査読
  7 被引用数 (Scopus)
• 1987

  On a decay property of weak solution for semilinear evolution equation of parabolic type and its applications

  Kozono, H., 1987 3月 1, In: Mathematische Zeitschrift. 196, 1, p. 21-38 18 p.

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

• On the energy decay of a weak solution of the M. H. D. Equations in a three-dimensional exterior domain

  Kozono, H., 1987 6月, In: Hokkaido Mathematical Journal. 16, 2, p. 151-166 16 p.

  研究成果: Article › 査読
  6 被引用数 (Scopus)
• 1989

  Global Lⁿ-solution and its decay property for the Navier-Stokes equations in half-space R₊ⁿ

  Kozono, H., 1989 5月, In: Journal of Differential Equations. 79, 1, p. 79-88 10 p.

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

• On asymptotic stability for the Yang-Mills gradient flow

  Kozono, H. & Maeda, Y., 1989 12月, In: Tokyo Journal of Mathematics. 12, 2, p. 387-413 27 p.

  研究成果: Article › 査読

  Open Access

• Weak and classical solutions of the twodimensional magnetohydrodynamic equations

  Kozono, H., 1989 9月, In: Tohoku Mathematical Journal. 41, 3, p. 471-488 18 p.

  研究成果: Article › 査読
  55 被引用数 (Scopus)
• 1990

  A stable manifold theorem for the Yang-Mills gradient flow

  Naito, H., Kozono, H. & Maeda, Y., 1990 3月, In: Tohoku Mathematical Journal. 42, 1, p. 45-66 22 p.

  研究成果: Article › 査読

  Open Access
  2 被引用数 (Scopus)

• Relative bounds of closable operators in non-reflexive Banach spaces

  Kozono, H. & Ozawa, T., 1990 6月, In: Hokkaido Mathematical Journal. 19, 2, p. 241-248 8 p.

  研究成果: Article › 査読

  Open Access
  1 被引用数 (Scopus)

• Stability in L^r for the Navier-Stokes flow in an n-dimensional bounded domain

  Kozono, H. & Ozawa, T., 1990 10月, In: Journal of Mathematical Analysis and Applications. 152, 1, p. 35-45 11 p.

  研究成果: Article › 査読
  4 被引用数 (Scopus)
• 1992

  Asymptotic behaviour in L ^r for weak solutions of the Navier-Stokes equations in exterior domains

  Kozono, H., Ogawa, T. & Sohr, H., 1992 12月 1, In: Manuscripta Mathematica. 74, 1, p. 253-275 23 p.

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

• Density properties for solenoidal vector fields, with applications to the Navier-Stokes equations in exterior domains

  Kozono, H. & Sohr, H., 1992 4月, In: Journal of the Mathematical Society of Japan. 44, 2, p. 307-330 24 p.

  研究成果: Article › 査読
  10 被引用数 (Scopus)
• 1993

  Decay properties of strong solutions for the navier-stokes equations in two-dimensional unbounded domains

  Kozono, H. & Ogawa, T., 1993 5月 1, In: Archive for Rational Mechanics and Analysis. 122, 1, p. 1-17 17 p.

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

• Two-dimensional Navier-Stokes flow in unbounded domains

  Kozono, H. & Ogawa, T., 1993 9月 1, In: Mathematische Annalen. 297, 1, p. 1-31 31 p.

  研究成果: Article › 査読
  36 被引用数 (Scopus)
• 1994

  Global strong solution and its decay properties for the Navier-Stokes equations in three dimensional domains with non-compact boundaries

  Kozono, H. & Ogawa, T., 1994 5月 1, In: Mathematische Zeitschrift. 216, 1, p. 1-30 30 p.

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

• On stability of Navier-Stokes flows in exterior domains

  Kozono, H. & Ogawa, T., 1994 3月, In: Archive for Rational Mechanics and Analysis. 128, 1, p. 1-31 31 p.

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

• Semilinear heat equations and the navier-stokes equation with distributions in new function spaces as initial data

  Kozono, H. & Yamazaki, M., 1994 1月 1, In: Communications in Partial Differential Equations. 19, 5-6, p. 959-1014 56 p.

  研究成果: Article › 査読
  210 被引用数 (Scopus)
• 1995

  Global solution for the Yang-Mills gradient flow on 4-manifolds

  Kozono, H., Maeda, Y. & Naito, H., 1995 9月, In: Nagoya Mathematical Journal. 139, p. 93-128 36 p.

  研究成果: Article › 査読

  Open Access
  6 被引用数 (Scopus)
• 1996

  Periodic solutions of the navier-stokes equations in unbounded domains

  Kozono, H. & Nakao, M., 1996 1月 1, In: Tohoku Mathematical Journal. 48, 1, p. 33-50 18 p.

  研究成果: Article › 査読

  Open Access

  • Unbounded Domain 100%
  • Strong Solution 96%
  • Navier-Stokes Equations 80%
  • Periodic Solution 77%
  73 被引用数 (Scopus)

• Remark on uniqueness of weak solutions to the navier-stokes equations

  Kozono, H. & Sohr, H., 1996 1月 1, In: Analysis (Germany). 16, 3, p. 255-272 18 p.

  研究成果: Article › 査読

  • Navier Stokes equations 100%
  • Weak Solution 83%
  • Navier-Stokes Equations 83%
  • Energy Inequality 66%
  21 被引用数 (Scopus)
• 1997

  Regularity criterion on weak solutions to the navier-stokes equations

  Kozono, H. & Sohr, H., 1997 12月 1, In: Advances in Differential Equations. 2, 4, p. 535-554 20 p.

  研究成果: Article › 査読

  • Regularity Criterion 100%
  • Navier Stokes equations 80%
  • Weak Solution 67%
  • Navier-Stokes Equations 67%
  • Weak Limit 49%
  35 被引用数 (Scopus)

• Representation formula, net force and energy relation to the stationary navier-stokes equations in 3-dimensional exterior domains

  Kozono, H., Sohr, H. & Yamazaki, M., 1997, In: Kyushu Journal of Mathematics. 51, 1, p. 239-260 22 p.

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

  A Yang-Mills-Higgs gradient flow on R³ blowing up at infinity

  Kozono, H., Maeda, Y. & Naito, H., 1998, In: Proceedings of the Japan Academy Series A: Mathematical Sciences. 74, 5, p. 71-73 3 p.

  研究成果: Article › 査読

  Open Access
  1 被引用数 (Scopus)

• Exterior problem for the stationary Navier-Stokes equations in the Lorentz space

  Kozono, H. & Yamazaki, M., 1998 2月, In: Mathematische Annalen. 310, 2, p. 279-305 27 p.

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

• L¹-solutions of the Navier-Stokes equations in exterior domains

  Kozono, H., 1998 10月, In: Mathematische Annalen. 312, 2, p. 319-340 22 p.

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

• On a larger class of stable solutions to the Navier-Stokes equations in exterior domains

  Kozono, H. & Yamazaki, M., 1998 8月, In: Mathematische Zeitschrift. 228, 4, p. 751-785 35 p.

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

• Removable singularities of weak solutions to the Navier-Stokes equations

  Kozono, H., 1998 1月 1, In: Communications in Partial Differential Equations. 23, 5-6, p. 949-966 18 p.

  研究成果: Article › 査読

  • Removable Singularity 100%
  • Navier Stokes equations 70%
  • Weak Solution 59%
  • Navier-Stokes Equations 59%
  • Space-time 30%
  14 被引用数 (Scopus)
• 1999

  Global strong solution of the Navier-Stokes equations in 4 and 5 dimensional unbounded domains

  Kozono, H. & Sohr, H., 1999 9月 10, In: Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire. 16, 5, p. 535-561 27 p.

  研究成果: Article › 査読

  Open Access

  • Unbounded Domain 100%
  • Strong Solution 96%
  • Navier Stokes equations 96%
  • Navier-Stokes equation 95%
  • Navier-Stokes Equations 80%

• Uniqueness criterion of weak solutions to the stationary Navier-Stokes equations in exterior domains

  Kozono, H. & Yamazaki, M., 1999 12月, In: Nonlinear Analysis, Theory, Methods and Applications. 38, 8, p. 959-970 12 p.

  研究成果: Article › 査読

  • Stationary Navier-Stokes Equations 100%
  • Exterior Domain 83%
  • Navier Stokes equations 72%
  • Weak Solution 60%
  • Boundary value problems 40%
  37 被引用数 (Scopus)
• 2000

  Asymptotic Stability of Large Solutions with Large Perturbation to the Navier-Stokes Equations

  Kozono, H., 2000 10月 1, In: Journal of Functional Analysis. 176, 2, p. 153-197 45 p.

  研究成果: Article › 査読

  • Energy Inequality 100%
  • Large Solutions 99%
  • Unbounded Domain 77%
  • Disturbance 72%
  • Asymptotic Stability 69%
  22 被引用数 (Scopus)

• Bilinear estimates in BMO and the Navier-Stokes equations

  Kozono, H. & Taniuchi, Y., 2000 9月, In: Mathematische Zeitschrift. 235, 1, p. 173-194 22 p.

  研究成果: Article › 査読

  • Bilinear Estimates 100%
  • Vorticity 70%
  • Smooth Solution 69%
  • Blow-up 60%
  • Weak Solution 56%
  195 被引用数 (Scopus)

• Limiting case of the Sobolev inequality in BMO, with application to the Euler equations

  Kozono, H. & Taniuchi, Y., 2000 10月, In: Communications in Mathematical Physics. 214, 1, p. 191-200 10 p.

  研究成果: Article › 査読

  • Logarithmic Sobolev Inequality 100%
  • Blow-up Criterion 98%
  • Sobolev Inequality 90%
  • norms 84%
  • Critical Exponents 82%
  158 被引用数 (Scopus)
• 2001

  Rapid time-decay and net force to the obstacles by the Stokes flow in exterior domains

  Kozono, H., 2001, In: Mathematische Annalen. 320, 4, p. 709-730 22 p.

  研究成果: Article › 査読

  • Stokes Flow 100%
  • Exterior Domain 97%
  • Stokes Equations 96%
  • Decay Rate 87%
  • Decay 71%
  15 被引用数 (Scopus)

• Weak solutions of the navier-stokes equations with test functions in the weak-L″ space

  Kozono, H., 2001, In: Tohoku Mathematical Journal. 53, 1, p. 55-79 25 p.

  研究成果: Article › 査読

  Open Access

  • L-space 100%
  • Existence of Weak Solutions 84%
  • Weak Solution 62%
  • Navier-Stokes Equations 62%
  • Cover 55%
  3 被引用数 (Scopus)

• Well-posedness for the Benjamin equations

  Kozono, H., Ogawa, T. & Tanisaka, H., 2001 12月 1, In: Journal of the Korean Mathematical Society. 38, 6, p. 1205-1234 30 p.

  研究成果: Article › 査読

  • Well-posedness 100%
  • Vega 83%
  • Local Well-posedness 65%
  • Sobolev Spaces 49%
  • Initial Value Problem 47%
  9 被引用数 (Scopus)
• 2002

  The critical Sobolev inequalities in Besov spaces and regularity criterion to some semi-linear evolution equations

  Kozono, H., Ogawa, T. & Taniuchi, Y., 2002 12月 1, In: Mathematische Zeitschrift. 242, 2, p. 251-278 28 p.

  研究成果: Article › 査読

  • Semilinear Evolution Equation 100%
  • Regularity Criterion 88%
  • Sobolev Inequality 84%
  • Besov Spaces 75%
  • Gradient Flow 42%
  230 被引用数 (Scopus)

• The Stokes problem for Lipschitz domains

  Choe, H. J. & Kozono, H., 2002 1月 1, In: Indiana University Mathematics Journal. 51, 5, p. 1235-1260 26 p.

  研究成果: Article › 査読

  • Lipschitz Domains 100%
  • Stokes Problem 95%
  • Stokes Equations 93%
  • Initial-boundary-value Problem 74%
  • Existence of Solutions 67%
  7 被引用数 (Scopus)
• 2003

  Navier-Stokes Equations in the Besov Space Near L^∞ and BMO

  Kozono, H., Ogawa, T. & Taniuchi, Y., 2003, In: Kyushu Journal of Mathematics. 57, 2, p. 303-324 22 p.

  研究成果: Article › 査読

  • Besov Spaces 100%
  • Navier-Stokes Equations 79%
  • Local Solution 53%
  • Local Existence 52%
  • Vorticity 49%
  60 被引用数 (Scopus)
• 2004

  Bilinear estimates in homogeneous Triebel-Lizorkin spaces and the Navier-Stokes equations

  Kozono, H. & Shimada, Y., 2004 1月 1, In: Mathematische Nachrichten. 276, p. 63-74 12 p.

  研究成果: Article › 査読

  • Bilinear Estimates 100%
  • Triebel-Lizorkin Space 85%
  • Continuation Theorem 84%
  • Homogeneous Space 69%
  • Strong Solution 67%
  68 被引用数 (Scopus)

• Extension criterion via two-components of vorticity on strong solutions to the 3 D Navier-Stokes equations

  Kozono, H. & Yatsu, N., 2004 1月 1, In: Mathematische Zeitschrift. 246, 1-2, p. 55-68 14 p.

  研究成果: Article › 査読

  • 3D 100%
  • Vorticity 95%
  • Strong Solution 92%
  • Navier-Stokes Equations 76%
  • Regularity Criterion 57%
  34 被引用数 (Scopus)

• Interior regularity criteria in weak spaces for the Navier-Stokes equations

  Kim, H. & Kozono, H., 2004 9月 1, In: Manuscripta Mathematica. 115, 1, p. 85-100 16 p.

  研究成果: Article › 査読

  • Regularity Criterion 100%
  • Weak Solution 67%
  • Navier-Stokes Equations 67%
  • Interior 66%
  • Incompressible Navier-Stokes Equations 43%
  34 被引用数 (Scopus)
• 2005

  An L^q-approach to Stokes and Navier-Stokes equations in general domains

  Farwig, R., Kozono, H. & Sohr, H., 2005, In: Acta Mathematica. 195, 1, p. 21-53 33 p.

  研究成果: Article › 査読
  106 被引用数 (Scopus)
• 2006

  A removable isolated singularity theorem for the stationary Navier-Stokes equations

  Kim, H. & Kozono, H., 2006 1月 1, In: Journal of Differential Equations. 220, 1, p. 68-84 17 p.

  研究成果: Article › 査読

  • Removable Singularity 100%
  • Stationary Navier-Stokes Equations 97%
  • Isolated Singularity 84%
  • Byproducts 74%
  • Smooth Solution 72%
  28 被引用数 (Scopus)

• Upper bound of the best constant of a trudinger-moser inequality and its application to A Gagliardo-Nirenberg inequality

  Kozono, H., Sato, T. & Wadade, H., 2006 12月 1, In: Indiana University Mathematics Journal. 55, 6, p. 1951-1974 24 p.

  研究成果: Article › 査読

  • Trudinger-Moser Inequality 100%
  • Gagliardo-Nirenberg Inequalities 97%
  • Best Constants 78%
  • Upper bound 44%
  • Hubert Space 25%
  64 被引用数 (Scopus)
• 2007

  Local in time regularity properties of the Navier-Stokes equations

  Farwig, R., Kozono, H. & Sohr, H., 2007, In: Indiana University Mathematics Journal. 56, 5, p. 2111-2131 21 p.

  研究成果: Article › 査読

  • Global Regularity 100%
  • Regularity Properties 88%
  • Navier-Stokes Equations 67%
  • Regularity Conditions 39%
  • Weak Solution 33%
  16 被引用数 (Scopus)

• On the Helmholtz decomposition in general unbounded domains

  Farwig, R., Kozono, H. & Sohr, H., 2007 3月 1, In: Archiv der Mathematik. 88, 3, p. 239-248 10 p.

  研究成果: Article › 査読

  • Helmholtz Decomposition 100%
  • Unbounded Domain 72%
  • Stokes Operator 48%
  • Hermann Von Helmholtz 40%
  • n-dimensional 28%
  45 被引用数 (Scopus)

• Very weak solutions of the Navier-Stokes equations in exterior domains with nonhomogeneous data

  Farwig, R., Kozono, H. & Sohr, H., 2007 1月, In: Journal of the Mathematical Society of Japan. 59, 1, p. 127-150 24 p.

  研究成果: Article › 査読

  • Very Weak Solutions 100%
  • Exterior Domain 79%
  • Navier-Stokes Equations 58%
  • Trace Theorem 50%
  • Differentiability 34%
  32 被引用数 (Scopus)
• 2008

  Local existence and finite time blow-up of solutions in the 2-D Keller-Segel system

  Kozono, H. & Sugiyama, Y., 2008 5月, In: Journal of Evolution Equations. 8, 2, p. 353-378 26 p.

  研究成果: Article › 査読

  • Finite Time Blow-up 100%
  • Blow-up of Solutions 95%
  • Local Existence 90%
  • Mild Solution 86%
  • Blow-up Rate 51%
  35 被引用数 (Scopus)

• Remarks on Gagliardo-Nirenberg type inequality with critical Sobolev space and BMO

  Kozono, H. & Wadade, H., 2008 8月, In: Mathematische Zeitschrift. 259, 4, p. 935-950 16 p.

  研究成果: Article › 査読

  • Gagliardo-Nirenberg Inequalities 100%
  • Homogeneous Space 71%
  • Sobolev Spaces 61%
  • Generalization 35%
  37 被引用数 (Scopus)

• The Keller-Segel system of parabolic-parabolic type with initial data in weak L^n/2(ℝⁿ) and its application to self-similar solutions

  Kozono, H. & Sugiyama, Y., 2008, In: Indiana University Mathematics Journal. 57, 4, p. 1467-1500 34 p.

  研究成果: Article › 査読

  • Self-similar Solutions 100%
  • Strong Solution 85%
  • Heat Semigroup 58%
  • Smoothing Effect 56%
  • Laplace Operator 45%
  36 被引用数 (Scopus)
• 2009

  Energy-based regularity criteria for the Navier-Stokes equations

  Farwig, R., Kozono, H. & Sohr, H., 2009 10月, In: Journal of Mathematical Fluid Mechanics. 11, 3, p. 428-442 15 p.

  研究成果: Article › 査読

  • Regularity Criterion 100%
  • Kinetic energy 86%
  • regularity 84%
  • Navier Stokes equations 80%
  • Navier-Stokes equation 79%
  11 被引用数 (Scopus)