Publication list by Takayoshi Ogawa

Here is my current list of papers.
  1. A proof of Trudinger's inequality and its application to nonlinear Schroedinger equations, Nonlinear Anal. T.M.A. 14, (1990), 765-769.
  2. (-Y. Tsutsumi) Blow-up of solutions for the nonlinear Schroedinger equation with quartic potential and periodic boundary condition in "Functional-Analytic Methods for Partial Differential Equations" Springer Lecture Notes in Math. 1450, Springer-Verlag, 1990, pp.236-251.
  3. (K. Kurata-) Remarks on blow-up of solutions for some nonlinear Schroedinger equations, Tokyo J. Math. 13 (1990), 399-419.
  4. (-Y. Tsutsumi) Blow-up of H^1 solution for the one dimensional nonlinear Schr\"odinger equation with critical power nonlinearity, Proc. A.M.S., 111 (1991), 487-496.
  5. (-Y. Tsutsumi) Blow-up of H^1 solution for the nonlinear Schroedinger equation, J. Differential Equations, 92 (1991), 317-330.
  6. (-T. Ozawa) Trudinger type inequality and uniqueness of weak solutions for the nonlinear Schroedinger mixed problem, J. Math. Anal. Appl., 155 (1991), 531-540.
  7. (Y. Tsutsumi-) L^2 solution for the initial boundary value problem of the Korteweg-de Vries equation with periodic boundary condition in "Nonlinear PDE Japan Symposium 1989" Lecture Notes in Num. Appl. Anal., Vol 11, 1991, pp. 187-202.
  8. (H. Kozono-, -Hermann Sohr) Asymptotic behavior in L^r for turbulent solutions of Navier-Stokes equations in exterior domains, Manuscripta Math. 74 (1992), 253-275.
  9. (H. Kozono-) Some L^p estimate for the exterior Stokes flow and an application to the nonstationary Navier-Stokes equations, Indiana Univ. Math. J. 41 (1992), 789-808.
  10. (H. Kozono-) Two-dimensional Navier-Stokes flow in unbounded domains, Math. Ann., 297 (1993), 1-32.
  11. (H. Kozono-) Decay properties of strong solutions for the Navier-Stokes equations in two-dimensional unbounded domains, Arch. Rational Mech. Anal.122, (1993), 1-17.
  12. (-T. Suzuki) Trudinger's inequality and related nonlinear elliptic equations in two dimension, in Advanced Studies Pure Math., 23 (1994), "Spectral and Scattering Theory and Applications", 283-294.
  13. (H. Kozono-) Global strong solution and its decay properties for the Navier-Stokes equations in three dimensional domains with noncompact boundaries, Math. Z. 216 (1994), 1-31.
  14. (H. Kozono-) On stability of the Navier-Stokes flow in exterior domains, Arch. Rat. Mech. Anal., 128 (1994), 1-31.
  15. (-T. Suzuki) Microscopic asymptotics for solution of some semilinear elliptic equations, Nagoya J. Math., 138 (1995), 33-50.
  16. (-T. Suzuki) Nonlinear elliptic equations with the critical growth related to the Trudinger inequality, Asymptotic Anal., 12 (1996), 25-40.
  17. (D. Bekiranov, - G. Ponce) On the well-posedness of Benney's interaction equation of short and log waves, Advances in Diff. Eqs. 1 (1996), 919-937.
  18. (-S. Rajopadhye and M. Schonbek) Energy decay for a weak solution of the Navier-Stokes eqatuions with slowly varying external forces, J. Funct. Anal. 144 (1997),.
  19. Global well-posedness and conservation laws for the water wave interaction equation, Proc. Roy. Soc. Edinburgh, 127A (1997),.
  20. (D. Bekiranov-, G. Ponce) Weak solvability and well-posedness of a coupled Schr\"odinger-Korteweg de Vries equation for capillary-gravity wave interactions, Proc. A.M.S. 125 no. 10 (1997), 2907-2919.
  21. (D. Bekiranov-, G. Ponce) Interaction equation of short and long dispersive waves, J. Funct. Anal. 158 no.2 (1998), 357-388.
  22. (-T. Suzuki) Two dimensional elliptic equation with critical nonlinear growth, Trans. Ameri. Math. Soc., 350 no.12 (1998), 4897-4918.
  23. (K. Kato-) Analiticity and smoothing effect for the Korteweg-de Vries equation with a single point singularity. Math. Ann. 316, (2000), 577-608.
  24. (-Y. Taniuchi) Remarks on uniqueness and blow-up criterion to the Euler equations in the generalized Besov spaces. J. Koeran Math. Soc. 37 (2000), 1007-1020.
  25. (H. Kozono, - Y. Tanisaka) Well-posedness for the Benjamin equations, J. Korean Math. Soc. 38 no. 6 (2001), 1205--1234.
  26. (H.Kozono,- Y. Taniuchi) The critical Sobolev inequalities in Besov spaces and regularity criterion to some semi-liner evolution equations, Math. Z. 242 (2002), 251-278.
  27. (E.Kaikina, K.Kato, P.Naumkin, -) Wellposedness and analytic smoothing effect for the Benjamin-Ono equations, Publ. Res. Inst. Math. Sci. 38 (2002), 651-691.
  28. Analytic smoothing effect for the Benjamin-Ono equation, in ``Tosio Kato's Method and Principle for Evolution Equations in Mathematical Physics" H. Fujita, S.T.Kuroda, H. Okamoto Eds, Yurinsha, Tokyo, 2002, pp 113-126.
  29. A note on blow-up criterion to the 3-D Euler equations in a bounded domain, (- Y.Taniuchi) J. Math. Fluid Mech. 5 (2003), 17--23.
  30. Finite time blow-up of the solution for the nonlinear parabolic equation of the drift diffusion type, (M. Kurokiba -) Diff. Integral Equations, 16 no. 4 (2003), 427-452.
  31. On blow-up criteria of smooth solution to the 3-D Euler equations in a bounded domain, (- Y.Taniuchi) J. Differential Equations 190 (2003), 39-63.
  32. Sharp Sobolev inequality of logarithmic type and the limiting regularity criterion to the harmonic heat flow, SIAM J. Math. Anal. 34 no. 8 (2003), 1317-1329.
  33. The limitting uniqueness criterion by velocity to Navier-Stokes equations in Besov spaces, (- Y.Taniuchi), Tohoku Math. J. 56 (2004), 65-78.
  34. Uniquness and inviscid limit to the complex Ginzburg-Landau equation in two dimensional general domain, (- T. Yokota), Comm. Math. Phys. 245 (2004), 105-121.
  35. L^p-L^q type estimate for the semi-linear dumped wave equation in two dimensions, (T.Hosono-) J. Differential Equations, 203 (2004), 82-118.
  36. Convergence of the approximation scheme of the motion by mean curvature in the Bence-Meriiman-Osher algorithm, (Y.Goto, K.Ishii-) Comm. Pure Appl. Anal. 4 (2005), 311-339.
  37. The uniform boundedness of the radial solution for drift-diffusion system. (Masaki Kurokiba, Toshitaka Nagai -) Comm. Pure Appl. Anal., 5 (2006), 97-106.

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