List of Publications

  1. On the Cauchy Problem for hyperbolic operators with double characteristics whose principal parts have time dependent coefficients, Funkcialaj Ekvacioj 63 (2020), 345-418
  2. On the Cauchy problem for a class of hyperbolic operators whose coefficients depend only on the time variable, Tsukuba J. Math.　39-1 (2015), 121-163
  3. Singularities of solutions to the Cauchy problem for a class of second-order hyperbolic operators, Funkcialaj Ekvacioj 57 (2014), 375-448
  4. On the Cauchy problem for second-order hyperbolic operators with the coefficients of their principal parts depending only on the time variable, Funkcialaj Ekvacioj 55 (2012), 99-136
  5. On the Cauchy problem for hyperbolic operators of second order whose coefficients depend only on the time variable, J. Math. Soc. Japan 62-1 (2010), 95-133
  6. On the Cauchy problem for hyperbolic operators with nearly constant coefficient principal part, Funkcialaj Ekvacioj 51 (2008), 395-430
  7. Remarks on hyperbolic systems of first order with constant coefficient characterristic polynomials, Osaka J. Math. 44 (2007), 363-397
  8. Remarks on solvability of pseudo-differential operators in the space of hyperfunctions, J. Math. Sci. Univ. Tokyo 13 (2006), 595-616
  9. Remarks on first order hyperbolic systems with constant coefficient principal part, Annali Universita di Ferrara 52 (2006), 471-482
  10. Local solvability of operators with principal symbol ξ12 +…+ξn-12 +xn2ξn2 in the spaces of distributions and ultradistributions, Funkcialaj Ekvacioj 48-3 (2005), 453-487
  11. The C∞-well posed Cauchy problem for hyperbolic operators dominated by time functions, Japanese J. Math. 30-2 (2004), 283-348 (with K. Kajitani and K. Yagdjian)
  12. The Cauchy problem for hyperbolic operators dominated by time functions, Hyperbolic Problems and Related Topics, International Press, 2003, pp423-436
  13. Remarks on analytic hypoellipticity and local solvability in the space of hyperfunctions, J. Math. Sci. Univ. Tokyo 10 (2003), 89-117
  14. On hypoellipticity of the operator exp[-|x1|-σ] D12+x14 D22+1, Partial Differential Equations and Mathematical Physics in Memory of Jean Leray, Progress in Nonlinear Differential Equations and Their Applications, 2003, pp225-238 (with N. Nakazawa)
  15. The hyperbolic operators with the characteristics vanishing with the different speeds, Osaka J. Math. 39-2 (2002), 447-485 (with K. Kajitani and K. Yagdjian)
  16. On hypoellipticity of the operator exp[-|x1|-σ] D12+x14 D22+1, Publ. RIMS, Kyoto Univ. 38-1 (2002), 135-146 (with N. Nakazawa)
  17. The Lax-Mizohata theorem for nonlinear Cauchy problems, Comm. in P. D. E. 26-7&8 (2001), 1367-1384
  18. Classical Microlocal Analysis in the Space of Hyperfunctions, Lecture Notes in Mathematics, vol. 1737, Springer, 367pp, 2000
  19. The Cauchy problem for a class of hyperbolic operators with double characteristics, Funkcialaj Ekvacioj 39-2 (1996), 235-307 (with K. Kajitani)
  20. The Cauchy problem for hyperbolic operators of strong type, Duke Math. J. 75 (1994), 353-408 (with K. Kajitani and T. Nishitani)
  21. Microlocal a priori  estimates and the Cauchy problem II, Japan. J. Math. 20-1 (1994), 1-71 (with K. Kajitani)
  22. Microlocal a priori  estimates and the Cauchy problem I, Japan. J. Math. 19-2 (1993), 353-418 (with K. Kajitani)
  23. Microhypoellipticity for a class of pseudodifferential operators with double characteristics, Funkcialaj Ekvacioj 36-3 (1993), 519-556 (with M. Suzuki)
  24. Propagation of singularities for several classes of pseudodifferential operators, Bull. Sc. math., 2 serie 115 (1991), 397-449 (with K. Kajitani)
  25. The hyperbolic mixed problem in Gevrey classes, Japan. J. Math. 15 (1989), 309-383 (with K. Kajitani)
  26. Microhyperbolic operators in Gevrey classes, Publ. RIMS, Kyoto Univ. 25-2 (1989), 169-221 (with K. Kajitani)
  27. Hypoelliptic operators in Gevrey classes, Pitman Research Notes in Math. 183, 1988, pp115-134 (with K. Kajitani)
  28. Hyperbolic operators in Gevrey classes, Pitman Research Notes in Math. 183, 1988, pp386-401 (with K. Kajitani)
  29. Generalized flows and their applications, Proc. NATO Advanced Study Institutes on Advances in Microlocal Analysis, Series C, D. Reidel,1986, pp363-384
  30. Remarks on hyperbolic polynomials, Tsukuba J. Math. 10-1 (1986), 17-28
  31. Singularities of solutions of the Cauchy problem for hyperbolic systems in Gevrey classes, Japan. J. Math. 11-1 (1985), 131-175
  32. Generalized Hamilton flows and singularities of solutions of the hyperbolic Cauchy problem, Taniguchi Symp., HERT, Kyoto, Kinokuniya, Tokyo, 1984, pp415-423
  33. Singularities of solutions of the Cauchy problem for symmetric hyperbolic systems, Comm. in PDE 9 (1984), 1147-1177
  34. Analytic singularities of solutions of the hyperbolic Cauchy problem, Proc. Japan Acad. 59-10 (1983), 449-452
  35. Singularities of solutions of the hyperbolic Cauchy problem in Gevrey classes, Proc. Japan Acad. 59-5 (1983), 182-185
  36. Singularities of solutions of the Cauchy problems for operators with nearly constant coefficient hyperbolic principal part, Comm. in PDE 8-4 (1983), 347-406
  37. The mixed problem for hyperbolic systems, Proc. NATO Advanced Study Institutes on Singularities in boudary value problems, Series C, D. Reidel,1981, 327-370
  38. A necessary condition for the mixed problem to be C∞ well-posed, Comm. in PDE 5 (1980), 1031-1064
  39. The Cauchy problem for operators with constant coefficient hyperbolic principal part and propagation of singularities, Japan. J. Math. 6 (1980), 179-228
  40. Propagation of singularities of the fundamental solutions of hyperbolic mixed problems, Publ. RIMS, Kyoto Univ. 15 (1979), 653-678
  41. Propagation of singularities for hyperbolic operators with constant coefficient principal part, Tsukuba J. Math. 2 (1978), 91-107
  42. On singularities of solutions of hyperbolic mixed problems, Sugaku Ronsetsu 30-3 (1978), 218-229 (Japanese)
  43. Microlocal parametrices for hyperbolic mixed problems in the case where boundary waves appear, Publ. RIMS, Kyoto Univ. 14-2 (1978), 283-307
  44. Propagation of singularities for hyperbolic mixed problems, Proc. NATO Advanced Study Institutes on Boundary value problems for linear evolution partial differential equations, Series C, D. Reidel, 1976, pp363-384
  45. Analytic wave front sets of the Riemann functions of hyperbolic mixed problems in a quarter-space, Publ. RIMS, Kyoto Univ. 11-3 (1976), 785-807
  46. Singularities of the Riemann functions of hyperbolic mixed problems in a quarter-space, Publ. RIMS, Kyoto Univ. 11-2 (1976), 417-440
  47. The principle of limit amplitude for symmetric hyperbolic systems of first order in the half-space R+n, Publ. RIMS, Kyoto Univ. 11-1 (1975), 149-162
  48. Eigenfunction expansions for symmetric systems of first order in the half-space R+n, Publ. RIMS, Kyoto Univ. 11 (1975), 67-147
  49. Singularities of the Riemann functions of hyperbolic mixed problems in a quarter-space, Proc. Japan Acad. 50-10 (1974), 821-825
  50. Eigenfunction expansions for symmetric systems of first order in the half-space R+n, Proc. Japan Acad. 50-1 (1974), 6-10

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