List of papers

  1. (with Y.Shibata) Decay properties of the exterior problem for the 2D wave and elastic wave equations, in preparation
  2. (with R.Racke) Waveguides with bumps, in preparation
  3. (with D.Foschi, S.Selberg) Atlas of products for wave-Sobolev spaces, to appear on Transactions AMS.
  4. (with L.Fanelli, L.Vega, N.Visciglia) Endpoint Strichartz estimates for the magnetic Schroedinger equation, to appear on Journal of Functional Analysis (ArXiv)
  5. (with V.Pierfelice, F.Ricci) On the wave equation associated to the Hermite and the twisted Laplacian, to appear on J. Fourier Anal. Appl.
  6. (with D.Foschi, S.Selberg) Null structure and local well-posedness of the Maxwell-Dirac system, to appear on Amer. J. Math. (ArXiv)
  7. (with T.Kinoshita, S.Spagnolo) On the 2 by 2 weakly hyperbolic systems, Osaka J. Math. 45 (2008) 921-939
  8. (with L.Fanelli) Strichartz and smoothing estimates for dispersive equations with magnetic potentials, Comm. Partial Differential Eqs. 33 (6) (2008) 1082-1112 (ArXiv)
  9. (with D.Foschi, S.Selberg) Local well-posedness below the charge norm for the Dirac-Klein-Gordon system in two space dimensions, Journal of Hyperbolic Differential Eqs. 4 (2007) 1-36 (ArXiv)
  10. (with D.Foschi, S.Selberg) Null structure and almost optimal local well-posedness of the Dirac-Klein-Gordon system, Journal of European Math. Soc. 9 (2007) 877-899 (ArXiv)
  11. (with L.Fanelli) Lp - boundedness of the wave operator for the one dimensional Schroedinger operator, Comm. Math. Physics 268 (2006) 415-438 (ArXiv)
  12. (with L.Fanelli) Decay estimates for the wave and Dirac equations with a magnetic potential, Comm. Pure Appl. Math. 60 (2007) 357-392 (ArXiv)
  13. (with V.Pierfelice, S.Teta) Dispersive estimate for the Schrödinger equation with point interactions, Math. Methods Appl. Sci. 29 (2006) 309-323 (ArXiv)
  14. (with V.Pierfelice, N.Visciglia) Some remarks on the Schrödinger equation with a potential in Lrt Lsx, Mathematische Annalen 333 (2005) 271-290 (ArXiv)
  15. (with V.Pierfelice) On the wave equation with a large rough potential, Journal of Functional Analysis 227 (2005), 30-77 (ArXiv)
  16. (with E.Montefusco) Il dubbio di Didone. Ricordando Franco Conti, 59-79, Pubbl. Cent. Ric. Mat. Ennio Giorgi, Scuola Norm. Sup., Pisa, 2004 (.pdf file)
  17. Instability for geometric wave equations. Phase space analysis of partial differential equations. Vol. I, 155-174, Pubbl. Cent. Ric. Mat. Ennio Giorgi, Scuola Norm. Sup., Pisa, 2004
  18. (with V.Georgiev) Wave maps and ill posedness of their Cauchy problem. New trends in the theory of hyperbolic equations, 1-111, Oper. Theory Adv. Appl. 159, Birkhauser, Basel, 2005
  19. (with V.Georgiev) Stability of solitary waves for the Maxwell-Schrödinger equation with external Coulomb potential: electrostatic case. (Fourth ISAAC Congress, Toronto, 2003)
  20. (with V.Georgiev) On the continuity of the solution operator to the wave map system, Comm. Pure Appl. Math. 57 (2004), 357-383 (ArXiv)
  21. (with V.Georgiev) Recent ill-posedness results for the wave map system in critical spaces. Hyperbolic problems and related topics (Cortona, 2002), 137-146, Grad. Ser. Anal., Int. Press, Somerville, MA, 2003
  22. (with V.Georgiev) Ill posedness for the 2-D wave map equation. Progress in analysis, Vol. I, II (Third ISAAC congress, Berlin, 2001), 913-931, World Sci. Publishing, River Edge, NJ, 2003
  23. (with V.Georgiev) On Lipschitz continuity of the solution map for two dimensional wave maps. Evolution equations (Warsaw, 2001), 95-103, Banach Center Publ. 60, Polish Acad. Sci., Warsaw, 2003
  24. (with V.Georgiev) Low regularity solutions for the wave map equation into the 2-D sphere, Math. Zeitschrift 248 (2004), 227-266 (.pdf file)
  25. (with T.Kinoshita, S.Spagnolo) Weakly hyperbolic systems with Hölder continuous coefficients, J. Diff. Equations 203 (2004) 64-81 (.pdf file)
  26. (with T.Kinoshita) On the wellposedness of the Cauchy problem for weakly hyperbolic equations of higher order, Math. Nachrichten 278 (2005) 1147-1162 (.pdf file)
  27. (with T.Kinoshita) On the wellposedness of the Cauchy problem for weakly hyperbolic equations of higher order. Microlocal analysis and related topics (Japanese) (Kyoto, 2001). Surikaisekikenkyusho Kokyuroku 1261 (2002) 46-55
  28. (with M.Di Flaviano) On a weakly hyperbolic quasilinear mixed problem of second order Annali Scu. Norm. Sup. Pisa 30 (2001), 251-267
  29. (with V.Georgiev, H.Kubo) Weighted Strichartz estimates for the wave equation, Comptes Rendus Acad. Sci. Paris 330 (2000), 349-354
  30. (with S.Spagnolo) A remark on uniformly symmetrizable systems. Advances in Math. 158 (2001), 18-25 (.pdf file)
  31. (with V.Georgiev, H.Kubo) Weighted decay estimates for the wave equation, J. Diff. Equations 177 (2001), 146-200
  32. (with V.Georgiev, H.Kubo) Weighted Strichartz estimate for the wave equation, Comptes Rendus Acad. Sci. Paris 330 (2000), 349-354
  33. (with M.Di Flaviano) An abstract degenerate hyperbolic equation with application to mixed problems, Hokkaido Math. J. 29 (2000), 315-328
  34. (with A.Di Giuseppe) Global existence with large data for a nonlinear weakly hyperbolic equation, Math. Nachrichten 231 (2001), 5-23
  35. (with S.Spagnolo) On pseudosymmetric hyperbolic systems, Ann.Scu.Norm.Sup.Pisa 25 (1997), 397-417, Volume in memoria di Ennio De Giorgi
  36. (with M.Reissig) New trends in the theory of nonlinear weakly hyperbolic equations of second order, Proceedings of the Second World Congress of Nonlinear Analysts, Part 4 (Athens 1996), Nonlinear Anal. 30 (1997), 2507-2515
  37. (with R.Racke) Weakly hyperbolic equations in domains with boundaries, Nonlinear Anal. 33 (1998), 455-472
  38. (with M.DiFlaviano) On quasilinear hyperbolic equations with degenerate principal part, Tsukuba J. Math. 22 (1998), 559-574
  39. (with S.Spagnolo) Quasi-symmetrization of hyperbolic systems and propagation of the analytic regularity, Boll. UMI 1-B (1998), 169-185
  40. (with S.Spagnolo) The Cauchy Problem for Weakly Parabolic Systems, Math.Ann. 309 (1997), 307-330
  41. (with S.Spagnolo) Small analytic solutions to nonlinear weakly hyperbolic systems, Ann. Scu. Norm. Sup. Pisa IV.22 (1995), 469-491
  42. A note on a theorem of Jörgens, Math. Zeitschrift 218 (1995), 239-252
  43. (with S.Spagnolo) Kirchhoff type equations depending on a small parameter, Chinese Ann. Math. 16B (1995), 413-430
  44. (with Y.Shibata) On global solvability of nonlinear viscoelastic equations in the analytic category, Math. Methods Appl. Sci. 17 (1994), 477-486
  45. The Cauchy problem for semilinear weakly hyperbolic equations in Hilbert spaces, Ann. Inst. Henri Poincaré 11 (1994), 343-358
  46. On weakly hyperbolic equations in Hilbert spaces, Funkcialaj Ekvacioj 38 (1995), 159-177
  47. (with R.Manfrin) The Cauchy problem in abstract Gevrey spaces for a nonlinear weakly hyperbolic equation of second order, Hokkaido Math. J. 23 (1994), 119-141
  48. (with R.Manfrin) Sufficient conditions for the local solvability of some quasilinear equations of weakly hyperbolic type, Boll. UMI (7)8-B (1994), 731-754
  49. (with R.Manfrin) A class of locally solvable semilinear equations of weakly hyperbolic type, Ann. Mat. pura e Appl. 168 (1995), 355-372
  50. On a semilinear weakly hyperbolic equation with logarithmic nonlinearity, Differ. Int. Equations 7 (1994), 121-132
  51. (with S.Spagnolo) Nonlinear perturbations of the Kirchhoff equation, Comm. Pure Appl. Math. 47 (1994), 1005-1029
  52. Local existence for semilinear weakly hyperbolic equations with time dependent coefficients, Nonlin. Analysis T.M.A. 21 (1993), 685-696
  53. (with S.Spagnolo) On an abstract weakly hyperbolic equation modelling the nonlinear vibrating string, in: Developments in Partial Differential Equations and applications to Mathematical Physics (Ferrara 1991), G.Buttazzo and G.P.Galdi eds., Plenum Press, 1992, 27-32
  54. (with S.Spagnolo) A class of nonlinear hyperbolic problems with global solutions, Arch. Rat. Mech. and Anal. 124 (1993), 201-219
  55. (with L.Ambrosio, S.Mortola) Gamma-convergence and the least square method, Ann. Mat. pura e appl. 166 (1994), 101-127
  56. Well posedness in C∞ for a weakly hyperbolic second order equation, Rend. Sem. Mat. Univ. Padova 91 (1994), 65-83
  57. (with S.Spagnolo) Global solvability for the degenerate Kirchhoff equation with real analytic data, Inventiones Math. 108 (1992), 247-262
  58. Periodic solutions for a second order partial differential equation, Ann.Scu.Norm.Sup.Pisa 19 (1992), 493-506
  59. (with Bernard Gaveau) The singularity of the fundamental solution of certain hyperbolic systems, Pubbl. Dip. Mat. Univ. Pisa 2.52 (551) (1990)
  60. (with Andrea D'Agnolo, Giuseppe Zampieri) Extension of CR functions to "wedge type" domains, Rend. Mat. Acc. Lincei IX.2 (1991), 35-42
  61. (with Bernard Gaveau) Singularité de la solution fondamentale de certains systèmes hyperboliques à coefficients constants, C. R. Acad. Sci. Paris 310 (Série I) (1990), 757-760
  62. (with Sergio Spagnolo) On the life span of the analytic solutions to quasilinear weakly hyperbolic equations, Indiana Univ. Math. J. 40 (1991), 71-98
  63. (with Nobuyuki Tose, Giuseppe Zampieri) Propagation of singularities up to the boundary along leaves, Comm. in PDEs 15 (1990), 453-460
  64. (with Andrea Braides) Perimeter on fractal sets, Manuscripta Mathematica 72 (1991), 5-25
  65. Gevrey well-posedness of an abstract Cauchy problem of weakly hyperbolic type, Publ. RIMS Kyoto 24 (1988), 433-449
  66. Global solution of the Cauchy problem for a class of abstract nonlinear hyperbolic equations, Ann. Mat. pura ed appl. (IV) 130 (1988), 17-38

Erdös number = 3 (Erdös -> Kac -> Gaveau -> D'Ancona)