Research and Papers

(研究成果報告)

吉野 正史（広島大学大学院理学研究科）

2010年03月15日現在

  1. List of Papers
  2. H21年度研究成果の報告
  3. H20年度研究成果の報告
  4. (With Werner Balser) Gevrey order of formal power series solutions of inhomogeneous partial differential equations with constant coefficients, {\it accepted for publication in Funkcial. Ekvac.}
  5. (With Werner Balser) Integrability of Hamiltonian systems and transseries expansions, {\it accepted for publication in Math. Zeitschrift}.
  6. (With Yoshinari Tanaka) Predicting the phenotypic response of resource-competing communities to environmental change, Accepted for publication to Journal of Theoretical Biology.
  7. Analytic-Liouville-Nonintegrable Hamiltonian Systems, RIMS K\^oky\^uuroku Bessatsu, B10 (2008), 225-234.
  8. (With A. Shirai) Singular solutions of nonlinear partial differential equations with resonances, J. Math. Soc. Japan, 60(1) (2008), 237-263.
  9. (With T.Gramchev) Normal forms for commuting vector fields near a common fixed point, Proceedings of SPT 2007, World Scientific (2008), 81-91.
  10. Analytic non-integrable Hamiltonian systems and irregular singularities, Annali di Matematica, 187, (2008), 555-562.
  11. Divergence and resummation in the normal form theory of vector fields, RIMS K\^oky\^uuroku Bessatsu, B5 (2008), 113-119.
  12. Simultaneous reduction to normal forms of commuting singular vector fields with linear parts having Jordan blocks, ANNALES DE L'INSTITUT FOURIER, 58 no. 1 (2008), 263-297 .
  13. Convergent and divergent solutions of singular partial differential equations with resonance or small denominators, Publications of RIMS, Kyoto University, 43, (2007), 923-943.
  14. WKB analysis and Poincar\'e theorem for vector fields, Proceeding of the Conference "Algebraic Analysis of Differential Equations" in honor of Prof. Kawai, Springer Verlag, (2007), 335-352.
  15. Singular partial differential equations with resonance and small denominators, Proceeding of the Conference "Algebraic, Analytic and Geometric Aspects of Complex Differential Equations and their Deformations. Painlev\'e Hierarchies" , RIMS K\^oky\^uuroku Bessatsu, B2 (2007), 261-265.
  16. Finitely smooth solutions of nonlinear singular partial differential equations, Math. Nachr. 279, (No. 11) (2006), 1-22.
  17. Diophantine phenomena in commuting vector fields and diffeomorphisms, Tsukuba J. Math. 28 (No.2) (2004), 389-399.
  18. Riemann--Hilbert problem and solvability of differential equations, Rend. Sem. Mat. Univ. Pol. Torino 61 (2) (2003), 183-208.
  19. Perturbations of vector fields on tori: resonant normal forms and diophantine phenomena, Proc. Edinburgh Math. Soc. (2002), 45, 731-759.
  20. Global solvability of Monge-Amp\`ere type equations, Comm. Partial Differential Equations, 25 (2000), 1925-1950.
戻る