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Original Articles

A Cauchy-kovalevskaja Type Theorem in The Gevrey Class with A Vector-Valued Time Variable

Pages 1457-1502 | Published online: 08 May 2007

  • Baounedi , M. S. and Goulaouic , C. 1978 . “ Le théorème de Nishida pour le problème de Cauchy abstrait par une méthode de point fixe ” . In Lecture Notes in Mathematics , Vol. 660 , 1 – 8 . Springer-Verlag .
  • Koike , M. 1989 . An abstract nonlinear Cauchy problem with a vector valued tie variable . Funkcialaj Ekvacioj , 32 : 1 – 22 .
  • Koike , M. 1990 . “ Multitime nonlinear Cauchy problems ” . Tokyo : Thesis, Nihon University .
  • Nagumo , M. 1941 . Über das Anfasgswertproblem partieller Differential-gleichungen . Jap. J. Math. , 18 : 41 – 47 .
  • Nirenberg , L. 1972 . An abstract form of the nonlinear Cauchy-Kovalewski theorem . J. Diff. Geometry , 6 : 561 – 576 .
  • Nishida , T. 1977 . A note on a theorem of Nirenberg . J. Diff. Geom. , 12 : 629 – 633 .
  • Wagschal , C. 1979 . Le problème de Goursat nonlinéaire . J. Math. Pure et Appl. , 58 : 309 – 337 .
  • Yamanaka , T. 1981 . The Cauchy-kovalevskaja theorem with a vector valued time variable . Funk. Ekv. , 24 : 211 – 246 .
  • Yamanaka , T. 1989 . A new higher order chain rule and Gevrey class . Annals of Global Analysis and Geometry , 7 : 179 – 203 .

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