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Original Articles

Study of complete abstract elliptic differential equations in non-commutative cases

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Pages 1495-1510 | Received 06 May 2011, Accepted 24 Oct 2011, Published online: 23 Nov 2011

References

  • Favini , A , Labbas , R , Maingot , S , Tanabe , H and Yagi , A . 2008 . Necessary and sufficient conditions for maximal regularity in the study of elliptic differential equations in Hölder spaces . Disc. Contin. Dyn. Syst. , 22 ( 4 ) : 973 – 987 .
  • Favini , A and Yakubov , Y . 2008 . Higher order ordinary differential-operator equations on the whole axis in UMD Banach spaces . Diff. Integral Eqns , 21 ( 5–6 ) : 497 – 512 .
  • Denk , R , Hieber , M and Prüss , J . 2003 . ℛ-Boundedness, Fourier multipliers and problems of elliptic and parabolic type . Mem. Am. Math. Soc. , 788 ( 166 ) : 166
  • Arendt , W and Duelli , M . 2006 . Maximal L p -regularity for parabolic and elliptic equations on the line . J. Evol. Eqns , 6 : 773 – 790 .
  • Favini , A , Labbas , R , Maingot , S , Tanabe , H and Yagi , A . 2008 . A simplified approach in the study of elliptic differential equations type in UMD spaces and new applications . Funkcial. Eckvac. , 51 : 165 – 187 .
  • Favini , A , Labbas , R , Maingot , S , Tanabe , H and Yagi , A . 2006 . Complete abstract differential équations of elliptic type in UMD spaces . Funkcial. Eckvac. , 49 : 193 – 217 .
  • Da Prato , G and Grisvard , P . 1975 . Sommes d'opérateurs linéaires et equations différentielles opérationnelles . J. Math. Pures Appl. (9) , 54 : 305 – 387 .
  • Labbas , R . 1989 . Some results on the sum of linear operators with nondense domains . Ann. Mat. Pura Appl. (4) , 154 : 91 – 97 .
  • Fuhrman , M . 1994 . Sums of generators of analytic semigroups and multivalued linear operators , Dipartimento di Matematica Politecnico di Milano : preprint n. 112/P . pp. 1–50
  • Lunardi , A . 1995 . Analytic Semigroups and Optimal Regularity in Parabolic Problems , Basel : Birkhäuser .
  • Sinestrari , E . 1985 . On the abstract cauchy problem of parabolic type in spaces of continuous functions . J. Math. Anal. Appl. , 66 : 16 – 66 .
  • Campanato , S . 1981 . Generation of analytic semigroups by elliptic operators of second order in Hölder spaces . Ann. Sc. Norm. Super. Pisa Cl. Sci. , 8 ( 3 ) : 495 – 512 .
  • Campanato , S . 1980 . Generation of analytic semigroups, in the Hölder topology, by elliptic operators of second order with Neumann boundary conditions . Matematiche , 35 ( 1–2 ) : 61 – 72 .

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