Barbu, Favini: Existence for implicit differential equations in Banach spaces

Barbu, Viorel and Favini, Angelo:
Existence for implicit differential equations in Banach spaces (Esistenza per equazioni differenziali implicite in spazi di Banach)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni Serie 9 3 (1992), fasc. n.3, p. 203-215, (English)
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Si dimostrano due risultati di esistenza per equazioni differenziali astratte del tipo \( d(Bu)/dt + A(u) = f \) e si danno alcune applicazioni di essi ad equazioni alle derivate parziali.

Referenze Bibliografiche

[1] Y. AMIRAT, Ecoulements en milieu poreux n'obéissant pas à la loi de d'Arcy. Mathematical Modelling and Numer. Anal., 25, n. 3, 1991, 273-306. | fulltext EuDML | fulltext mini-dml | MR 1103090 | Zbl 0727.76106

[2] V. BARBU, Nonlinear Semigroups and Differential Equations in Banach Spaces. Nordhoff, Leyden 1976. | MR 390843 | Zbl 0328.47035

[3] V. BARBU, Existence for nonlinear Volterra equations in Hilbert Spaces. SIAM J. Math. Anal., 10, 1979, 552-569. | fulltext (doi) | MR 529073 | Zbl 0462.45021

[4] V. BARBU, Degenerate nonlinear Volterra integral equations in Hilbert spaces. In: S. LONDEN - O. STAFFANS (eds.), Volterra Equations. Lecture Notes in Mathematics, vol. 737, Springer Verlag, 1979, 2-23. | MR 551024 | Zbl 0462.45022

[5] M. S. BERGER, Nonlinearity and Functional Analysis. Academic Press, New York 1977. | MR 488101 | Zbl 0368.47001

[6] F. BERNIS, Existence results for doubly nonlinear higher order parabolic equations on unbounded domains. Math. Ann., 279, 1988, 373-393. | fulltext EuDML | fulltext (doi) | MR 922422 | Zbl 0609.35048

[7] D. BLANCHARD - G. A. FRANCFORT, A few results on a class of degenerate parabolic equations. Ann. Scuola Normale Sup. Pisa, 18, 1991, 213-249. | fulltext EuDML | fulltext mini-dml | MR 1129302 | Zbl 0778.35046

[8] H. BREZIS, Intégrales convexes dans les espaces de Sobolev. Israel J. Math., 13, 1972, 9-23. | MR 341077 | Zbl 0249.46017

[9] P. COLLI - A. VISINTTN, On a class of doubly nonlinear evolution equations. Comm. Partial Diff. Eqs., 15 (5), 1990, 737-756. | fulltext (doi) | MR 1070845 | Zbl 0707.34053

[10] G. DA PRATO - P. GRISVARD, Sommes d'operateurs linéaires et équations différentielles opérationnelles. J. Math. Pures Appl., 54, 1975, 305-387. | MR 442749 | Zbl 0315.47009

[11] E. DI BENEDETTO - R. E. SHOWALTER, Implicit degenerate equations and applications. SIAM J. Math. Anal., 12, 1981, 731-751. | fulltext (doi) | MR 625829 | Zbl 0477.47037

[12] A. FAVINI, Abstract potential operators and spectral methods for a class of degenerate evolution problems. J. Diff. Eqs., 39, 1981, 212-225. | fulltext (doi) | MR 607782 | Zbl 0422.34025

[13] A. FAVINI - A. YAGI, Multivalued linear operators and degenerate evolution equations. Annali di Mat. Pura Appl., to appear. | fulltext (doi) | MR 1219605 | Zbl 0786.47037

[14] O. GRANGE - F. MIGNOT, Sur la résolution d'une équation et d'une inequation parabolique non-linéaire. J. Funct. Anal., 11, 1972, 77-92. | MR 350207 | Zbl 0251.35055

[15] R. E. SHOWALTER - N. J. WALKINGTON, A diffusion system for fluid in fractured media. Diff. and Integral Eqs., 3, 1990, 219-236. | MR 1025175 | Zbl 0753.35045

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Referenze Bibliografiche