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On some singular nonlinear evolution equations

Part of the Lecture Notes in Mathematics book series (LNM,volume 1223)

Abstract

We study, in this paper, a class of singular or degenerate nonlinear abstract differential equations of parabolic type. We prove, for such equations, an existence and uniqueness result, in the framework of suitable Banach weighted spaces.

This work was supported in part by the "Istituto di Analisi Numerica del C.N.R." (Pavia, Italy), the "G.N.A.F.A. del C.N.R." (Italy) and the "Ministero della Pubblica Istruzione" (Italy).

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© 1986 Springer-Verlag

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Bernardi, M.L. (1986). On some singular nonlinear evolution equations. In: Favini, A., Obrecht, E. (eds) Differential Equations in Banach Spaces. Lecture Notes in Mathematics, vol 1223. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0099179

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  • DOI: https://doi.org/10.1007/BFb0099179

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17191-1

  • Online ISBN: 978-3-540-47350-3

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