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Venttsel’ problems in fractal domains

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Abstract

A nonsteady Venttsel’ problem in a fractal domain Ω or in the corresponding prefractal domain Ω h is studied. Existence, uniqueness, and regularity results for the strict solution, in both cases, are established as well as convergence results of the solutions of the approximating problems in varying Hilbert spaces.

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Authors and Affiliations

  1. Dipartimento di Scienze di Base e Applicate per l’Ingegneria, Sapienza, Università di Roma, Via A. Scarpa 16, 00161, Roma, Italy

    Maria Rosaria Lancia

  2. Dipartimento di Matematica, Università degli Studi di Roma “La Sapienza”, P.zale Aldo Moro 2, 00185, Roma, Italy

    Paola Vernole

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  1. Maria Rosaria Lancia
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  2. Paola Vernole
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Lancia, M.R., Vernole, P. Venttsel’ problems in fractal domains. J. Evol. Equ. 14, 681–712 (2014). https://doi.org/10.1007/s00028-014-0233-7

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