A nonsteady Venttsel' problem in a fractal domain Ω or in the corresponding prefractal domain Ωh 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. © 2014 Springer Basel.
Venttsel' problems in fractal domains / Lancia, Maria Rosaria; Vernole, Paola. - In: JOURNAL OF EVOLUTION EQUATIONS. - ISSN 1424-3199. - STAMPA. - 14:3(2014), pp. 681-712. [10.1007/s00028-014-0233-7]
Venttsel' problems in fractal domains
LANCIA, Maria Rosaria;VERNOLE, Paola
2014
Abstract
A nonsteady Venttsel' problem in a fractal domain Ω or in the corresponding prefractal domain Ωh 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. © 2014 Springer Basel.File allegati a questo prodotto
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