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- Title
CONVERGENCE AND DENSITY RESULTS FOR PARABOLIC QUASI-LINEAR VENTTSEL' PROBLEMS IN FRACTAL DOMAINS.
- Authors
Creo, Simone; Durante, Valerio Regis
- Abstract
In this paper we study a quasi-linear evolution equation with nonlinear dynamical boundary conditions in a three dimensional fractal cylindrical domain Q, whose lateral boundary is a fractal surface S. We consider suitable approximating pre-fractal problems in the corresponding pre-fractal varying domains. After proving existence and uniqueness results via standard semigroup approach, we prove density results for the domains of energy functionals defined on Q and S. Then we prove that the pre-fractal solutions converge in a suitable sense to the limit fractal one via the Mosco convergence of the energy functionals.
- Publication
Discrete & Continuous Dynamical Systems - Series S, 2019, Vol 12, Issue 1, p65
- ISSN
1937-1632
- Publication type
Academic Journal
- DOI
10.3934/dcdss.2019005