Asymptotics for Venttsel' problems for operators in non divergence form in irregular domains | Zendy

Maria Rosaria Lancia | Zendy; Valerio Regis Durante | Zendy; Paola Vernole | Zendy

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Asymptotics for Venttsel' problems for operators in non divergence form in irregular domains

Author(s) -

Maria Rosaria Lancia,

Valerio Regis Durante,

Paola Vernole

Publication year - 2016

Publication title -

discrete and continuous dynamical systems - s

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.481

H-Index - 34

eISSN - 1937-1632

pISSN - 1937-1179

DOI - 10.3934/dcdss.2016060

Subject(s) - mathematics , uniqueness , divergence (linguistics) , semigroup , fractal , domain (mathematical analysis) , limit (mathematics) , operator (biology) , pure mathematics , mathematical analysis , linguistics , philosophy , biochemistry , chemistry , repressor , transcription factor , gene

We study a Venttsel' problem in a three dimensional fractal domain for an operator in non divergence form. We prove existence, uniqueness and regularity results of the strict solution for both the fractal and prefractal problem, via a semigroup approach. In view of numerical approximations, we study the asymptotic behaviour of the solutions of the prefractal problems and we prove that the prefractal solutions converge in the Mosco-Kuwae-Shioya sense to the (limit) solution of the fractal one

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