| Autor: |
Riva, Matteo Dalla, Molinarolo, Riccardo, Musolino, Paolo |
| Rok vydání: |
2022 |
| Předmět: |
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| Zdroj: |
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 152(6), 2022, pp. 1451-1476 |
| Druh dokumentu: |
Working Paper |
| Popis: |
In this paper we study the existence and the analytic dependence upon domain perturbation of the solutions of a nonlinear nonautonomous transmission problem for the Laplace equation. The problem is defined in a pair of sets consisting of a perforated domain and an inclusion whose shape is determined by a suitable diffeomorphism $\phi$. First we analyse the case in which the inclusion is a fixed domain. Then we will perturb the inclusion and study the arising boundary value problem and the dependence of a specific family of solutions upon the perturbation parameter $\phi$. |
| Databáze: |
arXiv |
| Externí odkaz: |
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