Existence results for a nonlinear nonautonomous transmission problem via domain perturbation
| Autor: | Paolo Musolino, Riccardo Molinarolo, Matteo Dalla Riva |
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| Přispěvatelé: | Dalla Riva M., Molinarolo R., Musolino P. |
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Physics
General Mathematics Mathematical analysis Nonlinear nonautonomous transmission problem Perturbation (astronomy) special nonlinear operators Laplace equation Domain (software engineering) Nonlinear system Transmission (telecommunications) Domain perturbation Settore MAT/05 - Analisi Matematica real analyticity domain perturbation |
| ISSN: | 0308-2105 |
| 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: | OpenAIRE |
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