6533b860fe1ef96bd12c39cf

RESEARCH PRODUCT

Existence results for a nonlinear nonautonomous transmission problem via domain perturbation

Paolo MusolinoRiccardo MolinaroloMatteo Dalla Riva

subject

PhysicsGeneral MathematicsMathematical analysisNonlinear nonautonomous transmission problemPerturbation (astronomy)special nonlinear operatorsLaplace equationDomain (software engineering)Nonlinear systemTransmission (telecommunications)Domain perturbationSettore MAT/05 - Analisi Matematicareal analyticitydomain perturbation; Laplace equation; Nonlinear nonautonomous transmission problem; real analyticity; special nonlinear operators

description

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 $\phi$.

yearjournalcountryeditionlanguage
2021-10-11
10.1017/prm.2021.60http://hdl.handle.net/10447/546030