5 citations · 5 across the 9 of their papers we have counts for
9 papers
Shape analysis in Schauder spaces of the energy of heat problems in perturbed annular domains
Luca Di Persio, Riccardo Molinarolo
This paper is devoted to the shape analysis of the energy of a caloric family of Schauder functions defined on a bounded perforated domain of $\ma…
On fractional semilinear wave equations in non-cylindrical domains
Mauro Bonafini, Van Phu Cuong Le, Riccardo Molinarolo
In this paper, we investigate a class of semilinear wave equations in non-cylindrical time-dependent domains, subject to exterior homogeneous Dirichlet conditions. Under mild regul…
On the eigenvalues of the biharmonic operator on annuli
Davide Buoso, Riccardo Molinarolo
We show that the fundamental tone of the bilaplacian with Dirichlet or Navier boundary conditions on radially symmetric domains is always simple in dimension . In dimension…
Existence result for a nonlinear mixed boundary value problem for the heat equation
Riccardo Molinarolo
In this paper we study the existence of solutions in parabolic Schauder space of a nonlinear mixed boundary value problem for the heat equation in a perforated domain. From a given…
Shape perturbation of a nonlinear mixed problem for the heat equation
Matteo Dalla Riva, Paolo Luzzini, Riccardo Molinarolo +1
We consider the heat equation in a domain that has a hole in its interior. We impose a Neumann condition on the exterior boundary and a nonlinear Robin condition on the boundary of…
Multi-parameter perturbations for the space-periodic heat equation
Matteo Dalla Riva, Paolo Luzzini, Riccardo Molinarolo +1
This paper is divided into three parts. The first part focuses on periodic layer heat potentials, demonstrating their smooth dependence on regular perturbations of the support of i…
Existence results for a nonlinear nonautonomus transmission problem via domain perturbation
Matteo Dalla Riva, Riccardo Molinarolo, Paolo Musolino
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 equatio…
Local uniqueness of the solutions for a singularly perturbed nonlinear nonautonomous transmission problem
Matteo Dalla Riva, Riccardo Molinarolo, Paolo Musolino
We consider the Laplace equation in a domain of , , with a small inclusion of size . On the boundary of the inclusion we define a nonlinear nonautonomous t…
Existence of solutions for a singularly perturbed nonlinear non-autonomous transmission problem
Riccardo Molinarolo
In this paper we analyse a boundary value problem for the Laplace equation with a nonlinear non-autonomous transmission conditions on the boundary of a small inclusion of size .…