5 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 boundary value problems for the heat equation in a bounded perforated domain of $\…
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…
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…
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…