Zobrazeno 1 - 10
of 121
pro vyhledávání: '"Riva, A. Dalla"'
We consider the Poisson equation with homogeneous Dirichlet conditions in a family of domains in $R^{n}$ indexed by a small parameter $\epsilon$. The domains depend on $\epsilon$ only within a ball of radius proportional to $\epsilon$ and, as $\epsil
Externí odkaz:
http://arxiv.org/abs/2408.02387
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 the hole. The shape of the hole is determined by a suitable diffeomor
Externí odkaz:
http://arxiv.org/abs/2406.11365
Autor:
Anastasi, Sage, Riva, Giulio Dalla
In this paper we present new methods that extend Baldassari and Gelman's theory of polarisation. They show that it is useful to define polarisation as increasing correlation between positions in an ideological field, which reduces political pluralism
Externí odkaz:
http://arxiv.org/abs/2403.18191
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 integration. In the second part, we present an application of the resul
Externí odkaz:
http://arxiv.org/abs/2309.07501
Autor:
Riva, Matteo Dalla, Luzzini, Paolo
We prove that the integral operators associated with the layer heat potentials depend smoothly upon a parametrization of the support of integration. The analysis is carried out in the optimal H\"older setting.
Externí odkaz:
http://arxiv.org/abs/2303.17174
Publikováno v:
Nonlinear Analysis 191 (2020) 111645
We consider the Laplace equation in a domain of $\mathbb{R}^n$, $n\ge 3$, with a small inclusion of size $\epsilon$. On the boundary of the inclusion we define a nonlinear nonautonomous transmission condition. For $\epsilon$ small enough one can prov
Externí odkaz:
http://arxiv.org/abs/2211.12818
Publikováno v:
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 152(6), 2022, pp. 1451-1476
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
Externí odkaz:
http://arxiv.org/abs/2211.13105
We consider a Dirichlet problem for the Poisson equation in a periodically perforated domain. The geometry of the domain is controlled by two parameters: a real number $\epsilon>0$ proportional to the radius of the holes and a map $\phi$, which model
Externí odkaz:
http://arxiv.org/abs/2211.11631
We lay down the preliminary work to apply the Functional Analytic Approach to quasi-periodic boundary value problems for the Helmholtz equation. This consists in introducing a quasi-periodic fundamental solution and the related layer potentials, show
Externí odkaz:
http://arxiv.org/abs/2210.15927
We consider a linearly elastic material with a periodic set of voids. On the boundaries of the voids we set a Robin-type traction condition. Then we investigate the asymptotic behavior of the displacement solution as the Robin condition turns into a
Externí odkaz:
http://arxiv.org/abs/2209.02563