The behavior of materials at the nanoscale is a key aspect of modern nanoscience and
nanotechnology. This book presents rigorous mathematical techniques showing that some …

This paper deals with the heat equation posed in a bounded regular domain Ω of RN (N⩾ 2)
coupled with a dynamical boundary condition of reactive–diffusive type. In particular we …

We extend the results obtained in by introducing a new class of boundary value problems
involving non-local dynamic boundary conditions. We focus on the problem to find a solution …

This paper considers the global dynamics of classical solutions to an initial-boundary value
problem of the system of viscous balance laws arising from chemotaxis in one space …

We investigate a control problem for the heat equation. The goal is to find an optimal heat
transfer coefficient in the dynamic boundary condition such that a desired temperature …

The aim of this paper is to study the initial boundary problem where Ω is a bounded regular
open domain in ℝN (N≥ 1), Γ=∂ Ω, ν is the outward normal to Ω, and k< 0. In particular we …

This paper describes some results about the construction and comparison of sequences of
eigenvalues and eigenvectors of a pair (a, m) of continuous symmetric bilinear forms on a …

This book investigates how domain dependent quantities from geometry and physics
behave when the domain is perturbed. Of particular interest are volume-and perimeter …

Our main interest in this paper is the study of homogenised limit of a parabolic equation with
a nonlinear dynamic boundary condition of the micro-scale model set on a domain with …

We consider parabolic equations with mixed boundary conditions and domain
inhomogeneities supported on a lower dimensional hypersurface, enforcing a jump in the …