The aim of the paper is to study wave equation in a bounded open subset of the euclidean space in dimension greater or equal than two, with an hyperbolic dynamical boundary condition involving the Laplace Beltrami operator. Moreover the problem will include internal and boundary damping terms as well as internal and boudary sources also of supercritical type. Local and global well-posedness of the problem is studied, as well as regularity of solutions.
On the wave equation with hyperbolic dynamical boundary conditions, interior and boundary damping and supercritical sources
Vitillaro, Enzo
2018
Abstract
The aim of the paper is to study wave equation in a bounded open subset of the euclidean space in dimension greater or equal than two, with an hyperbolic dynamical boundary condition involving the Laplace Beltrami operator. Moreover the problem will include internal and boundary damping terms as well as internal and boudary sources also of supercritical type. Local and global well-posedness of the problem is studied, as well as regularity of solutions.File in questo prodotto:
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