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. Local well-posedness of the problem is studied, as well as regularity of solutions. Moreover a blow-up and a global existence result are given, under different assumptions on the nonlinearities involved.

ON THE WAVE EQUATION WITH HYPERBOLIC DYNAMICAL BOUNDARY CONDITIONS, INTERIOR AND BOUNDARY DAMPING AND SOURCE

VITILLARO, Enzo
2017

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. Local well-posedness of the problem is studied, as well as regularity of solutions. Moreover a blow-up and a global existence result are given, under different assumptions on the nonlinearities involved.
2017
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/1387883
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 22
  • ???jsp.display-item.citation.isi??? 22
social impact