On the the wave equation with hyperbolic dynamical boundary conditions, interior and boundary damping and source

Abstract

The aim of the paper is to study local Hadamard well-posedness for wave equation with an hyperbolic dynamical boundary condition, internal and/or boundary damping and sources for initial data in the natural energy space. Moreover the regularity of solutions is studied. Finally a dynamical system is generated when sources are at most linear at infinity, or they are dominated by the damping terms.

48 pages, 1 figure. Author's post-print

References in corpus (1)

• Lagrangian Variational Framework for Boundary Value Problems

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