Damped wave equations with dynamic boundary conditions
Analysis of PDEs
2018-12-21 v1 Functional Analysis
Abstract
We discuss several classes of linear second order initial-boundary value problems, where damping terms appear in the main wave equation as well as in the dynamic boundary condition. We investigate their well-posedness and describe some qualitative properties of their solutions, including boundedness, stability, or almost periodicity. In particular, we are able to characterize the analyticity of certain -semigroups associated to such problems. Applications to several problems on domains and networks are shown.
Cite
@article{arxiv.0808.0213,
title = {Damped wave equations with dynamic boundary conditions},
author = {Delio Mugnolo},
journal= {arXiv preprint arXiv:0808.0213},
year = {2018}
}