The linear damped wave equation, Hamiltonian symmetry, and the importance of being odd

Pedro Freitas

doi:10.3934/dcds.1998.4.635

Article Contents

1998, Volume 4, Issue 4: 635-640. Doi: 10.3934/dcds.1998.4.635

This issue Previous Article On two-dimensional Riemann problem for pressure-gradient equations of the Euler system Next Article Asymptotic behaviour of optimal solutions of control problems governed by inclusions

The linear damped wave equation, Hamiltonian symmetry, and the importance of being odd

Pedro Freitas^1,

1.
Departamento de Matemática, Instituto Superior Técnico, Av.Rovisco Pais, 1096 Lisboa Codex

Received: August 31, 1997

Revised: February 28, 1998

Published: September 1998

Abstract Related Papers Cited by

Abstract

We show the existence and fully characterize a class of dissipative perturbations of the linear wave equation for which the spectrum of the associated linear operator has Hamiltonian symmetry and the energy of finite-energy solutions neither decays to zero nor grows to infinity, but instead oscillates and remains bounded for all time.

Keywords:

Damped wave equation,
Hamiltonian symmetry.

Mathematics Subject Classification: 35B35, 35L20.

Citation:

Article Metrics

HTML views() PDF downloads(94) Cited by(0)

The linear damped wave equation, Hamiltonian symmetry, and the importance of being odd

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

The linear damped wave equation, Hamiltonian symmetry, and the importance of being odd

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content