✦ LIBER ✦

Characteristic Symmetric Hyperbolic Systems with Dissipation: Global Existence and Asymptotics

✍ Scribed by Paolo Secchi

Publisher: John Wiley and Sons
Year: 1997
Tongue: English
Weight: 331 KB
Volume: 20
Category: Article
ISSN: 0170-4214
DOI: 10.1002/(sici)1099-1476(19970510)20:7<583::aid-mma865>3.0.co;2-t

No coin nor oath required. For personal study only.

✦ Synopsis

We consider the initial-boundary value problem for quasi-linear symmetric hyperbolic systems with dissipation and characteristic boundary of constant multiplicity. We investigate the global existence and decay property of small regular solutions in suitable functions spaces which take into account the loss of regularity in the normal direction to the characteristic boundary. We also show the existence, uniqueness and stability of the time periodic solutions.

📜 SIMILAR VOLUMES

On Global Existence, Asymptotic Stabilit

On Global Existence, Asymptotic Stability and Blowing Up of Solutions for Some Degenerate Non-linear Wave Equations of Kirchhoff Type with a Strong Dissipation

✍ Kosuke Ono 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 335 KB 👁 2 views

We study on the initial-boundary value problem for some degenerate non-linear wave equations of Kirchhoff type with a strong dissipation: When the initial energy associated with the equations is non-negative and small, a unique (weak) solution exists globally in time and has some decay properties.