𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On some nonlinear evolution equations with the strong dissipation, II

✍ Scribed by Yukiyoshi Ebihara


Publisher
Elsevier Science
Year
1979
Tongue
English
Weight
503 KB
Volume
34
Category
Article
ISSN
0022-0396

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Some remarks on global existence to the
✍ Nour-Eddine Amroun; AbbΓ¨s Benaissa πŸ“‚ Article πŸ“… 2008 πŸ› John Wiley and Sons 🌐 English βš– 160 KB πŸ‘ 1 views

## Abstract In this paper we prove the existence of global decaying __H__^2^ solutions to the Cauchy problem for a wave equation with a nonlinear dissipative term by constructing a stable set in __H__^1^(ℝ^__n__^ ). (Β© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

On Global Existence, Asymptotic Stabilit
✍ Kosuke Ono πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 335 KB πŸ‘ 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.