๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Almost global existence for some semilinear wave equations

โœ Scribed by Markus Keel; Hart F. Smith; Christopher D. Sogge

Publisher
Springer-Verlag
Year
2002
Tongue
English
Weight
535 KB
Volume
87
Category
Article
ISSN
0021-7670

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

On almost global existence for nonrelati
On almost global existence for nonrelativistic wave equations in 3D
โœ Sergiu Klainerman; Thomas C. Sideris ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 507 KB

Almost global solutions are constructed to three-dimensional, quadratically nonlinear wave equations. The proof relies on generalized energy estimates and a new decay estimate. The method applies to equations that are only classically invariant, such as the nonlinear system of hyperelasticity. @ 199

Existence and nonexistence of global sol
Existence and nonexistence of global solutions of some system of semilinear wave equations
โœ Meng-Rong Li; Long-Yi Tsai ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 213 KB

An initial boundary value problem for systems of semilinear wave equations in a bounded domain is considered. We prove the global existence, uniqueness and blow-up of solutions by energy methods and give some estimates for the lifespan of solutions.