✦ LIBER ✦

On almost global existence for nonrelativistic wave equations in 3D

✍ Scribed by Sergiu Klainerman; Thomas C. Sideris

Publisher: John Wiley and Sons
Year: 1996
Tongue: English
Weight: 507 KB
Volume: 49
Category: Article
ISSN: 0010-3640
DOI: 10.1002/(sici)1097-0312(199603)49:3<307::aid-cpa4>3.0.co;2-h

No coin nor oath required. For personal study only.

✦ Synopsis

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. @ 1996

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