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.
|Original language||English (US)|
|Number of pages||15|
|Journal||Communications on Pure and Applied Mathematics|
|State||Published - Mar 1996|
All Science Journal Classification (ASJC) codes
- Applied Mathematics