Abstract
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) |
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Pages (from-to) | 307-321 |
Number of pages | 15 |
Journal | Communications on Pure and Applied Mathematics |
Volume | 49 |
Issue number | 3 |
DOIs | |
State | Published - Mar 1996 |
All Science Journal Classification (ASJC) codes
- General Mathematics
- Applied Mathematics