Abstract
We study the nonlinear wave equation involving the nonlinear damping term ut |ut|m-1 and a source term of type u |u|p-1. For 1 < p ≤ m we prove a global existence theorem with large initial data. For 1 < m < p a blow-up result is established for sufficiently large initial data.
Original language | English |
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Pages (from-to) | 295-308 |
Number of pages | 14 |
Journal | Journal of Differential Equations |
Volume | 109 |
Issue number | 2 |
DOIs | |
Publication status | Published - 1994 Apr 15 |
Externally published | Yes |
ASJC Scopus subject areas
- Analysis
- Applied Mathematics