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 |
|---|---|
| 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
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Cite this
Georgiev, V., & Todorova, G. (1994). Existence of a solution of the wave equation with nonlinear damping and source terms. Journal of Differential Equations, 109(2), 295-308. https://doi.org/10.1006/jdeq.1994.1051