We study the nonlinear wave equation involving the nonlinear damping term \(u_{i}\left|u_{t}\right|^{m-1}\) and a source term of type \(u|u|^{p-1}\). For \(1<p \leqslant m\) we prove a global existence theorem with large initial data. For \(1<m<p\) a blow-up result is established for sufficiently la
Wave equation with sources, invariant imbedding, and Bremmer series solutions
✍ Scribed by R. Bellman; R. Vasudevan
- Publisher
- Elsevier Science
- Year
- 1974
- Tongue
- English
- Weight
- 559 KB
- Volume
- 48
- Category
- Article
- ISSN
- 0022-247X
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