Some remarks on the wave equations with nonlinear damping and source terms
โ Scribed by Ryo Ikehata
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 564 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0362-546X
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๐ SIMILAR VOLUMES
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
## Abstract In this paper we consider a nonlinear wave equation with damping and source term on the whole space. For linear damping case, we show that the solution blows up in finite time even for vanishing initial energy. The criteria to guarantee blowup of solutions with positive initial energy a
This article addresses nonlinear wave equations with supercritical interior and boundary sources, and subject to interior and boundary damping. The presence of a nonlinear boundary source alone is known to pose a significant difficulty since the linear Neumann problem for the wave equation is not, i