Finite-Time Blowup for Wave Equations with a Potential
β Scribed by Yordanov, Borislav; Zhang, Qi S.
- Book ID
- 118198855
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2005
- Tongue
- English
- Weight
- 134 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0036-1410
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract We first establish the local wellβposedness for a new periodic nonlinearly dispersive wave equation. We then present a precise blowup scenario and several blowup results of strong solutions to the equation. The obtained blowup results on the equation improve considerably recent results
## Abstract We consider the following semilinear wave equation: equation image for (__t__,__x__) β β~__t__~ Γ β. We prove that if the potential __V__(__t__,__x__) is a measurable function that satisfies the following decay assumption: β£__V__(__t__,__x__)β£β©½__C__(1+__t__)(1+β£__x__β£) for a.e. (__t_