Energy partition for the linear radial wave equation
✍ Scribed by Côte, Raphaël; Kenig, Carlos E.; Schlag, Wilhelm
- Book ID
- 124057329
- Publisher
- Springer
- Year
- 2013
- Tongue
- English
- Weight
- 371 KB
- Volume
- 358
- Category
- Article
- ISSN
- 0025-5831
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## Abstract Dissipative perturbations of hyperbolic equations such as __u__~__tt__~ + __Bu__~__t__~ + __A__^2^__u__ = 0 with positive operators __A__, __B__ are considered. The rates of decay and partition of energy theorems are established for solutions of these equations.
## Abstract The Cauchy problem for semilinear wave equations u~tt~ − Δ__u__ + __h__(|__x__|)__u__^__p__^ = 0 with radially symmetric smooth ‘large’ data has a unique global classical solution in arbitrary space dimensions if __h__ is non‐negative and __p__ any odd integer provided the smooth factor