Scaling Variables and Asymptotic Expansions in Damped Wave Equations
β Scribed by Th Gallay; G Raugel
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 685 KB
- Volume
- 150
- Category
- Article
- ISSN
- 0022-0396
No coin nor oath required. For personal study only.
π 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.
Two simple pairs of asymptotic expansions in terms of Hermite functions are obtained for the'solutions of the ellipsoidal wave equation.
## Abstract We present a global existence theorem for solutions of __u__^__tt__^ β β~__i__~__a__~__ik__~ (__x__)β~__k__~__u__ + u~t~ = Ζ(__t__, __x__, __u__, __u__~__t__~, β__u__, β__u__~__t__~, β^2^__u__), __u__(__t__ = 0) = __u__^0^, __u__(=0)=__u__^1^, __u__(__t, x__), __t__ βͺ 0, __x__ϡΩ.Ξ© equal