A problem for the polyharmonic equation in the sphere
β Scribed by V. V. Karachik
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1992
- Tongue
- English
- Weight
- 570 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0037-4466
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract Consider the polyharmonic wave equation β__u__ + (β Ξ)^__m__^__u__ = __f__ in β^__n__^ Γ (0, β) with timeβindependent rightβhand side. We study the asymptotic behaviour of __u__ (x, __t__) as __t__ β β and show that __u__(x, __t__) either converges or increases with order __t__^Ξ±^ or In
## Abstract Let Ξ© denote an unbounded domain in β^__n__^ having the form Ξ©=β^__l__^Γ__D__ with bounded crossβsection __D__ββ^__n__β__l__^, and let __m__ββ be fixed. This article considers solutions __u__ to the scalar wave equation β__u__(__t__,__x__) +(βΞ)^__m__^__u__(__t__,__x__) = __f__(__x__)e^