Asymptotic-perturbational eigenvalues for the multidimensional wave equation in nonseparable systems
β Scribed by Masahiro Hashimoto
- Publisher
- Elsevier Science
- Year
- 1983
- Tongue
- English
- Weight
- 228 KB
- Volume
- 47
- Category
- Article
- ISSN
- 0030-4018
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π SIMILAR VOLUMES
## 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^
In this paper we study a continuous-time multiparameter algebraic Riccati equation (MARE) with an indefinite sign quadratic term. The existence of a unique and bounded solution of the MARE is newly established. We show that the Kleinman algorithm can be used to solve the sign indefinite MARE. The pr