SIMPLICITY OF EXTREMAL EIGENVALUES OF THE KLEIN–GORDON EQUATION
نویسندگان
چکیده
منابع مشابه
Generic Simplicity of the Eigenvalues for a Supported Plate Equation
In this work, we show that the eigenvalues of the problem (∆2 + V (x) + λ)u(x) = 0 x ∈ Ω u(x) = ∆u(x) = 0 x ∈ ∂Ω are generically simple in the set of C4 regular regions of Rn, n ≥ 2. In fact, we prove that there exists a residual set of regions C4 diffeomorphic to a given Ω such that all the eigenvalues for a supported plate equation are simple.
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ژورنال
عنوان ژورنال: Reviews in Mathematical Physics
سال: 2011
ISSN: 0129-055X,1793-6659
DOI: 10.1142/s0129055x11004382