Bilaplacian problems with a sign-changing coefficient
نویسندگان
چکیده
منابع مشابه
Bilaplacian problems with a sign-changing coefficient
We investigate the properties of the operator ∆(σ∆·) : H0(Ω) → H−2(Ω), where σ is a given parameter whose sign can change on the bounded domain Ω. Here, H0(Ω) denotes the subspace of H2(Ω) made of the functions v such that v = ν · ∇v = 0 on ∂Ω. The study of this problem arises when one is interested in some configurations of the Interior Transmission Eigenvalue Problem. We prove that ∆(σ∆·) : H...
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ژورنال
عنوان ژورنال: Mathematical Methods in the Applied Sciences
سال: 2014
ISSN: 0170-4214
DOI: 10.1002/mma.3366