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A uniform local energy decay result is derived to a compactly perturbed hyperbolic equation with spatial variable coefficients. We shall deal with this equation in an N -dimensional exterior domain with a star-shaped complement. Our advantage is that we do not assume any compactness of the support on the initial data and the equation includes anisotropic variable coefficients {a i (x) : i = 1, 2, . . . , N}, which are not necessarily equal to each other.
๐ SIMILAR VOLUMES
## The Krein-von Neumann extension and its connection to an abstract buckling problem We prove the unitary equivalence of the inverse of the Krein-von Neumann extension (on the orthogonal complement of its kernel) of a densely defined, closed, strictly positive operator, S โฅ ฮตI H for some ฮต > 0 in
We solve a boundary interpolation problem at a real point for generalized Nevanlinna functions, and use the result to prove uniqueness theorems for generalized Nevanlinna functions.
We study spectral properties of boundary integral operators which naturally arise in the study of the Maxwell system of equations in a Lipschitz domain ฮฉ โ R 3 . By employing Rellich-type identities we show that the spectrum of the magnetic dipole boundary integral operator (composed with an appropr