Titlebook: Recent Trends in Operator Theory and Partial Differential Equations; The Roland Duduchava Vladimir Maz‘ya,David Natroshvili,Wolfgang L. Wen

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,On Symmetries of the Feinberg–Zee Random Hopping Matrix,dom ±1’s on the first sub- and super-diagonals; the study of this non-selfadjoint random matrix was initiated in Feinberg and Zee (. . (1999), 6433–6443). Recently Hagger (., . 1550016 (2015)) has shown that the so-called . Σ. of Σ, conjectured to be the whole of Σ and known to include the unit disk

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High Frequency Oscillations of First Eigenmodes in Axisymmetric Shells as the Thickness Tends to Zeto zero. Using a novel asymptotic expansion we determine the behavior of the eigenvalue λ(.) and the eigenvector angular frequency .(.) for shells with Dirichlet boundary conditions along the lateral boundary, and natural boundary conditions on the other parts..First, the scalar Laplace operator for

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Spline Galerkin Methods for the Double Layer Potential Equations on Contours with Corners,tibility of some operators Rτ associated with the corner points τ. The operators Rτ do not depend on the shape of the contour but only on the opening angles of the corner points τ. The invertibility of these operators is studied numerically via the stability of the method on model curves, all corner

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A Local Uniqueness Result for a Quasi-linear Heat Transmission Problem in a Periodic Two-phase Diludic structure and consists of two materials. In each periodicity cell one material occupies a cavity of size ., and the second material fills the remaining part of the cell. We assume that the thermal conductivities of the materials depend nonlinearly upon the temperature. For . small enough the pro

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