A connection between spectral radius and trace
J. Długosz (1981)
Colloquium Mathematicae
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J. Długosz (1981)
Colloquium Mathematicae
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Martin Mathieu (2005)
Banach Center Publications
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In this survey, we summarise some of the recent progress on the structure of spectral isometries between C*-algebras.
Stefania Patrizi (2011)
ESAIM: Control, Optimisation and Calculus of Variations
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We prove the existence of a principal eigenvalue associated to the ∞-Laplacian plus lower order terms and the Neumann boundary condition in a bounded smooth domain. As an application we get uniqueness and existence results for the Neumann problem and a decay estimate for viscosity solutions of the Neumann evolution problem.
Stefania Patrizi (2011)
ESAIM: Control, Optimisation and Calculus of Variations
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We prove the existence of a principal eigenvalue associated to the ∞-Laplacian plus lower order terms and the Neumann boundary condition in a bounded smooth domain. As an application we get uniqueness and existence results for the Neumann problem and a decay estimate for viscosity solutions of the Neumann evolution problem.
M. Gromov, M.A. Shubin (1991)
Geometric and functional analysis
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Bernard Delyon, François Delyon (1999)
Bulletin de la Société Mathématique de France
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M. Gromov, M. Shubin (1995)
Geometric and functional analysis
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Maksudov, F.G. (1997)
Memoirs on Differential Equations and Mathematical Physics
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Wills, M.D. (2010)
International Journal of Mathematics and Mathematical Sciences
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Raikov, G.D. (1999)
Mathematical Physics Electronic Journal [electronic only]
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Lihua You, Yujie Shu, Xiao-Dong Zhang (2016)
Czechoslovak Mathematical Journal
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We obtain a sharp upper bound for the spectral radius of a nonnegative matrix. This result is used to present upper bounds for the adjacency spectral radius, the Laplacian spectral radius, the signless Laplacian spectral radius, the distance spectral radius, the distance Laplacian spectral radius, the distance signless Laplacian spectral radius of an undirected graph or a digraph. These results are new or generalize some known results.
David Krejčiřík (2009)
ESAIM: Control, Optimisation and Calculus of Variations
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We consider the laplacian in a domain squeezed between two parallel curves in the plane, subject to Dirichlet boundary conditions on one of the curves and Neumann boundary conditions on the other. We derive two-term asymptotics for eigenvalues in the limit when the distance between the curves tends to zero. The asymptotics are uniform and local in the sense that the coefficients depend only on the extremal points where the ratio of the curvature radii of the Neumann boundary to the Dirichlet...