Singular asymptotic expansions for Dirichlet eigenvalues and eigenfunctions of the laplacian on thin planar domains
Denis Borisov, Pedro Freitas (2009)
Annales de l'I.H.P. Analyse non linéaire
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Displaying similar documents to “Asymptotics of the spectral function for the Steklov problem in a family of sets with fractal boundaries.”
Singular asymptotic expansions for Dirichlet eigenvalues and eigenfunctions of the laplacian on thin planar domains
On the differential operators with periodic matrix coefficients.
Veliev, O.A. (2009)
Abstract and Applied Analysis
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Uniform convergence of the spectral expansion for a differential operator with periodic matrix coefficients.
Veliev, O.A. (2008)
Boundary Value Problems [electronic only]
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Shape sensitivity analysis of eigenvalues revisited
Serguei Nazarov, Jan Sokołowski (2008)
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On the asymptotics of solutions to the second initial boundary value problem for Schrödinger systems in domains with conical points
Nguyen Manh Hung, Hoang Viet Long, Nguyen Thi Kim Son (2013)
Applications of Mathematics
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In this paper, for the second initial boundary value problem for Schrödinger systems, we obtain a performance of generalized solutions in a neighborhood of conical points on the boundary of the base of infinite cylinders. The main result are asymptotic formulas for generalized solutions in case the associated spectrum problem has more than one eigenvalue in the strip considered.
Localization effects for eigenfunctions near to the edge of a thin domain
Nazarov, Serguei A.
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