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On the second term of the spectral asymptotics of the transmission problem

On the second term of the spectral asymptotics of the transmission problem This article is devoted to the investigation of spectral asymptotics for the second-order differential operator with transmission boundary conditions. A two-term asymptotic formula is obtained for the distribution function of eigenvalues under some assumptions not excluding the reach set of periodic billiard trajectories. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Applicandae Mathematicae Springer Journals

On the second term of the spectral asymptotics of the transmission problem

Acta Applicandae Mathematicae , Volume 10 (2) – May 1, 2004

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References (15)

Publisher
Springer Journals
Copyright
Copyright
Subject
Mathematics; Computational Mathematics and Numerical Analysis; Applications of Mathematics; Partial Differential Equations; Probability Theory and Stochastic Processes; Calculus of Variations and Optimal Control; Optimization
ISSN
0167-8019
eISSN
1572-9036
DOI
10.1007/BF00046615
Publisher site
See Article on Publisher Site

Abstract

This article is devoted to the investigation of spectral asymptotics for the second-order differential operator with transmission boundary conditions. A two-term asymptotic formula is obtained for the distribution function of eigenvalues under some assumptions not excluding the reach set of periodic billiard trajectories.

Journal

Acta Applicandae MathematicaeSpringer Journals

Published: May 1, 2004

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