Fractional eigenvalues

We study the non-local eigenvalue problem for large values of and derive the limit equation as . Its viscosity solutions have many interesting properties and the eigenvalues exhibit a strange behaviour.

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Bibliographic Details
Published in:Calculus of variations and partial differential equations 2014, Vol.49 (1-2), p.795-826
Main Authors: Lindgren, Erik, Lindqvist, Peter
Format: Article
Language:English
Subjects:
Analysis
Calculus of variations
Calculus of Variations and Optimal Control
Optimization
Control
Eigenvalues
Fractions
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Systems Theory
Theoretical
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Description
Summary:We study the non-local eigenvalue problem for large values of and derive the limit equation as . Its viscosity solutions have many interesting properties and the eigenvalues exhibit a strange behaviour.
ISSN:0944-2669
1432-0835
DOI:10.1007/s00526-013-0600-1