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Numerical verifications for eigenvalues of second-order elliptic operators

โœ Scribed by M. T. Nakao; N. Yamamoto; K. Nagatou


Publisher
Japan Society for Industrial and Applied Mathematics
Year
1999
Tongue
English
Weight
673 KB
Volume
16
Category
Article
ISSN
0916-7005

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In this paper the work of Berestycki, Nirenberg and Varadhan on the maximum principle and the principal eigenvalue for second order operators on general domains is extended to Riemannian manifolds. In particular it is proved that the refined maximum principle holds for a second order elliptic operat