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On a Variational Formula for the Principal Eigenvalue for Operators with Maximum Principle

In this paper a variational formula is obtained for the principal eigenvalue for operators with maximum principle. This variational formula does not require the operators to be self-adjoint. But if they are self-adjoint this formula reduces to the classical Rayleigh-Ritz formula.

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Bibliographische Detailangaben
Veröffentlicht in:Proc Natl Acad Sci U S A
Hauptverfasser: Donsker, Monroe D., Varadhan, S. R. S.
Format: Artigo
Sprache:Inglês
Veröffentlicht: National Academy of Sciences 1975
Schlagworte:
Online Zugang:https://ncbi.nlm.nih.govhttps://pmc.ncbi.nlm.nih.gov/articles/PMC432403/
https://ncbi.nlm.nih.govhttps://pubmed.ncbi.nlm.nih.gov/16592231/
https://ncbi.nlm.nih.govhttps://doi.org/10.1073/pnas.72.3.780
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