The interval of resolvent-positivity for the biharmonic operator
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- by Michael Ulm PDF
- Proc. Amer. Math. Soc. 127 (1999), 481-489 Request permission
Abstract:
For an operator $A$ on a Banach lattice we examine the interval on the real line for which the resolvent $\left ( \lambda - A \right )^{-1}$ is positive. This positivity interval is then explicitly calculated for the biharmonic operator $A f = - f''''$ with three different boundary conditions.References
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Additional Information
- Michael Ulm
- Affiliation: Abteilung Mathematik V, Universität Ulm, D-89069 Ulm, Germany
- Email: ulm@mathematik.uni-ulm.de
- Received by editor(s): April 19, 1996
- Received by editor(s) in revised form: May 22, 1997
- Communicated by: Palle E. T. Jorgensen
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 127 (1999), 481-489
- MSC (1991): Primary 34L40, 35B50, 47A10
- DOI: https://doi.org/10.1090/S0002-9939-99-04556-6
- MathSciNet review: 1468205