The Interval Of Resolvent-Positivity For The Biharmonic Operator

M Ulm

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY（1999）

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摘要

For an operator A on a Banach lattice we examine the interval on the real line for which the resolvent (lambda - A)(-1) is positive. This positivity interval is then explicitly calculated for the biharmonic operator Af = -f'''' with three different boundary conditions.

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关键词

biharmonic operator,resolvent-positivity

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