A necessary and sufficient condition for a lower bound for fourth-order pseudodifferential operators |
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| Authors: | Cesare Parenti Alberto Parmeggiani |
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| Institution: | (1) Department of Mathematics, University of Bologna, Piazza di Porta S. Donato 5, 40127 Bologna, Italy |
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| Abstract: | We give necessary and sufficient conditions for the lower bound {fx55-01} to hold for any compact setK ⊂X, an open set ofR
n
, andP =P* ∃ ψ
phg
4
(X) with p(x, ξ) ~ q
2
2
+ p3 + p2 + ..., q2 beingtransversally elliptic with respect to the characteristic manifold Σ =q
2
-1 (0). |
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| Keywords: | |
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