Abstract
Using the almost-positivity of a class of fourth-order pseudo-differential operators, we prove the inequality $$L = \sum\nolimits_{j = 1}^m {X_j^* X_j } + X_0 $$ where X0,Xj ∃ ψ phg 1 (Ω), with Xj,X complex-valued, are given.
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