We give necessary and sufficient conditions for the lower bound (Pu, u) ≥-CK|u|(1/2)2, CK >, 0 ∀u ∈ C0∞(K) to hold for any compact set K ⊂ X, an open set of Rn, and P = P* ∈ ψphg4 (X) with p(x, ξ) ∼ q22 + P3 + P2 + ⋯, q2 being transversally elliptic with respect to the characteristic manifold Σ = q2-1(0).
Parenti, C., Parmeggiani, A. (1996). A necessary and sufficient condition for a lower bound for fourth-order pseudodifferential operators. JOURNAL D'ANALYSE MATHEMATIQUE, 69(1), 55-65 [10.1007/BF02787101].
A necessary and sufficient condition for a lower bound for fourth-order pseudodifferential operators
Parenti C.;Parmeggiani A.
1996
Abstract
We give necessary and sufficient conditions for the lower bound (Pu, u) ≥-CK|u|(1/2)2, CK >, 0 ∀u ∈ C0∞(K) to hold for any compact set K ⊂ X, an open set of Rn, and P = P* ∈ ψphg4 (X) with p(x, ξ) ∼ q22 + P3 + P2 + ⋯, q2 being transversally elliptic with respect to the characteristic manifold Σ = q2-1(0).File in questo prodotto:
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