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• W4250622982 endingPage "1240" @default.
• W4250622982 startingPage "1209" @default.
• W4250622982 abstract "Let [Formula: see text] be a formally self-adjoint (elliptic) operator in L 2 (ℝ n ), n ≥ 2. The real coefficients a j, k (x) = a k, j (x) are assumed to be bounded and to coincide with -Δ outside of a ball. The paper deals with two topics: (i) An eigenfunction expansion theorem, proving in particular that H is unitarily equivalent to -Δ, and (ii) Global spacetime estimates for the associated inhomogeneous wave equation, proved under suitable (nontrapping) additional assumptions on the coefficients. The main tool used here is a Limiting Absorption Principle (LAP) in the framework of weighted Sobolev spaces, which holds also at the threshold." @default.
• W4250622982 created "2022-05-12" @default.
• W4250622982 creator A5041159863 @default.
• W4250622982 date "2010-11-01" @default.
• W4250622982 modified "2023-10-17" @default.
• W4250622982 title "EIGENFUNCTION EXPANSIONS AND SPACETIME ESTIMATES FOR GENERATORS IN DIVERGENCE-FORM" @default.
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• W4250622982 doi "https://doi.org/10.1142/s0129055x10004193" @default.
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