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• W2021164513 abstract "We give explicit necessary and sufficient conditions for the boundedness of the general second-order differential operator with real- or complex-valued distributional coefficients aij, bj, and c, acting from the Sobolev space W1, 2(ℝn) to its dual W−1, 2(ℝn). This enables us to obtain analytic criteria for the fundamental notions of relative form boundedness, compactness, and infinitesimal form boundedness of ℒ︁ with respect to the Laplacian on L2(ℝn). In particular, we establish a complete characterization of the form boundedness of the Schrödinger operator with magnetic vector potential and q ∈ D′(ℝn). © 2005 Wiley Periodicals, Inc." @default.
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• W2021164513 date "2006-01-01" @default.
• W2021164513 modified "2023-10-16" @default.
• W2021164513 title "Form boundedness of the general second-order differential Operator" @default.
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• W2021164513 doi "https://doi.org/10.1002/cpa.20122" @default.
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