Estimates for Derivatives and Integrals of Eigenfunctions and Associated Functions of Nonself-adjoint Sturm-Liouville Operator With Discontinuous Coefficients (III)

Nebojša L. Lažetić

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Much of this paper will be concerned with the proof of the following Theorem 1. Suppose d ≥ 3, r = max {d, (3d - 4)/2}. If V ∈ L_loc ^r(R^d), then the differential inequality |Δu| ≤ V |∇u| has the strong unique continuation property in the following sense: If u belongs to the Sobolev space W_loc ^2,p and if |Δu|...