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摘要


Let B be a reflexive Banach space, X a locally convex space and T: B→X (not necessarily bounded) linear transformation. A necessary and sufficient condition is obtained so that for a given v ∈ X there is a solution for the equation Tu=v. This result is used to discuss the existence of an L^p-weak solution of Du=v where D is a differential operator with smooth coefficients and v ∈ L^p

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