This memoir considers the Dirichlet problem for parabolic operators in a half space with singular drift terms. Chapter I begins the study of a parabolic PDE mod

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The issue of regularity has played a central role in the theory of Partial Differential Equations almost since its inception, and despite the tremendous advance

This text considers a specific Volterra integral operator and investigates its degree of compactness in terms of properties of certain kernel functions. In part