Memoirs of the American Mathematical Society 2001; 113 pp; softcover Volume: 151 ISBN10: 0821826840 ISBN13: 9780821826843 List Price: US$53 Individual Members: US$31.80 Institutional Members: US$42.40 Order Code: MEMO/151/719
 In this memoir we consider the Dirichlet problem for parabolic operators in a half space with singular drift terms. In chapter I we begin the study of a parabolic PDE modeled on the pullback of the heat equation in certain time varying domains considered by LewisMurray and HofmannLewis. In chapter II we obtain mutual absolute continuity of parabolic measure and Lebesgue measure on the boundary of this halfspace and also that the \(L^q(R^n)\) Dirichlet problem for these PDE's has a solution when \(q\) is large enough. In chapter III we prove an analogue of a theorem of Fefferman, Kenig, and Pipher for certain parabolic PDE's with singular drift terms. Each of the chapters that comprise this memoir has its own numbering system and list of references. Readership Graduate students and research mathematicians interested in Fourier analysis and partial differential equations. Table of Contents  The Dirichlet problem and parabolic measure
 Absolute continuity and the \(L^p\) Dirichlet problem: Part 1
 Absolute continuity and the \(L^p\) Dirichlet problem: Part 2
