The Dirichlet problem for parabolic operators with singular drift terms
著者
書誌事項
The Dirichlet problem for parabolic operators with singular drift terms
（Memoirs of the American Mathematical Society, no. 719）
American Mathematical Society, 2001
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注記
"Volume 151, number 719 (end of 5 numbers)"
Includes bibliographical references
内容説明・目次
内容説明
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 Lewis-Murray and Hofmann-Lewis. 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.
目次
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.
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