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The Dirichlet problem for parabolic operators with singular drift terms / Steve Hofmann, John L. Lewis.
- Format:
- Book
- Author/Creator:
- Hofmann, Steve, 1958- author.
- Lewis, John L., 1943- author.
- Series:
- Memoirs of the American Mathematical Society ; no. 719.
- Memoirs of the American Mathematical Society, 0065-9266 ; number 719
- Language:
- English
- Subjects (All):
- Dirichlet problem.
- Parabolic operators.
- Physical Description:
- 1 online resource (129 p.)
- Edition:
- 1st ed.
- Place of Publication:
- Providence, Rhode Island : American Mathematical Society, [2001]
- Language Note:
- English
- Summary:
- 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 modelled on the pullback of the heat equation in certain time varying domains considered by Lewis-Murray and Hofmann-Lewis. Chapter II obtains mutual absolute continuity of parabolic measure and Lebesgue measure on the boundary of this halfspace and also that the $L DEGREESq(R DEGREESn)$ Dirichlet problem for these PDEs has a solution when $q$ is large enough. Chapter III proves an analogue of a theorem of Fefferman, Kenig, and Pipher for certain parabolic PDEs with singular drift terms. Each of the chapters that comprise this memoir has its own numbering system and list
- Contents:
- ""Contents""; ""Chapter I. The Dirichlet Problem and Parabolic Measure""; ""1. Introduction""; ""2. Statement of Results""; ""3. Basic Estimates""; ""4. Proof of Theorem 2.13 in a Special Case""; ""5. Proof of Theorem 2.13""; ""6. References""; ""Chapter II. Absolute Continuity and the L[sup(p)] Dirichlet Problem: Part 1""; ""1. Introduction""; ""2. Preliminary Reductions for Theorem 1.10""; ""3. Lemmas on Parabolic Measure""; ""4. Extrapolation""; ""5. References""; ""Chapter III. Absolute Continuity and the L[sup(p)] Dirichlet Problem: Part 2""; ""1. Introduction""
- ""2. Proof of Theorem 1.7 in a Special Case""""3. Proof of Theorem 1.7""; ""4. Elliptic Results""; ""5. References""
- Notes:
- "Volume 151, number 719 (end of volume)."
- Includes bibliographical references.
- Description based on print version record.
- ISBN:
- 1-4704-0312-9
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