The Dirichlet Problem for Parabolic Operators with Singular Drift Terms

Released on by Steve Hofmann
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  • The Dirichlet Problem for Parabolic Operators with Singular Drift Terms Book Detail

  • Author : Steve Hofmann
  • Release Date : 2001
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 129
  • ISBN 13 : 0821826840
  • File Size : 83,83 MB
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The Dirichlet Problem for Parabolic Operators with Singular Drift Terms by Steve Hofmann PDF Summary

Book Description: 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

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