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The Method of Layer Potentials for the Heat Equation in Time Varying Domains Book PDF Summary

This memoir consists of three papers in which we develop the method of layer potentials for the heat equation in time-varying domains. In Chapter I we show certain singular integral operators on [italic]L[superscript italic]p are bounded. in Chapter II, we develop a modification of the David buildup scheme to obtain [italic]L[superscript italic]p boundedness of the double layer heat potential on the boundary of our domains. In Chapter III, we use the results of the first two chapters to show the mutual absolute continuity of parabolic measure and a certain projective Lebesgue measure.

Detail Book of The Method of Layer Potentials for the Heat Equation in Time Varying Domains PDF

The Method of Layer Potentials for the Heat Equation in Time Varying Domains
  • Author : John L. Lewis
  • Release : 21 September 1995
  • Publisher : American Mathematical Soc.
  • ISBN : 9780821803608
  • Genre : Mathematics
  • Total Page : 170 pages
  • Language : English
  • PDF File Size : 19,9 Mb

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