Singular Integral Operators, Quantitative Flatness, and Boundary Problems

Released on by Juan José Marín
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  • Singular Integral Operators, Quantitative Flatness, and Boundary Problems Book Detail

  • Author : Juan José Marín
  • Release Date : 2022-09-29
  • Publisher : Springer Nature
  • Genre : Mathematics
  • Pages : 605
  • ISBN 13 : 3031082346
  • File Size : 55,55 MB
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Singular Integral Operators, Quantitative Flatness, and Boundary Problems by Juan José Marín PDF Summary

Book Description: This monograph provides a state-of-the-art, self-contained account on the effectiveness of the method of boundary layer potentials in the study of elliptic boundary value problems with boundary data in a multitude of function spaces. Many significant new results are explored in detail, with complete proofs, emphasizing and elaborating on the link between the geometric measure-theoretic features of an underlying surface and the functional analytic properties of singular integral operators defined on it. Graduate students, researchers, and professionals interested in a modern account of the topic of singular integral operators and boundary value problems – as well as those more generally interested in harmonic analysis, PDEs, and geometric analysis – will find this text to be a valuable addition to the mathematical literature.

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Weighted Morrey Spaces

Weighted Morrey Spaces

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This monograph is a testament to the potency of the method of singular integrals of layer potential type in solving boundary value problems for weakly elliptic