Singular Integral Operators, Quantitative Flatness, and Boundary Problems - José María Martell,Juan José Marín,Irina Mitrea,Marius Mitrea,Dorina Mitrea
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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 underl ... Full description
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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.
More Information
| Author | José María Martell, Juan José Marín, Irina Mitrea, Marius Mitrea, Dorina Mitrea |
|---|---|
| Publisher | Springer Nature Switzerland |
| Release year | 2022 |
| Cover type | Hardcover |
| EAN | 9783031082337 |