Singular integral operators, quantitative flatness, and boundary problems / Juan José Marín, José María Martell, Dorina Mitrea, Irina Mitrea, Marius Mitrea
Type de document : MonographieCollection : Progress in mathematics, volume 344Langue : anglais.Pays: Swisse.Éditeur : 2022Description : 1 volume (viii-601 p.) : ill.ISBN: 9783031082337; 9783031082368.Bibliographie : Bibliogr. p. 587-593. Index.Sujet MSC : 31B10, Higher-dimensional potential theory, Integral representations, integral operators, integral equations methods in higher dimensions35B65, Qualitative properties of solutions to partial differential equations, Pattern formations in context of PDEs
35C15, Representations of solutions to partial differential equations, Integral representations of solutions to PDEs
35J25, Elliptic equations and elliptic systems, Boundary value problems for second-order elliptic equations
35J57, Elliptic equations and elliptic systems, Boundary value problems for second-order elliptic systems
35J67, Elliptic equations and elliptic systems, Boundary values of solutions to elliptic equations and elliptic systems
42B20, Harmonic analysis in several variables, Singular and oscillatory integrals
42B37, Harmonic analysis in several variables, Harmonic analysis and PDEs
| Item type | Current library | Call number | Status | Date due | Barcode |
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Monographie
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CMI Salle 1 | 31 MAR (Browse shelf(Opens below)) | Available | 12686-01 |
Bibliogr. p. 587-593. Index
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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