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Mitrea, IrinaMitrea, Marius:
Multi-Layer Potentials and Boundary Problems - edizione con copertina flessibile2013, ISBN: 9783642326653
[ED: Softcover], [PU: Springer / Springer Berlin Heidelberg / Springer, Berlin], Many phenomena in engineering and mathematical physics can be modeled by means of boundary value problems … Altro …
ISBN: 9783642326653
Many phenomena in engineering and mathematical physics can be modeled by means of boundary value problems for a certain elliptic differential operator in a given domain. When the differen… Altro …
2013, ISBN: 364232665X
Multi-Layer Potentials and Boundary Problems ab 69.49 € als Taschenbuch: for Higher-Order Elliptic Systems in Lipschitz Domains. Auflage 2013. Aus dem Bereich: Bücher, Taschenbücher, Natu… Altro …
2013, ISBN: 9783642326653
for Higher-Order Elliptic Systems in Lipschitz Domains, Buch, Softcover, 2013, [PU: Springer Berlin], Springer Berlin, 2013
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Many phenomena in engineering and mathematical physics can be modeled by means of boundary value problems for a certain elliptic differential operator in a given domain. When the differential operator under discussion is of second order a variety of tools are available for dealing with such problems, including boundary integral methods, variational methods, harmonic measure techniques, and methods based on classical harmonic analysis. When the differential operator is of higher-order (as is the case, e.g., with anisotropic plate bending when one deals with a fourth order operator) only a few options could be successfully implemented. In the 1970s Alberto Calderón, one of the founders of the modern theory of Singular Integral Operators, advocated the use of layer potentials for the treatment of higher-order elliptic boundary value problems. The present monograph represents the first systematic treatment based on this approach.
This research monograph lays, for the first time, the mathematical foundation aimed at solving boundary value problems for higher-order elliptic operators in non-smooth domains using the layer potential method and addresses a comprehensive range of topics, dealing with elliptic boundary value problems in non-smooth domains including layer potentials, jump relations, non-tangential maximal function estimates, multi-traces and extensions, boundary value problems with data in Whitney–Lebesque spaces, Whitney–Besov spaces, Whitney–Sobolev- based Lebesgue spaces, Whitney–Triebel–Lizorkin spaces,Whitney–Sobolev-based Hardy spaces, Whitney–BMO an
Informazioni dettagliate del libro - Multi-Layer Potentials and Boundary Problems
EAN (ISBN-13): 9783642326653
ISBN (ISBN-10): 364232665X
Copertina rigida
Copertina flessibile
Anno di pubblicazione: 2013
Editore: Springer Berlin
Libro nella banca dati dal 2014-03-17T07:31:35+01:00 (Zurich)
Pagina di dettaglio ultima modifica in 2022-05-02T13:56:03+02:00 (Zurich)
ISBN/EAN: 9783642326653
ISBN - Stili di scrittura alternativi:
3-642-32665-X, 978-3-642-32665-3
Stili di scrittura alternativi e concetti di ricerca simili:
Autore del libro : irina, lipschitz, maximal function methods sobolev spaces
Titolo del libro: layer layer, problem higher mathematics, problems higher mathematics, elliptic domains, boundary, lipschitz, 2063
Dati dell'editore
Autore: Irina Mitrea; Marius Mitrea
Titolo: Lecture Notes in Mathematics; Multi-Layer Potentials and Boundary Problems - for Higher-Order Elliptic Systems in Lipschitz Domains
Editore: Springer; Springer Berlin
424 Pagine
Anno di pubblicazione: 2013-01-05
Berlin; Heidelberg; DE
Stampato / Fatto in
Lingua: Inglese
53,49 € (DE)
54,99 € (AT)
59,00 CHF (CH)
POD
X, 424 p.
BC; Hardcover, Softcover / Mathematik/Analysis; Mathematische Analysis, allgemein; Verstehen; Mathematik; 35C15, 78A30, 78A45, 31B10, 35J05, 35J25; Lipschitz domains; Whitney arrays; multiple layers; trace and extensions; partial differential equations; Potential Theory; Differential Equations; Integral Equations; Fourier Analysis; Differentialrechnung und -gleichungen; Integralrechnung und -gleichungen; Funktionalanalysis und Abwandlungen; EA
Many phenomena in engineering and mathematical physics can be modeled by means of boundary value problems for a certain elliptic differential operator in a given domain. When the differential operator under discussion is of second order a variety of tools are available for dealing with such problems, including boundary integral methods, variational methods, harmonic measure techniques, and methods based on classical harmonic analysis. When the differential operator is of higher-order (as is the case, e.g., with anisotropic plate bending when one deals with a fourth order operator) only a few options could be successfully implemented. In the 1970s Alberto Calderón, one of the founders of the modern theory of Singular Integral Operators, advocated the use of layer potentials for the treatment of higher-order elliptic boundary value problems. The present monograph represents the first systematic treatment based on this approach.This research monograph lays, for the first time, the mathematical foundation aimed at solving boundary value problems for higher-order elliptic operators in non-smooth domains using the layer potential method and addresses a comprehensive range of topics, dealing with elliptic boundary value problems in non-smooth domains including layer potentials, jump relations, non-tangential maximal function estimates, multi-traces and extensions, boundary value problems with data in Whitney–Lebesque spaces, Whitney–Besov spaces, Whitney–Sobolev- based Lebesgue spaces, Whitney–Triebel–Lizorkin spaces,Whitney–Sobolev-based Hardy spaces, Whitney–BMO and Whitney–VMO spaces.Aimed at people working in different areas of mathematics with different levels of expertise, and with different goals in mind The topics are new and mathematically sophisticated Readable, self-contained and has pedagogical value Comprehensive range of topics makes a suitable and much needed reference for mathematicians and engineers Includes supplementary material: sn.pub/extras
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