00806nam0-2200277 --450 991098628580332120250325092454.020250325d1887----kmuy0itay5050 baitaITa 001yy<<L'>>elettricita staticaT. P. Treglohantraduzione di A. MartinelliMilanoEditori dell'Elettricita1887197 p.ill.19 cmBiblioteca dell'elettricità2Elettricità statica621.3123itaTreglohan,T. P.1796422Martinelli,A.ITUNINAREICATUNIMARCBK9910986285803321A BOT 76103/2374/25FAGBCFAGBCElettricita statica4338180UNINA04229nam 22006735 450 991043814900332120251113184445.03-642-32666-810.1007/978-3-642-32666-0(CKB)3400000000102762(SSID)ssj0000831486(PQKBManifestationID)11512003(PQKBTitleCode)TC0000831486(PQKBWorkID)10880532(PQKB)11199856(DE-He213)978-3-642-32666-0(MiAaPQ)EBC3107077(PPN)168322412(EXLCZ)99340000000010276220130107d2013 u| 0engurnn|008mamaatxtccrMulti-Layer Potentials and Boundary Problems for Higher-Order Elliptic Systems in Lipschitz Domains /by Irina Mitrea, Marius Mitrea1st ed. 2013.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2013.1 online resource (X, 424 p.) Lecture Notes in Mathematics,1617-9692 ;2063Bibliographic Level Mode of Issuance: Monograph3-642-32665-X Includes bibliographical references (pages 405-410) and indexes.1 Introduction -- 2 Smoothness scales and Caldeón-Zygmund theory in the scalar-valued case -- 3 Function spaces of Whitney arrays -- 4 The double multi-layer potential operator -- 5 The single multi-layer potential operator -- 6 Functional analytic properties of multi-layer potentials and boundary value problems.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.Lecture Notes in Mathematics,1617-9692 ;2063Potential theory (Mathematics)Differential equationsIntegral equationsFourier analysisPotential TheoryDifferential EquationsIntegral EquationsFourier AnalysisPotential theory (Mathematics)Differential equations.Integral equations.Fourier analysis.Potential Theory.Differential Equations.Integral Equations.Fourier Analysis.515.35Mitrea Irinaauthttp://id.loc.gov/vocabulary/relators/aut479684Mitrea Mariusauthttp://id.loc.gov/vocabulary/relators/autBOOK9910438149003321Multi-Layer Potentials and Boundary Problems2515934UNINA