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001476228 001__ 1476228
001476228 003__ OCoLC
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001476228 019__ $$a1395067651
001476228 020__ $$a9783031315619
001476228 020__ $$a3031315618
001476228 020__ $$z303131560X
001476228 020__ $$z9783031315602
001476228 0247_ $$a10.1007/978-3-031-31561-9$$2doi
001476228 035__ $$aSP(OCoLC)1395182816
001476228 040__ $$aEBLCP$$beng$$cEBLCP$$dYDX$$dGW5XE$$dEBLCP
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001476228 08204 $$a515/.42$$223/eng/20230829
001476228 1001_ $$aMitrea, Dorina,$$d1965-
001476228 24510 $$aGeometric harmonic analysis V :$$bFredholm theory and finer estimates for integral operators, with applications to boundary problems /$$cDorina Mitrea, Irina Mitrea, Marius Mitrea.
001476228 24630 $$aFredholm theory and finer estimates for integral operators, with applications to boundary problems
001476228 260__ $$aCham :$$bSpringer International Publishing AG,$$c2023.
001476228 300__ $$a1 online resource (xvi, 994 pages) :$$billustrations (some color).
001476228 4901_ $$aDevelopments in Mathematics Series ;$$vv.76
001476228 500__ $$aDescription based upon print version of record.
001476228 5050_ $$aIntro -- Description of Volume V -- Contents -- Distinguished Coefficient Tensors -- Some Useful Classes of Coefficient Tensors -- What Constitutes a Distinguished Coefficient Tensor -- The Significance of Distinguished Coefficient Tensors -- Behavior of Distinguished Coefficient Tensors Under Transposition -- The Issue of Uniqueness of a Distinguished Coefficient Tensor -- The Issue of Existence of a Distinguished Coefficient Tensor -- Failure of Fredholm Solvability for Weakly Elliptic Systems -- Nontangential Boundary Traces in the Upper Half-Space -- Conjugate Poisson Kernels
001476228 5058_ $$aDirichlet-to-Neumann Operators in the Euclidean Space -- Spaces of Vector-Valued Diverge-Free Harmonic Functions -- A Special System LD=-2div and Structure Theorems -- Spaces of Null-Solutions and Admissible Boundary Data for LD in the Upper Half-Space -- Quantifying Global and Infinitesimal Flatness -- Ahlfors Regular Domains and Flatness -- The Decomposition Theorem -- Planar Chord-Arc Domains and Flatness -- Oscillating AR Domains and Infinitesimally Flat AR Domains -- Norm Estimates and Invertibility Results for SIO's on Unbounded Boundaries
001476228 5058_ $$aNorm Estimates for Chord-Dot-Normal SIO's on Unbounded Boundaries -- Invertibility Results for Chord-Dot-Normal SIO's on Unbounded Boundaries -- Estimating Chord-Dot-Normal SIO's on Domains with Compact Boundaries -- Only Chord-Dot-Normal SIO's May Induce Compact Operators on Smooth Bounded Surfaces -- Chord-Dot-Normal SIO's on Lebesgue Spaces: the Flatter the Boundary, the Smaller the Essential Norm -- Essential Norm of Double Layer Estimable in Terms of Flatness if and only if Coefficient Tensor Distinguished -- Essential Norms and Fredholm Radii of Chord-Dot-Normal SIO's on Other Spaces
001476228 5058_ $$aConverse Inequalities: Quantifying Flatness in Terms of Essential Norms of SIO's -- The Radon-Carleman Problem -- Radon Curves and Radon Domains -- History of the Radon-Carleman Problem and Related Issues -- The Radon-Carleman Problem in UR Domains -- Fredholmness and Invertibility of Layer Potentials on Compact Boundaries -- Fredholmness and Invertibility of Layer Potentials on -Oscillating AR Domains -- Fredholm and Invertibility Properties of Boundary Layer Potentials in Energy Spaces -- Boundary Value Problems for Elliptic Systems in Rough Domains
001476228 5058_ $$aBoundary Problems in Domains with Compact Boundaries for Elliptic Systems -- Boundary Problems in Domains with Compact Boundaries for the Stokes System -- Boundary Value Problems in Scattering Theory -- Boundary Problems in Domains with Unbounded Boundaries for Elliptic Systems -- Boundary Problems in Domains with Unbounded Boundaries for the Stokes System -- Non-Fredholm Boundary Value Problems for Weakly Elliptic Systems -- Terms and notation used in Volume V -- References
001476228 506__ $$aAccess limited to authorized users.
001476228 520__ $$aThis monograph presents a comprehensive, self-contained, and novel approach to the Divergence Theorem through five progressive volumes. Its ultimate aim is to develop tools in Real and Harmonic Analysis, of geometric measure theoretic flavor, capable of treating a broad spectrum of boundary value problems formulated in rather general geometric and analytic settings. The text is intended for researchers, graduate students, and industry professionals interested in applications of harmonic analysis and geometric measure theory to complex analysis, scattering, and partial differential equations.The ultimate goal in Volume V is to prove well-posedness and Fredholm solvability results concerning boundary value problems for elliptic second-order homogeneous constant (complex) coefficient systems, and domains of a rather general geometric nature. The formulation of the boundary value problems treated here is optimal from a multitude of points of view, having to do with geometry, functional analysis (through the consideration of a large variety of scales of function spaces), topology, and partial differential equations.
001476228 650_0 $$aGeometric measure theory.
001476228 650_0 $$aDivergence theorem.
001476228 650_0 $$aBoundary layer.
001476228 655_0 $$aElectronic books.
001476228 7001_ $$aMitrea, Irina.
001476228 7001_ $$aMitrea, Marius.
001476228 77608 $$iPrint version:$$aMitrea, Dorina$$tGeometric Harmonic Analysis V$$dCham : Springer International Publishing AG,c2023$$z9783031315602
001476228 830_0 $$aDevelopments in mathematics ;$$vv. 76.
001476228 852__ $$bebk
001476228 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-31561-9$$zOnline Access$$91397441.1
001476228 909CO $$ooai:library.usi.edu:1476228$$pGLOBAL_SET
001476228 980__ $$aBIB
001476228 980__ $$aEBOOK
001476228 982__ $$aEbook
001476228 983__ $$aOnline
001476228 994__ $$a92$$bISE