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OverviewSobolev spaces become the established and universal language of partial differential equations and mathematical analysis. Among a huge variety of problems where Sobolev spaces are used, the following important topics are the focus of this volume: boundary value problems in domains with singularities, higher order partial differential equations, local polynomial approximations, inequalities in Sobolev-Lorentz spaces, function spaces in cellular domains, the spectrum of a Schrodinger operator with negative potential and other spectral problems, criteria for the complete integration of systems of differential equations with applications to differential geometry, some aspects of differential forms on Riemannian manifolds related to Sobolev inequalities, Brownian motion on a Cartan-Hadamard manifold, etc. Two short biographical articles on the works of Sobolev in the 1930s and the foundation of Akademgorodok in Siberia, supplied with unique archive photos of S. Sobolev are included. Full Product DetailsAuthor: Vladimir Maz'yaPublisher: Springer-Verlag New York Inc. Imprint: Springer-Verlag New York Inc. Edition: Softcover reprint of hardcover 1st ed. 2009 Volume: 9 Dimensions: Width: 15.50cm , Height: 2.10cm , Length: 23.50cm Weight: 0.640kg ISBN: 9781441927583ISBN 10: 1441927581 Pages: 388 Publication Date: 19 November 2010 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Out of print, replaced by POD  We will order this item for you from a manufatured on demand supplier. Table of ContentsOn the Mathematical Works of S.L. Sobolev in the 1930s.- Sobolev in Siberia.- Boundary Harnack Principle and the Quasihyperbolic Boundary Condition.- Sobolev Spaces and their Relatives: Local Polynomial Approximation Approach.- Spectral Stability of Higher Order Uniformly Elliptic Operators.- Conductor Inequalities and Criteria for Sobolev-Lorentz Two-Weight Inequalities.- Besov Regularity for the Poisson Equation in Smooth and Polyhedral Cones.- Variational Approach to Complicated Similarity Solutions of Higher Order Nonlinear Evolution Partial Differential Equations.- L q,p -Cohomology of Riemannian Manifolds with Negative Curvature.- Volume Growth and Escape Rate of Brownian Motion on a Cartan—Hadamard Manifold.- Sobolev Estimates for the Green Potential Associated with the Robin—Laplacian in Lipschitz Domains Satisfying a Uniform Exterior Ball Condition.- Properties of Spectra of Boundary Value Problems in Cylindrical and Quasicylindrical Domains.- Estimates for Completely Integrable Systems of Differential Operators and Applications.- Counting Schrödinger Boundstates: Semiclassics and Beyond.- Function Spaces on Cellular Domains.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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