Click Here to Download: https://ouo.io/A7zeKP Sobolev Spaces in Mathematics II Applications in Analysis and Partial Differential Equations Publisher: Springer Print ISBN: 9780387856490, 0387856498 eText ISBN: 9780387856506, 0387856501 Copyright year: 2009 Format: PDF Available from $ 209.00 USD SKU 9780387856506 Sobolev 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.
