Sobolev Spaces in Mathematics II Applications in Analysis and Partial Differential Equations /

• Corporate Author: SpringerLink (Online service)
• Other Authors: Maz'ya, Vladimir. (Editor)
• Format: Electronic
• Language: English
• Published: New York, NY : Springer New York, 2009.
• Series: International Mathematical Series, 9
• Subjects: Mathematics.; Global analysis (Mathematics).; Functional analysis.; Differential equations, partial.; Numerical analysis.; Mathematical optimization.; Analysis.; Partial Differential Equations.; Functional Analysis.; Optimization.; Numerical Analysis.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-0-387-85650-6

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 in the focus of this volume: boundary value problems in domains with singularit...

Table of Contents:

• On the Mathematical Works of S.L. Sobolev in the 1930s, V. Babich
• Sobolev in Siberia, Y. Reshetnyak
• Boundary Harnack Principle and the Quasihyperbolic Boundary Condition, H. Aikawa
• Sobolev Spaces and their Relatives: local Polynomial Approximation Approach, Y. Brudnyi
• Spectral Stability of Higher Order Uniformly Elliptic Operators, V. Burenkov, P.D. Lamberti
• Conductor Inequalities and Criteria for Sobolev - Lorentz Two - Weight Inequalities, S. Costea, V. Maz'ya
• Besov Regularity for the Poisson Equation in Smooth and Polyhedral Cones, S. Dahlke, W. Sickel
• Variational Approach to Complicated Similarity Solutions of Higher Order Nonlinear Evolution Partial Differential Equations, V. Galaktionov et al
• Lq,p-Cohomology of Riemannian Manifolds with Negative Curvature, V. Gol'dshtein, M. Troyanov
• Volume Growth and Escape Rate of Brownian Motion on a Cartan<U+0013>Hadamard Manifold, A. Grigor'yan, E. Hsu
• Sobolev Estimates for the Green Potential Associated with the Robin<U+0013>Laplacian in Lipschitz Domains Satisfying a Uniform Exterior Ball Condition, T. Jakab et al
• Properties of Spectra of Boundary Value Problems in Cylindrical and Quasicylindrical Domains, S. Nazarov
• Estimates for Completeley Integrable Systems of Differential Operators and Applications, Y. Reshetnyak
• Counting Schrd̲inger Boundstates: Semiclassics and Beyond, G. Rozenblum, M. Solomyak
• Function Spaces on Cellular Domains, H. Triebel.