Sobolev Spaces in Mathematics III Applications in Mathematical Physics /

• Corporate Author: SpringerLink (Online service)
• Other Authors: Isakov, Victor. (Editor)
• Format: Electronic
• Language: English
• Published: New York, NY : Springer New York, 2009.
• Series: International Mathematical Series, 10
• 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/10.1007/978-0-387-85652-0

The mathematical works of S.L.Sobolev were strongly motivated by particular problems coming from applications. In his celebrated book Applications of Functional Analysis in Mathematical Physics, 1950 and other works, S.Sobolev introduced general methods that turned out to be very influential in the...

Table of Contents:

• Geometrization of Rings as a Method for Solving Inverse Problems, M. Belishev
• The GinzburgLandau Equations for Superconductivity with Random Fluctuations, A. Fursikov et al
• Carleman Estimates with Second Large Parameter for Second Order Operators, V. Isakov, N. Kim
• Sharp Spectral Asymptotics for Dirac Energy, V. Ivrii
• Linear Hyperbolic and Petrowski Type PDEs with Continuous Boundary Control - Boundary Observation Open Loop Map: Implication on Nonlinear Boundary Stabilization with Optimal Decay Rates, I. Lasiecka, R. Triggiani
• Uniform Asymptotics of Green's Kernels for Mixed and Neumann Problems in Domains with Small Holes and Inclusions, V. Maz'ya, A. Movchan
• Finsler Structures and Wave Propagation, M. Taylor.