Sobolev spaces in mathematics III: applications in mathematical physics

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 study of mathematical physics in the second half of the 20th century. This volume, dedicated to the centenary of S.L. Sobolev, presents the latest results on some important problems of mathematical physics, describing, in particular, phenomena of superconductivity with random fluctuations, wave propagation, perforateddomains and bodies with defects of different types, spectral asymptotics for Dirac energy, Lamé system with residual stress, optimal control problems for partial differential equations and inverse problems admitting numerous interpretations. Methods of modern functional analysis are essentially used in the investigation of these problems The authors and editors are world-known specialists, working in different countries Publication on the centenary of Sobolev’s birth with two short biographical articles and unique archive photos of S. Sobolev which have not been published earlier in the English-language literature INDICE: Geometrization of Rings as a Method for Solving Inverse Problems, M. Belishev.- The Ginzburg–Landau 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 onNonlinear 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.

• ISBN: 978-0-387-85651-3
• Editorial: Springer
• Encuadernacion: Cartoné
• Páginas: 400
• Fecha Publicación: 01/11/2008
• Nº Volúmenes: 1
• Idioma: Inglés