β Scribed by Victor Isakov
No coin nor oath required. For personal study only.
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, perforated domains and bodies with defects of different types, spectral asymptotics for Dirac energy,Β LamΓ© 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.
π SIMILAR VOLUMES
This volume is dedicated to the centenary of the outstanding mathematician of the 20th century, Sergey Sobolev, and, in a sense, to his celebrated work *On a theorem of functional analysis*, published in 1938, exactly 70 years ago, was where the original Sobolev inequality was proved. This double ev
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
The book systematically develops the nonlinear potential theory connected with the weighted Sobolev spaces, where the weight usually belongs to Muckenhoupt's class of Ap weights. These spaces occur as solutions spaces for degenerate elliptic partial differential equations. The Sobolev space theory c