Global Analysis – Studies and Applications V

Yu. E. Gliklikh (auth.), Yuri G. Borisovich, Yuri E. Gliklikh, A. M. Vershik (eds.)9783540555834, 3540555838

This volume (a sequel to LNM 1108, 1214, 1334 and 1453) continues the presentation to English speaking readers of the Voronezh University press series on Global Analysis and Its Applications. The papers are selected fromtwo Russian issues entitled “Algebraic questions of Analysis and Topology” and “Nonlinear Operators in Global Analysis”. CONTENTS: YuE. Gliklikh: Stochastic analysis, groups of diffeomorphisms and Lagrangian description of viscous incompressible fluid.- A.Ya. Helemskii: From topological homology: algebras with different properties of homological triviality.- V.V. Lychagin, L.V. Zil’bergleit: Duality in stable Spencer cohomologies.- O.R. Musin: On some problems of computational geometry and topology.- V.E. Nazaikinskii, B.Yu. Sternin, V.E.Shatalov: Introduction to Maslov’s operational method (non-commutative analysis and differential equations).- Yu.B. Rudyak: The problem of realization of homology classes from Poincare up to the present.- V.G. Zvyagin, N.M. Ratiner: Oriented degree of Fredholm maps of non-negativeindex and its applications to global bifurcation of solutions.- A.A. Bolibruch: Fuchsian systems with reducible monodromy and the Riemann-Hilbert problem.- I.V. Bronstein, A.Ya. Kopanskii: Finitely smooth normal forms of vector fields in the vicinity of a rest point.- B.D. Gel’man: Generalized degree of multi-valued mappings.- G.N. Khimshiashvili: On Fredholmian aspects of linear transmission problems.- A.S. Mishchenko: Stationary solutions of nonlinear stochastic equations.- B.Yu. Sternin, V.E. Shatalov: Continuation of solutions to elliptic equations and localisation of singularities.- V.G. Zvyagin, V.T. Dmitrienko: Properness of nonlinear elliptic differential operators in H|lder spaces.

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Table of contents :
Stochastic analysis, groups of diffemorphisms and lagrangian description of viscous incompressible fluid….Pages 1-18
From topological homology: algebras with different properties of homological triviality….Pages 19-40
Duality in stable spencer cohomologies….Pages 41-55
On some problems of computational geometry and topology….Pages 57-80
Introduction to Maslov’s operational method (non-commutative analysis and differential equations)….Pages 81-91
The problem of realization of homology classes from Poincare up to the present….Pages 93-110
Oriented degree of Fredholm maps of non-negative index and its application to global bifurcation of solutions….Pages 111-137
Fuchsian systems with reducible monodromy and the Riemann-Hilbert problem….Pages 139-155
Finitely smooth normal forms of vector fields in the vicinity of a rest point….Pages 157-172
Generalized degree of multi-valued mappings….Pages 173-192
On fredholmian aspects of linear transmission problems….Pages 193-216
Stationary solutions of nonlinear stochastic equations….Pages 217-236
Continuation of solutions to elliptic equations and localization of singularities….Pages 237-259
Properness of nonlinear elliptic differential operators in Hölder spaces….Pages 261-284