Global Analysis - Studies and Applications V

1992
ISBN: 978-3-540-55583-4
Verlag: Springer Berlin Heidelberg

Buch, Englisch, Band 1520, 292 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 458 g

Reihe: Lecture Notes in Mathematics

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.

Zielgruppe

Research

Autoren/Hrsg.

Gliklikh, Yuri E.

Borisovich, Yuri G.

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Differentialgeometrie
• Mathematik | Informatik Mathematik Topologie Analytische Topologie

Inhaltsverzeichnis

Stochastic analysis, groups of diffemorphisms and lagrangian description of viscous incompressible fluid.- From topological homology: algebras with different properties of homological triviality.- Duality in stable spencer cohomologies.- On some problems of computational geometry and topology.- to Maslov's operational method (non-commutative analysis and differential equations).- The problem of realization of homology classes from Poincare up to the present.- Oriented degree of Fredholm maps of non-negative index and its application to global bifurcation of solutions.- Fuchsian systems with reducible monodromy and the Riemann-Hilbert problem.- Finitely smooth normal forms of vector fields in the vicinity of a rest point.- Generalized degree of multi-valued mappings.- On fredholmian aspects of linear transmission problems.- Stationary solutions of nonlinear stochastic equations.- Continuation of solutions to elliptic equations and localization of singularities.- Properness of nonlinear elliptic differential operators in Hölder spaces.