Global Analysis – Studies and Applications IV

A. V. Babin, M. I. Vishik (auth.), Yurii G. Borisovich, Yurii E. Gliklikh, A. M. Vershik (eds.)3540534075, 9783540534075

This volume, a sequel to volumes 1108, 1214 and 1334, is a selection of survey or expository articles on recent work in global analysis. These articles centre on methods of global analysis in nonlinear equations and topological and geometrical methods of analysis. An account by V.M.Tikhomirov on the life and work of A.N.Kolmogorov is included as a tribute to his influence on the development of mathematics.

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Table of contents :
Semigroups dependent on a parameter, their attractors and asymptotic behaviour….Pages 1-19
A modern approach to the theory of topological characteristics of non-linear operators. II….Pages 21-49
Exact round morse functions, inequalities of morse type and integrals of Hamiltonian systems….Pages 51-67
Estimates for ε — Balls of nonholonomic metrics….Pages 69-85
The bifurcation of stationary rotations of a multidimensional asymmetric rigid body from the sleeping top regime….Pages 87-100
Nonlocal integral manifolds and decoupling of nonlinear parabolic systems….Pages 101-108
On Leary’s residue theory….Pages 109-119
Spencer cohomology of differential equations….Pages 121-136
The properness of elliptic and parabolic differential operators….Pages 137-159
A.N.Kolmogorov and the progress of mathematics….Pages 161-169
On the completeness of left-invariant pseudo-Riemannian metrics on lie groups….Pages 171-185
Second-order parabolic equations in principal fibre bundles and associated vector bundles….Pages 187-200
Lyapunov-schmidt method and types of singularities of critical points of key function in the problem of bifurcations of minimal surfaces….Pages 201-210
Relative topological characteristics of mappings….Pages 211-225
On some problems from the theory of fixed points of multivalued mappings….Pages 227-244
Relative calibrations and the problem of stability of minimal surfaces….Pages 245-262
On topological questions of real complexity theory and combinatorial optimization….Pages 263-270
Deformation and cohomologies of Poisson brackets….Pages 271-289
Holomorphic rigidity of polynomial polyhedrons and quasihomogeneity….Pages 291-307
On the structure of the set of solutions of a non-linear elliptic problem with fixed boundary conditions….Pages 309-320