Manifolds of smooth maps
Manifolds of smooth maps, II : the Lie group of diffeomorphisms of a non-compact smooth manifold
Manifolds of smooth maps III : the principal bundle of embeddings of a non-compact smooth manifold
Manifolds of smooth maps IV : theorem of De Rham
Maps Without Certain Singularities.
Matched pairs of topological Lie algebras corresponding to Lie bialgebra structures on and
Mathematical modelling of cable stayed bridges: existence, uniqueness, continuous dependence on data, homogenization of cable systems
A model of a cable stayed bridge is proposed. This model describes the behaviour of the center span, the part between pylons, hung on one row of cable stays. The existence, the uniqueness of a solution of a time independent problem and the continuous dependence on data are proved. The existence and the uniqueness of a solution of a linearized dynamic problem are proved. A homogenizing procedure making it possible to replace cables by a continuous system is proposed. A nonlinear dynamic problem connected...
Measurability of classes of Lipschitz manifolds with respect to Borel -algebra of Vietoris topology
Measure preserving pseudo-groups and a theorem of Sacksteder
This note is based on a theorem of Sacksteder which generalizes a classical result of Denjoy. Using this theorem and results on the existence of invariant measures, new results are obtained concerning minimal sets for groups of diffeomorphisms of the circle and for foliations of codimension one.
Measure solutions for semilinear evolution equations with polynomial growth and their optimal control
In this paper we introduce a new concept of generalized solutions generalizing the notion of relaxed solutions recently introduced by Fattorini. We present some results on the question of existence of generalized or measure valued solutions for semilinear evolution equations on Banach spaces with polynomial nonlinearities. The results are illustrated by two examples one of which arises in nonlinear quantum mechanics. The results are then applied to some control problems.
Measures and Markov processes on function spaces
Metaplectic quantization of the moduli spaces of flat and parabolic bundles.
Moduli of half conformally flat structures.
Moduli space, heights and isospectral sets of metrics
Moduli spaces of anti-self-dual connections on ALE gravitational instantons.
Moduli spaces over manifolds with involutions.
Morrey-Campanato spaces on manifolds
Multiple perturbed solutions near nondegenerate manifolds of solutions
The existence of multiple solutions for perturbed equations is shown near a manifold of solutions of an unperturbed equation via the Nielsen fixed point theory.