Some invariants of Lie algebroids of principal fibre bundles
Some mapping and fixed point theorems
Some modifications of Sobolev spaces and non-linear boundary value problems
Some natural operations between connections on fibred manifolds
Given a fibered manifold , a 2-connection on means a section . The authors determine all first order natural operators transforming a 2-connection on and a classical linear connection on into a connection on . (The proof implies that there is no first order natural operator transforming 2-connections on into connections on .) Using this result, the authors deduce several properties of characterizable connections on .
Some new concepts of dimension and their generalization
Some new methods for numerical solution of initial value problems
Some new problems in the theory of partial differential equations
Some open questions in infinite-dimensional topology
Some practical aspects of parallel adaptive BDDC method
We describe a parallel implementation of the Balancing Domain Decomposition by Constraints (BDDC) method enhanced by an adaptive construction of coarse problem. The method is designed for numerically difficult problems, where standard choice of continuity of arithmetic averages across faces and edges of subdomains fails to maintain the low condition number of the preconditioned system. Problems of elasticity analysis of bodies consisting of different materials with rapidly changing stiffness may...
Some problems concerning
Some problems concerning the functional differential equations
Some problems in modelling of real systems by formalized ones
Some problems in neutron transport theory
Some problems in number theory, combinatorics and combinatorial geometry.
Some problems of convergence in countably modulared spaces
Some problems of the theory of Sobolev spaces of infinite order and of nonlinear equations
Some problems on normality of products of spaces
Some product theorems
Some properties of topological groups
Some questions related to hyperspaces