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Recent progress in special Colombeau algebras: geometry, topology, and algebra

M. Kunzinger (2010)

Banach Center Publications

Over the past few years there has been considerable progress in the structural understanding of special Colombeau algebras. We present some of the main trends in this development: non-smooth differential geometry, locally convex theory of modules over the ring of generalized numbers, and algebraic aspects of Colombeau theory. Some open problems are given and directions of further research are outlined.

Remarks on the spaces of differentiable multifunctions

Andrzej Kasperski (2011)

Banach Center Publications

In this paper we consider some spaces of differentiable multifunctions, in particular the generalized Orlicz-Sobolev spaces of multifunctions, we study completeness of them, and give some theorems.

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