Adam Gregosiewicz
Lublin University of Technology
9 Papers
18 Citations
Adam Gregosiewicz is an academic researcher from Lublin University of Technology. The author has contributed to research in topics: Semigroup & Normed algebra. The author has an hindex of 2, co-authored 6 publications.
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Papers
On close-to-scalar one-parameter cosine families
TL;DR: In this paper, it was shown that if two cosine families with values in a normed algebra with unity, both indexed by t running over all real numbers, of which one consists of the multiples of the unity of the algebra by numbers of the form cos a t for some real a, differ in norm by less than 8 / ( 3 3 ) uniformly in t, then these families coincide.
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A general theorem on generation of moments-preserving cosine families by Laplace operators in C[0,1]
Adam Bobrowski,Adam Gregosiewicz +1 more
TL;DR: In this paper, Bobrowski et al. showed that given two non-negative integers, i and j, there exists a unique cosine family generated by a restriction of the Laplace operator in C[0,1], that preserves the moments of order i and J about 0, if and only if precisely one of these integers is zero.
Asymptotic behaviour of fast diffusions on graphs
TL;DR: In this article, the authors studied a diffusion process on a finite graph with semipermeable membranes on vertices and proved that for a large class of boundary conditions, describing communication between the edges of the graph, the process is governed by a strongly continuous semigroup of operators.
Functionals-preserving cosine families generated by Laplace operators in C[0,1]
TL;DR: In this paper, the authors studied a class of pairs of functionals such that for each member of this class there is a unique Laplace-operator generated cosine family that preserves both functionals in the pair.
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Asymptotic behaviour of fast diffusions on graphs
TL;DR: In this paper, Bobrowski et al. investigated fast diffusions on finite directed graphs and obtained asymptotic behavior of diffusion semigroup on a graph in O(L 1 ) and O( L 2 ) as the diffusions' speed increases and the probability of a particle passing through a vertex decreases.
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