Volterra operators in the edge-calculus
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DOI: 10.1007/s13324-018-0238-4
Abstract: We study the Volterra property of a class of anisotropic pseudo-differential operators on $$\mathbb {R}\times B$$R×B for a manifold B with edge Y and time-variable t. This exposition belongs to a program for studying parabolicity… read more here.
Keywords: edge calculus; anisotropic; operators edge; volterra operators ... See more keywords
On Nonergodic Uniform Lotka–Volterra Operators
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DOI: 10.1134/s0001434619010280
Abstract: In this paper, we introduce uniform Lotka–Volterra operators and construct Lyapunov functions for them. We establish that the ergodic averages associated with operators of such kind diverge. read more here.
Keywords: uniform lotka; lotka volterra; volterra operators; nonergodic uniform ... See more keywords