The Lévy–Khintchine type operators with variable Lipschitz continuous coefficients generate linear or nonlinear Markov processes and semigroups [PDF]
Probability Theory and Related Fields, 2010 Ito's construction of Markovian solutions to stochastic equations driven by a Lévy noise is extended to nonlinear distribution dependent integrands aiming at the effective construction of linear and nonlinear Markov semigroups and the corresponding processes with a given pseudo-differential generator.
Kolokoltsov, V. N. (Vasiliĭ Nikitich)
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The discrete fragmentation equations : semigroups, compactness and asynchronous exponential growth [PDF]
, 2012 In this paper we present a class of fragmentation semigroups which are compact in a scale of spaces defined in terms of finite higher moments. We use this compactness result to analyse the long time behaviour of such semigroups and, in particular, to ...
Banasiak, Jacek, Lamb, Wilson
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Convolution semigroups of states. [PDF]
, 2011 Convolution semigroups of states on a quantum group form the natural noncommutative analogue of convolution semigroups of probability measures on a locally compact group.
Lindsay, Martin, Skalski, Adam G.
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A novel dual approach to nonlinear semigroups of Lipschitz operators [PDF]
Transactions of the American Mathematical Society, 2004 The authors investigate the characterization of Lipschitzian semigroups in a Banach space. A Lipschitzian semigroup is a one-parameter semigroup of Lipschitz operators that is strongly continuous in the parameter. It is shown that a Lipschitzian semigroup can be isometrically embedded into a certain \(C_0\)-semigroup.
Peng, Jigen, Xu, Zongben
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Results of semigroup of linear operators generating a nonlinear Schrödinger equation
Open Journal of Mathematical Analysis, 2022 In this paper, we present results of \(\omega\)-order preserving partial contraction mapping generating a nonlinear Schrödinger equation. We used the theory of semigroup to generate a nonlinear Schrödinger equation by considering a simple application of Lipschitz perturbation of linear evolution equations.
J. B. Omosowon +2 more
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A photon transport problem with a time-dependent point source [PDF]
, 2009 We consider a time-dependent problem of photon transport in an interstellar cloud with a point photon source modeled by a Dirac δ functional. The existence of a unique distributional solution to this problem is established by using the theory of ...
McBride, A.C. +2 more
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Nonlinear Markov semigroups and interacting Lévy type processes [PDF]
, 2007 Semigroups of positivity preserving linear operators on measures of a measurable space X describe the evolutions of probability distributions of Markov processes on X.
Kolokoltsov, V. N. (Vasiliĭ Nikitich)
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Fragmentation arising from a distributional initial condition [PDF]
, 2010 A standard model for pure fragmentation is subjected to an initial condition of Dirac-delta type. Results for a corresponding abstract Cauchy problem are derived via the theory of equicontinuous semigroups of operators on locally convex spaces.
McBride, A.C. +2 more
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Feller semigroups, Lp-sub-Markovian semigroups, and applications to pseudo-differential operators with negative definite symbols [PDF]
, 2001 The question of extending L-p-sub-Markovian semigroups to the spaces L-q, q > P, and the interpolation of LP-sub-Markovian semigroups with Feller semigroups is investigated.
Farkas, Walter +4 more
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Automatic presentations for semigroups [PDF]
, 2009 Special Issue: 2nd International Conference on Language and Automata Theory and Applications (LATA 2008)This paper applies the concept of FA-presentable structures to semigroups.
Oliver, Graham +4 more
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