The Lévy–Khintchine type operators with variable Lipschitz continuous coefficients generate linear or nonlinear Markov processes and semigroups [PDF]
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]
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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Fragmentation arising from a distributional initial condition [PDF]
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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Convolution semigroups of states. [PDF]
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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Beyond Regular Semigroups [PDF]
The topic of this thesis is the class of weakly U-abundant semigroups. This class is very wide, containing inverse, orthodox, regular, ample, adequate, quasi-adequate, concordant, abundant, restriction, Ehresmann and weakly abundant semigroups.
Wang, Yanhui
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DIFFUSION OF A CONTAMINANT WITH INHOMOGENEOUS BOUNDARY CONDITIONS
We prove the existence of solution for a mathematic model of diffusion of a contaminant using the Nonlinear Semigroups Theory, by means of afin operators. We also study a realistic model by means of satura tíon effects.
Yolanda Silvia Santiago Ayala +2 more
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A novel dual approach to nonlinear semigroups of Lipschitz operators [PDF]
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
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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Locally Lipschitz continuous perturbations of linear dissipative operators and nonlinear semigroups [PDF]
Locally Lipschitz continuous perturbations of linear m m -dissipative operators in Banach spaces are considered from the ...
Oharu, Shinnosuke, Takahashi, Tadayasu
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Degenerate parabolic equations appearing in atmospheric dispersion of pollutants
Linear and nonlinear degenerate abstract parabolic equations with variable coefficients are studied. Here the equation and boundary conditions are degenerated on all boundary and contain some parameters.
Veli Shakhmurov, Aida Sahmurova
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