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Published in 2021 at "Communications in Mathematical Physics"
DOI: 10.1007/s00220-021-04228-2
Abstract: We study the linearized Vlasov-Poisson system around suitably stable homogeneous equilibria on $\mathbb{R}^d\times \mathbb{R}^d$ (for any $d \geq 1$) and establish dispersive $L^\infty$ decay estimates in the physical space.
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Keywords:
poisson system;
linearized vlasov;
homogeneous equilibria;
stable homogeneous ... See more keywords
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Published in 2017 at "IEEE Transactions on Automatic Control"
DOI: 10.1109/tac.2017.2699284
Abstract: Sufficient conditions for the existence and convergence to zero of numeric approximations to solutions of asymptotically stable homogeneous systems are obtained for the explicit and implicit Euler integration schemes. It is shown that the explicit…
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Keywords:
realization discretization;
asymptotically stable;
euler;
homogeneous systems ... See more keywords