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dc.contributor.authorCañizo Rincón, José Alfredo 
dc.contributor.authorEinav, Amit
dc.contributor.authorLods, Bertrand
dc.date.accessioned2019-08-27T14:24:27Z
dc.date.available2019-08-27T14:24:27Z
dc.date.issued2018
dc.identifier.citationCañizo Rincón, J.A.; Einav, A.; Lods, B. On the rate of convergence to equilibrium for the linear Boltzmann equation with soft potentials. J. Math.Anal.Appl.462(2018)801–839. [https://doi.org/10.1016/j.jmaa.2017.12.052].es_ES
dc.identifier.issn0022-247X
dc.identifier.urihttp://hdl.handle.net/10481/56651
dc.description.abstractIn this work we present several quantitative results of convergence to equilibrium for the linear Boltzmann operator with soft potentials under Grad’s angular cut-off assumption. This is done by an adaptation of the famous entropy method and its variants, resulting in explicit algebraic, or even stretched exponential, rates of convergence to equilibrium under appropriate assumptions. The novelty in our approach is that it involves functional inequalities relating the entropy to its production rate, which have independent applications to equations with mixed linear and non-linear terms. We also briefly discuss some properties of the equation in the non-cut-off case and conjecture what we believe to be the right rate of convergence in that case.es_ES
dc.description.sponsorshipJAC was supported by project MTM2014-52056-P, funded by the Spanish government and the European Regional Development Fund. AE was partially supported by EPSRC grant EP/L002302/1 and partially supported by the Austrian Science Fund (FWF) grant M 2104-N32.es_ES
dc.language.isoenges_ES
dc.publisherElsevieres_ES
dc.rightsAtribución 3.0 España*
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/es/*
dc.subjectFunctional inequalitieses_ES
dc.subjectEntropy es_ES
dc.subjectBoltzmann equationes_ES
dc.subjectSoft potentialses_ES
dc.titleOn the rate of convergence to equilibrium for the linear Boltzmann equation with soft potentialses_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses_ES


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