Zobrazeno 1 - 10 of 77 pro vyhledávání: '"Cyril Imbert"'
2
The Schauder estimate for kinetic integral equations
Autor: Cyril Imbert, Luis Silvestre
Publikováno v: Analysis & PDE
Analysis & PDE, Mathematical Sciences Publishers, 2020, 14 (1), pp.171-204. ⟨10.2140/apde.2021.14.171⟩
We establish interior Schauder estimates for kinetic equations with integro-differential diffusion. We study equations of the form $f_t + v \cdot \nabla_x f = \mathcal L_v f + c$, where $\mathcal L_v$ is an integro-differential diffusion operator of
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0cbeb5cfd6ab5d192eda47b7bf7794a1
https://doi.org/10.2140/apde.2021.14.171
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3
Log-transform and the weak Harnack inequality for kinetic Fokker-Planck equations
Autor: Jessica Guerand, Cyril Imbert
Publikováno v: Journal of the Institute of Mathematics of Jussieu
Journal of the Institute of Mathematics of Jussieu, In press, ⟨10.1017/S1474748022000160⟩
This article deals with kinetic Fokker–Planck equations with essentially bounded coefficients. A weak Harnack inequality for nonnegative super-solutions is derived by considering their log-transform and adapting an argument due to S. N. Kružkov (1
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d7d635660fbe7cf74d82f6e306e96331
https://hal.archives-ouvertes.fr/hal-03133950/document
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4
Global regularity estimates for the Boltzmann equation without cut-off
Autor: Cyril Imbert, Luis Silvestre
Publikováno v: Journal of the American Mathematical Society
Journal of the American Mathematical Society, American Mathematical Society, In press, ⟨10.1090/jams/986⟩
We derive C ∞ C^\infty a priori estimates for solutions of the inhomogeneous Boltzmann equation without cut-off, conditional to pointwise bounds on their mass, energy and entropy densities. We also establish decay estimates for large velocities, fo
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https://hal.archives-ouvertes.fr/hal-02304382
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5
Regularity of solutions of a fractional porous medium equation
Autor: François Vigneron, Rana Tarhini, Cyril Imbert
Publikováno v: Interfaces and Free Boundaries
Interfaces and Free Boundaries, European Mathematical Society, 2020, 22 (4), pp.401-442. ⟨10.4171/IFB/445⟩
International audience; This article is concerned with a porous medium equation whose pressure law is both nonlinear and nonlocal, namely $\partial_t u = { \nabla \cdot} \left(u \nabla(-\Delta)^{\frac{\alpha}{2}-1}u^{m-1} \right)$ where $u:\mathbb{R}
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6403ce11d92b9dde811fdb21111fc069
https://hal.archives-ouvertes.fr/hal-02301369
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6
Schauder estimates for an integro-differential equation with applications to a nonlocal Burgers equation
Autor: Cyril Imbert, Roman Shvydkoy, Tianling Jin
Publikováno v: HAL
Annales de la Faculté des Sciences de Toulouse. Mathématiques.
Annales de la Faculté des Sciences de Toulouse. Mathématiques., Université Paul Sabatier _ Cellule Mathdoc 2018, 27 (4), pp.667-677
We obtain Schauder estimates for a general class of linear integro-differential equations. The estimates are applied to a scalar non-local Burgers equation and complete the global well-posedness results obtained in \cite{ISV}.
Comment: 10 pages
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dea4cb338cc6541b905389135b735839
https://doi.org/10.5802/afst.1581
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7
Comment parler de sciences aux jeunes
Autor: Sylvie Alayrangues, Aline Bonami, Samuel Guibal, Halima Hadi, Daniel Hennequin, Daniel Bideau, Cyril Imbert
Publikováno v: Reflets de la physique. :32-36
Le 1er fevrier 2016 s’est tenue a la prefecture de Paris et d’Ile-de-France (5, rue Leblanc, Paris, 15e ) la troisieme journee Sciences et medias. Ces journees sont organisees tous les deux ans par des societes savantes scientifiques. Se sont ass
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https://doi.org/10.1051/refdp/201752032
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8
Flux-limited solutions for quasi-convex Hamilton-Jacobi equations on networks
Autor: Régis Monneau, Cyril Imbert
Publikováno v: Annales Scientifiques de l'École Normale Supérieure
Annales Scientifiques de l'École Normale Supérieure, Société mathématique de France, 2017, 50 (2), pp.357 à 448
HAL
We study Hamilton-Jacobi equations on networks in the case where Hamiltonians are quasi-convex with respect to the gradient variable and can be discontinuous with respect to the space variable at vertices. First, we prove that imposing a general vert
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https://doi.org/10.24033/asens.2323
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9
Gaussian lower bounds for the Boltzmann equation without cut-off
Autor: Luis Silvestre, Clément Mouhot, Cyril Imbert
Publikováno v: SIAM Journal on Mathematical Analysis
SIAM Journal on Mathematical Analysis, 2020, 52 (3), pp.2930-2944. ⟨10.1137/19M1252375⟩
SIAM Journal on Mathematical Analysis, Society for Industrial and Applied Mathematics, 2020, 52 (3), pp.2930-2944. ⟨10.1137/19M1252375⟩
The study of positivity of solutions to the Boltzmann equation goes back to Carleman (1933), and the initial argument of Carleman was developed byPulvirenti-Wennberg (1997), the second author and Briant (2015). The appearance of a lower bound with Ga
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0d485192cfb44d77f5271b4d8144e345
http://arxiv.org/abs/1903.11278
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10
Hölder gradient estimates for a class of singular or degenerate parabolic equations
Autor: Cyril Imbert, Luis Silvestre, Tianling Jin
Publikováno v: Advances in Nonlinear Analysis
Advances in Nonlinear Analysis, De Gruyter, 2019, 8 (1), pp.845-867. ⟨10.1515/anona-2016-0197⟩
Advances in Nonlinear Analysis, Vol 8, Iss 1, Pp 845-867 (2017)
We prove interior H\"older estimate for the spatial gradients of the viscosity solutions to the singular or degenerate parabolic equation $$ u_t=|\nabla u|^{\kappa}\mbox{div} (|\nabla u|^{p-2}\nabla u), $$ where $p\in (1,\infty)$ and $\kappa\in (1-p,
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https://hal.archives-ouvertes.fr/hal-01360547/file/ijs-deg-v5.pdf
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