Lemmes de moyenne et transformée aux rayons X

Pierre Emmanuel Jabin; Luis Vega

doi:10.1016/j.crma.2003.09.004

Lemmes de moyenne et transformée aux rayons X

Translated title of the contribution: Averaging lemmas and the X-ray transform

Pierre Emmanuel Jabin
, Luis Vega

Mathematics

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

We introduce a new method to prove averaging lemmas, i.e., prove a regularizing effect on the average in velocity of a solution to a kinetic equation. The method does not require the use of Fourier transform and the whole procedure is performed in the 'real space'; it leads to estimating an operator very similar to the so-called X-ray transform. We are then able to improve the known results when the integrability in space and velocity are different.

Translated title of the contribution	Averaging lemmas and the X-ray transform
Original language	French
Pages (from-to)	505-510
Number of pages	6
Journal	Comptes Rendus Mathematique
Volume	337
Issue number	8
DOIs	https://doi.org/10.1016/j.crma.2003.09.004
State	Published - Oct 15 2003

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1016/j.crma.2003.09.004

Cite this

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abstract = "We introduce a new method to prove averaging lemmas, i.e., prove a regularizing effect on the average in velocity of a solution to a kinetic equation. The method does not require the use of Fourier transform and the whole procedure is performed in the 'real space'; it leads to estimating an operator very similar to the so-called X-ray transform. We are then able to improve the known results when the integrability in space and velocity are different.",

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AU - Vega, Luis

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AB - We introduce a new method to prove averaging lemmas, i.e., prove a regularizing effect on the average in velocity of a solution to a kinetic equation. The method does not require the use of Fourier transform and the whole procedure is performed in the 'real space'; it leads to estimating an operator very similar to the so-called X-ray transform. We are then able to improve the known results when the integrability in space and velocity are different.

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M3 - Article

AN - SCOPUS:0242569573

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JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

IS - 8

ER -

Lemmes de moyenne et transformée aux rayons X

Abstract

All Science Journal Classification (ASJC) codes

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