On the regularity of averages over spheres for kinetic transport equations in hyperbolic Sobolev spaces

Nikolaos Bournaveas; Susana Gutiérrez

doi:rmi/1190831219

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Home > Journals > Rev. Mat. Iberoamericana > Volume 23 > Issue 2 > Article

August, 2007 On the regularity of averages over spheres for kinetic transport equations in hyperbolic Sobolev spaces

Nikolaos Bournaveas, Susana Gutiérrez

Rev. Mat. Iberoamericana 23(2): 481-512 (August, 2007).

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Abstract

We study the smoothing effect of averaging over spheres for solutions of kinetic transport equations in hyperbolic Sobolev spaces.

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Nikolaos Bournaveas. Susana Gutiérrez. "On the regularity of averages over spheres for kinetic transport equations in hyperbolic Sobolev spaces." Rev. Mat. Iberoamericana 23 (2) 481 - 512, August, 2007.

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Published: August, 2007

First available in Project Euclid: 26 September 2007

MathSciNet: MR2371435

Subjects:

Primary: 35B45

Secondary: 35F10

Keywords: averaging lemmas , hyperbolic Sobolev spaces , transport equations

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Rev. Mat. Iberoamericana

Vol.23 • No. 2 • August, 2007

Real Sociedad Matemática Española

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Nikolaos Bournaveas, Susana Gutiérrez "On the regularity of averages over spheres for kinetic transport equations in hyperbolic Sobolev spaces," Revista Matemática Iberoamericana, Rev. Mat. Iberoamericana 23(2), 481-512, (August, 2007)

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