Improved entropy decay estimates for the heat equation

A. Arnold; J. A. Carrillo; C. Klapproth

doi:10.1016/j.jmaa.2008.01.046

Improved entropy decay estimates for the heat equation

A. Arnold, J. A. Carrillo, C. Klapproth

Departament de Matemàtiques

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Resum

Improved entropy decay estimates for the heat equation are obtained by selecting well-parametrized Gaussians. Either by mass centering or by fixing the second moments or the covariance matrix of the solution, relative entropy toward these Gaussians is shown to decay with better constants than classical estimates. © 2008 Elsevier Inc. All rights reserved.

Idioma original	Anglès
Pàgines (de-a)	190-206
Revista	Journal of Mathematical Analysis and Applications
Volum	343
DOIs	https://doi.org/10.1016/j.jmaa.2008.01.046
Estat de la publicació	Publicada - 1 de jul. 2008

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10.1016/j.jmaa.2008.01.046

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https://www.scopus.com/pages/publications/41549112885

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@article{95357bf5e0f24317a1deb8f24cb8ebd7,

title = "Improved entropy decay estimates for the heat equation",

abstract = "Improved entropy decay estimates for the heat equation are obtained by selecting well-parametrized Gaussians. Either by mass centering or by fixing the second moments or the covariance matrix of the solution, relative entropy toward these Gaussians is shown to decay with better constants than classical estimates. {\textcopyright} 2008 Elsevier Inc. All rights reserved.",

keywords = "Entropy method, Heat equation, Large time behavior",

author = "A. Arnold and Carrillo, \{J. A.\} and C. Klapproth",

year = "2008",

month = jul,

day = "1",

doi = "10.1016/j.jmaa.2008.01.046",

language = "English",

volume = "343",

pages = "190--206",

journal = "Journal of Mathematical Analysis and Applications",

issn = "0022-247X",

publisher = "Academic Press Inc.",

}

TY - JOUR

T1 - Improved entropy decay estimates for the heat equation

AU - Arnold, A.

AU - Carrillo, J. A.

AU - Klapproth, C.

PY - 2008/7/1

Y1 - 2008/7/1

N2 - Improved entropy decay estimates for the heat equation are obtained by selecting well-parametrized Gaussians. Either by mass centering or by fixing the second moments or the covariance matrix of the solution, relative entropy toward these Gaussians is shown to decay with better constants than classical estimates. © 2008 Elsevier Inc. All rights reserved.

AB - Improved entropy decay estimates for the heat equation are obtained by selecting well-parametrized Gaussians. Either by mass centering or by fixing the second moments or the covariance matrix of the solution, relative entropy toward these Gaussians is shown to decay with better constants than classical estimates. © 2008 Elsevier Inc. All rights reserved.

KW - Entropy method

KW - Heat equation

KW - Large time behavior

UR - https://www.scopus.com/pages/publications/41549112885

U2 - 10.1016/j.jmaa.2008.01.046

DO - 10.1016/j.jmaa.2008.01.046

M3 - Article

SN - 0022-247X

VL - 343

SP - 190

EP - 206

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

ER -

Improved entropy decay estimates for the heat equation

Resum

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