De Giorgi techniques applied to the Hölder regularity of solutions to Hamilton–Jacobi equations

Chi-Hin Chan; Alexis Vasseur

doi:10.1007/978-3-319-66839-0_6

De Giorgi techniques applied to the Hölder regularity of solutions to Hamilton–Jacobi equations

Chi-Hin Chan, Alexis Vasseur^*

^*Corresponding author for this work

Department of Applied Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

3 Scopus citations

Abstract

This article is dedicated to the proof of C^α regularization effects of Hamilton–Jacobi equations. The proof is based on the De Giorgi method. The regularization is independent on the regularity of the Hamilton.

Original language	English
Title of host publication	From Particle Systems to Partial Differential Equations, PSPDE IV
Editors	Patrícia Goncalves, Ana Jacinta Soares
Publisher	Springer New York LLC
Pages	117-137
Number of pages	21
ISBN (Print)	9783319668383
DOIs	https://doi.org/10.1007/978-3-319-66839-0_6
State	Published - 2017
Event	4th International conference on Particle Systems and Partial Differential Equations, PSPDE 2015 - Braga, Portugal Duration: 16 Dec 2015 → 18 Dec 2015

Publication series

Name	Springer Proceedings in Mathematics and Statistics
Volume	209
ISSN (Print)	2194-1009
ISSN (Electronic)	2194-1017

Conference

Conference	4th International conference on Particle Systems and Partial Differential Equations, PSPDE 2015
Country/Territory	Portugal
City	Braga
Period	16/12/15 → 18/12/15

Keywords

De Giorgi method
Hamilton–Jacobi equation
Hölder regularity

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10.1007/978-3-319-66839-0_6

Cite this

Chan, C.-H., & Vasseur, A. (2017). De Giorgi techniques applied to the Hölder regularity of solutions to Hamilton–Jacobi equations. In P. Goncalves, & A. J. Soares (Eds.), From Particle Systems to Partial Differential Equations, PSPDE IV (pp. 117-137). (Springer Proceedings in Mathematics and Statistics; Vol. 209). Springer New York LLC. https://doi.org/10.1007/978-3-319-66839-0_6

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title = "De Giorgi techniques applied to the H{\"o}lder regularity of solutions to Hamilton–Jacobi equations",

abstract = "This article is dedicated to the proof of Cα regularization effects of Hamilton–Jacobi equations. The proof is based on the De Giorgi method. The regularization is independent on the regularity of the Hamilton.",

keywords = "De Giorgi method, Hamilton–Jacobi equation, H{\"o}lder regularity",

author = "Chi-Hin Chan and Alexis Vasseur",

note = "Publisher Copyright: {\textcopyright} Springer International Publishing AG 2017.; 4th International conference on Particle Systems and Partial Differential Equations, PSPDE 2015 ; Conference date: 16-12-2015 Through 18-12-2015",

year = "2017",

doi = "10.1007/978-3-319-66839-0_6",

language = "English",

isbn = "9783319668383",

series = "Springer Proceedings in Mathematics and Statistics",

publisher = "Springer New York LLC",

pages = "117--137",

editor = "Patr{\'i}cia Goncalves and Soares, {Ana Jacinta}",

booktitle = "From Particle Systems to Partial Differential Equations, PSPDE IV",

}

Chan, C-H & Vasseur, A 2017, De Giorgi techniques applied to the Hölder regularity of solutions to Hamilton–Jacobi equations. in P Goncalves & AJ Soares (eds), From Particle Systems to Partial Differential Equations, PSPDE IV. Springer Proceedings in Mathematics and Statistics, vol. 209, Springer New York LLC, pp. 117-137, 4th International conference on Particle Systems and Partial Differential Equations, PSPDE 2015, Braga, Portugal, 16/12/15. https://doi.org/10.1007/978-3-319-66839-0_6

De Giorgi techniques applied to the Hölder regularity of solutions to Hamilton–Jacobi equations. / Chan, Chi-Hin; Vasseur, Alexis.
From Particle Systems to Partial Differential Equations, PSPDE IV. ed. / Patrícia Goncalves; Ana Jacinta Soares. Springer New York LLC, 2017. p. 117-137 (Springer Proceedings in Mathematics and Statistics; Vol. 209).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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T1 - De Giorgi techniques applied to the Hölder regularity of solutions to Hamilton–Jacobi equations

AU - Chan, Chi-Hin

AU - Vasseur, Alexis

N1 - Publisher Copyright: © Springer International Publishing AG 2017.

PY - 2017

Y1 - 2017

N2 - This article is dedicated to the proof of Cα regularization effects of Hamilton–Jacobi equations. The proof is based on the De Giorgi method. The regularization is independent on the regularity of the Hamilton.

AB - This article is dedicated to the proof of Cα regularization effects of Hamilton–Jacobi equations. The proof is based on the De Giorgi method. The regularization is independent on the regularity of the Hamilton.

KW - De Giorgi method

KW - Hamilton–Jacobi equation

KW - Hölder regularity

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U2 - 10.1007/978-3-319-66839-0_6

DO - 10.1007/978-3-319-66839-0_6

M3 - Conference contribution

AN - SCOPUS:85035120735

SN - 9783319668383

T3 - Springer Proceedings in Mathematics and Statistics

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BT - From Particle Systems to Partial Differential Equations, PSPDE IV

A2 - Goncalves, Patrícia

A2 - Soares, Ana Jacinta

PB - Springer New York LLC

T2 - 4th International conference on Particle Systems and Partial Differential Equations, PSPDE 2015

Y2 - 16 December 2015 through 18 December 2015

ER -

De Giorgi techniques applied to the Hölder regularity of solutions to Hamilton–Jacobi equations

Abstract

Publication series

Conference

Keywords

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