On Lipschitz solutions for some forward–backward parabolic equations. II: the case against Fourier

Seonghak Kim; Baisheng Yan

doi:10.1007/s00526-017-1155-3

On Lipschitz solutions for some forward–backward parabolic equations. II: the case against Fourier

Seonghak Kim, Baisheng Yan

Michigan State University

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

6 Scopus citations

Abstract

As a sequel to the paper Kim and Yan (Ann Inst H Poincaré Anal Non Linéaire. doi:10.1016/j.anihpc.2017.03.001, 2017), we study the existence and properties of Lipschitz solutions to the initial-boundary value problem of some forward–backward diffusion equations with diffusion fluxes violating Fourier’s inequality.

Original language	English
Article number	67
Journal	Calculus of Variations and Partial Differential Equations
Volume	56
Issue number	3
DOIs	https://doi.org/10.1007/s00526-017-1155-3
State	Published - 1 Jun 2017

Keywords

35D30
35K20
35M13
49K20

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10.1007/s00526-017-1155-3

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title = "On Lipschitz solutions for some forward–backward parabolic equations. II: the case against Fourier",

abstract = "As a sequel to the paper Kim and Yan (Ann Inst H Poincar{\'e} Anal Non Lin{\'e}aire. doi:10.1016/j.anihpc.2017.03.001, 2017), we study the existence and properties of Lipschitz solutions to the initial-boundary value problem of some forward–backward diffusion equations with diffusion fluxes violating Fourier{\textquoteright}s inequality.",

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N2 - As a sequel to the paper Kim and Yan (Ann Inst H Poincaré Anal Non Linéaire. doi:10.1016/j.anihpc.2017.03.001, 2017), we study the existence and properties of Lipschitz solutions to the initial-boundary value problem of some forward–backward diffusion equations with diffusion fluxes violating Fourier’s inequality.

AB - As a sequel to the paper Kim and Yan (Ann Inst H Poincaré Anal Non Linéaire. doi:10.1016/j.anihpc.2017.03.001, 2017), we study the existence and properties of Lipschitz solutions to the initial-boundary value problem of some forward–backward diffusion equations with diffusion fluxes violating Fourier’s inequality.

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KW - 35M13

KW - 49K20

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JO - Calculus of Variations and Partial Differential Equations

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ER -

On Lipschitz solutions for some forward–backward parabolic equations. II: the case against Fourier

Abstract

Keywords

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