On a gradient maximum principle for some quasilinear parabolic equations on convex domains

Seonghak Kim

doi:10.1090/proc/13291

On a gradient maximum principle for some quasilinear parabolic equations on convex domains

Seonghak Kim

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

3 Scopus citations

Abstract

We establish a spatial gradient maximum principle for classical solutions to the initial and Neumann boundary value problem of some quasilinear parabolic equations on smooth convex domains.

Original language	English
Pages (from-to)	1203-1208
Number of pages	6
Journal	Proceedings of the American Mathematical Society
Volume	145
Issue number	3
DOIs	https://doi.org/10.1090/proc/13291
State	Published - 2017

Keywords

Bootstrap of regularity
Convex domain
Gradient maximum principle
Hopf’s lemma
Quasilinear parabolic equation

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title = "On a gradient maximum principle for some quasilinear parabolic equations on convex domains",

abstract = "We establish a spatial gradient maximum principle for classical solutions to the initial and Neumann boundary value problem of some quasilinear parabolic equations on smooth convex domains.",

keywords = "Bootstrap of regularity, Convex domain, Gradient maximum principle, Hopf{\textquoteright}s lemma, Quasilinear parabolic equation",

author = "Seonghak Kim",

note = "Publisher Copyright: {\textcopyright} 2016 American Mathematical Society.",

year = "2017",

doi = "10.1090/proc/13291",

language = "English",

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journal = "Proceedings of the American Mathematical Society",

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AU - Kim, Seonghak

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AB - We establish a spatial gradient maximum principle for classical solutions to the initial and Neumann boundary value problem of some quasilinear parabolic equations on smooth convex domains.

KW - Bootstrap of regularity

KW - Convex domain

KW - Gradient maximum principle

KW - Hopf’s lemma

KW - Quasilinear parabolic equation

UR - https://www.scopus.com/pages/publications/85007310677

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DO - 10.1090/proc/13291

M3 - Article

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EP - 1208

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 3

ER -

On a gradient maximum principle for some quasilinear parabolic equations on convex domains

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Keywords

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