EXPONENTIAL DECAY FOR QUASILINEAR PARABOLIC EQUATIONS IN ANY DIMENSION

Jian Wen Sun; Seonghak Kim

doi:10.3934/dcdsb.2021280

EXPONENTIAL DECAY FOR QUASILINEAR PARABOLIC EQUATIONS IN ANY DIMENSION

Jian Wen Sun
, Seonghak Kim

Lanzhou University

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

Abstract

We estimate decay rates of solutions to the initial-boundary value problem for a class of quasilinear parabolic equations in any dimension. Such decay rates depend only on the constitutive relations, spatial domain, and range of the initial function.

Original language	English
Pages (from-to)	5411-5418
Number of pages	8
Journal	Discrete and Continuous Dynamical Systems - Series B
Volume	27
Issue number	10
DOIs	https://doi.org/10.3934/dcdsb.2021280
State	Published - Oct 2022

Keywords

Quasilinear parabolic equations
comparison principle
exponential decay
maximum principle
principal eigenvalue
subsolutions
super

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10.3934/dcdsb.2021280

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title = "EXPONENTIAL DECAY FOR QUASILINEAR PARABOLIC EQUATIONS IN ANY DIMENSION",

abstract = "We estimate decay rates of solutions to the initial-boundary value problem for a class of quasilinear parabolic equations in any dimension. Such decay rates depend only on the constitutive relations, spatial domain, and range of the initial function.",

keywords = "Quasilinear parabolic equations, comparison principle, exponential decay, maximum principle, principal eigenvalue, subsolutions, super",

author = "Sun, \{Jian Wen\} and Seonghak Kim",

year = "2022",

month = oct,

doi = "10.3934/dcdsb.2021280",

language = "English",

volume = "27",

pages = "5411--5418",

journal = "Discrete and Continuous Dynamical Systems - Series B",

issn = "1531-3492",

publisher = "American Institute of Mathematical Sciences",

number = "10",

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T1 - EXPONENTIAL DECAY FOR QUASILINEAR PARABOLIC EQUATIONS IN ANY DIMENSION

AU - Sun, Jian Wen

AU - Kim, Seonghak

PY - 2022/10

Y1 - 2022/10

N2 - We estimate decay rates of solutions to the initial-boundary value problem for a class of quasilinear parabolic equations in any dimension. Such decay rates depend only on the constitutive relations, spatial domain, and range of the initial function.

AB - We estimate decay rates of solutions to the initial-boundary value problem for a class of quasilinear parabolic equations in any dimension. Such decay rates depend only on the constitutive relations, spatial domain, and range of the initial function.

KW - Quasilinear parabolic equations

KW - comparison principle

KW - exponential decay

KW - maximum principle

KW - principal eigenvalue

KW - subsolutions

KW - super

UR - https://www.scopus.com/pages/publications/85137380718

U2 - 10.3934/dcdsb.2021280

DO - 10.3934/dcdsb.2021280

M3 - Article

AN - SCOPUS:85137380718

SN - 1531-3492

VL - 27

SP - 5411

EP - 5418

JO - Discrete and Continuous Dynamical Systems - Series B

JF - Discrete and Continuous Dynamical Systems - Series B

IS - 10

ER -

EXPONENTIAL DECAY FOR QUASILINEAR PARABOLIC EQUATIONS IN ANY DIMENSION

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Keywords

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