Rate of convergence for one-dimensional quasilinear parabolic problem and its applications

Seonghak Kim

doi:10.1016/j.jde.2017.08.069

Rate of convergence for one-dimensional quasilinear parabolic problem and its applications

Seonghak Kim

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

4 Scopus citations

Abstract

Based on a comparison principle, we derive an exponential rate of convergence for solutions to the initial–boundary value problem for a class of quasilinear parabolic equations in one space dimension. We then apply the result to some models in population dynamics and image processing.

Original language	English
Pages (from-to)	82-97
Number of pages	16
Journal	Journal of Differential Equations
Volume	264
Issue number	1
DOIs	https://doi.org/10.1016/j.jde.2017.08.069
State	Published - 5 Jan 2018

Keywords

Aggregation in population dynamics
Comparison principle
Exponential rate of convergence
Maximum principle
Perona–Malik model
Quasilinear parabolic equations

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10.1016/j.jde.2017.08.069

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title = "Rate of convergence for one-dimensional quasilinear parabolic problem and its applications",

abstract = "Based on a comparison principle, we derive an exponential rate of convergence for solutions to the initial–boundary value problem for a class of quasilinear parabolic equations in one space dimension. We then apply the result to some models in population dynamics and image processing.",

keywords = "Aggregation in population dynamics, Comparison principle, Exponential rate of convergence, Maximum principle, Perona–Malik model, Quasilinear parabolic equations",

author = "Seonghak Kim",

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year = "2018",

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AB - Based on a comparison principle, we derive an exponential rate of convergence for solutions to the initial–boundary value problem for a class of quasilinear parabolic equations in one space dimension. We then apply the result to some models in population dynamics and image processing.

KW - Aggregation in population dynamics

KW - Comparison principle

KW - Exponential rate of convergence

KW - Maximum principle

KW - Perona–Malik model

KW - Quasilinear parabolic equations

UR - https://www.scopus.com/pages/publications/85029182191

U2 - 10.1016/j.jde.2017.08.069

DO - 10.1016/j.jde.2017.08.069

M3 - Article

AN - SCOPUS:85029182191

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VL - 264

SP - 82

EP - 97

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 1

ER -

Rate of convergence for one-dimensional quasilinear parabolic problem and its applications

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Keywords

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