Uniqueness of limit flow for a class of quasi-linear parabolic equations

Tatsuya Watanabe; Marco Squassina

doi:10.1515/anona-2016-0134

Uniqueness of limit flow for a class of quasi-linear parabolic equations

Tatsuya Watanabe
, Marco Squassina

Kyoto Sangyo University

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

2 Citations (Scopus)

Abstract

We investigate the issue of uniqueness of the limit flow for a relevant class of quasi-linear parabolic equations defined on the whole space. More precisely, we shall investigate conditions which guarantee that the global solutions decay at infinity uniformly in time and their entire trajectory approaches a single steady state as time goes to infinity.

Original language	English
Pages (from-to)	N/A-N/A
Journal	Advances in Nonlinear Analysis
DOIs	https://doi.org/10.1515/anona-2016-0134
Publication status	Published - 2016

Keywords

Parabolic problems
Quasilinear problems

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10.1515/anona-2016-0134

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title = "Uniqueness of limit flow for a class of quasi-linear parabolic equations",

abstract = "We investigate the issue of uniqueness of the limit flow for a relevant class of quasi-linear parabolic equations defined on the whole space. More precisely, we shall investigate conditions which guarantee that the global solutions decay at infinity uniformly in time and their entire trajectory approaches a single steady state as time goes to infinity.",

keywords = "Parabolic problems, Quasilinear problems, Parabolic problems, Quasilinear problems",

author = "Tatsuya Watanabe and Marco Squassina",

year = "2016",

doi = "10.1515/anona-2016-0134",

language = "English",

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journal = "Advances in Nonlinear Analysis",

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T1 - Uniqueness of limit flow for a class of quasi-linear parabolic equations

AU - Watanabe, Tatsuya

AU - Squassina, Marco

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AB - We investigate the issue of uniqueness of the limit flow for a relevant class of quasi-linear parabolic equations defined on the whole space. More precisely, we shall investigate conditions which guarantee that the global solutions decay at infinity uniformly in time and their entire trajectory approaches a single steady state as time goes to infinity.

KW - Parabolic problems

KW - Quasilinear problems

KW - Parabolic problems

KW - Quasilinear problems

UR - http://hdl.handle.net/10807/87012

U2 - 10.1515/anona-2016-0134

DO - 10.1515/anona-2016-0134

M3 - Article

SN - 2191-9496

SP - N/A-N/A

JO - Advances in Nonlinear Analysis

JF - Advances in Nonlinear Analysis

ER -

Uniqueness of limit flow for a class of quasi-linear parabolic equations

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Keywords

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