Large Time Behavior of Small Solutions to Dirichlet Problem for Landau-Ginzburg Type Equations

Nakao Hayashi; Naoko Ito; Elena I. Kaikina; Pavel I. Naumkin

doi:10.1619/fesi.47.479

Large Time Behavior of Small Solutions to Dirichlet Problem for Landau-Ginzburg Type Equations

Nakao Hayashi, Naoko Ito, Elena I. Kaikina, Pavel I. Naumkin

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

2 Citations (Scopus)

Abstract

We study the Dirichlet problem for nonlinear dissipative equations with two power (critical and sub-critical) nonlinearities of parabolic type on half lines. Taking the zero boundary conditions into consideration, we present a sufficient condition which gives sharp time asymptotics of small solutions.

Original language	English
Pages (from-to)	479-497
Number of pages	19
Journal	Funkcialaj Ekvacioj
Volume	47
Issue number	3
DOIs	https://doi.org/10.1619/fesi.47.479
Publication status	Published - 2004
Externally published	Yes

Keywords

Dirichlet problem
Dissipative nonlinear evolution equation
Landau-Ginzburg equation
Large time asymptotics

ASJC Scopus subject areas

Analysis
Algebra and Number Theory
Geometry and Topology

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10.1619/fesi.47.479

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title = "Large Time Behavior of Small Solutions to Dirichlet Problem for Landau-Ginzburg Type Equations",

abstract = "We study the Dirichlet problem for nonlinear dissipative equations with two power (critical and sub-critical) nonlinearities of parabolic type on half lines. Taking the zero boundary conditions into consideration, we present a sufficient condition which gives sharp time asymptotics of small solutions.",

keywords = "Dirichlet problem, Dissipative nonlinear evolution equation, Landau-Ginzburg equation, Large time asymptotics",

author = "Nakao Hayashi and Naoko Ito and Kaikina, {Elena I.} and Naumkin, {Pavel I.}",

year = "2004",

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AU - Hayashi, Nakao

AU - Ito, Naoko

AU - Kaikina, Elena I.

AU - Naumkin, Pavel I.

PY - 2004

Y1 - 2004

N2 - We study the Dirichlet problem for nonlinear dissipative equations with two power (critical and sub-critical) nonlinearities of parabolic type on half lines. Taking the zero boundary conditions into consideration, we present a sufficient condition which gives sharp time asymptotics of small solutions.

AB - We study the Dirichlet problem for nonlinear dissipative equations with two power (critical and sub-critical) nonlinearities of parabolic type on half lines. Taking the zero boundary conditions into consideration, we present a sufficient condition which gives sharp time asymptotics of small solutions.

KW - Dirichlet problem

KW - Dissipative nonlinear evolution equation

KW - Landau-Ginzburg equation

KW - Large time asymptotics

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Large Time Behavior of Small Solutions to Dirichlet Problem for Landau-Ginzburg Type Equations

Abstract

Keywords

ASJC Scopus subject areas

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