One-phase Stefan problems for sublinear heat equations: Asymptotic behavior of solutions

Toyohiko Aiki; Hitoshi Imai; Naoyuki Ishimura; Yoshio Yamada

One-phase Stefan problems for sublinear heat equations: Asymptotic behavior of solutions

Toyohiko Aiki^*, Hitoshi Imai, Naoyuki Ishimura, Yoshio Yamada

^*Corresponding author for this work

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

2 Citations (Scopus)

Abstract

We are interested in the asymptotic behavior of solutions to one-phase Stefan problems for sublinear heat equations with Dirichlet boundary condition. Employing some properties of solutions to the fixed boundary problem, we establish the asymptotic behavior of solutions to the free boundary one, which shows the difference feature from the superlinear case.

Original language	English
Pages (from-to)	1-15
Number of pages	15
Journal	Communications in Applied Analysis
Volume	8
Issue number	1
Publication status	Published - 2004 Jan

ASJC Scopus subject areas

Numerical Analysis

Cite this

@article{7d2ae84cbe3e4e059bad374b8bd8f41d,

title = "One-phase Stefan problems for sublinear heat equations: Asymptotic behavior of solutions",

abstract = "We are interested in the asymptotic behavior of solutions to one-phase Stefan problems for sublinear heat equations with Dirichlet boundary condition. Employing some properties of solutions to the fixed boundary problem, we establish the asymptotic behavior of solutions to the free boundary one, which shows the difference feature from the superlinear case.",

author = "Toyohiko Aiki and Hitoshi Imai and Naoyuki Ishimura and Yoshio Yamada",

year = "2004",

month = jan,

language = "English",

volume = "8",

pages = "1--15",

journal = "Communications in Applied Analysis",

issn = "1083-2564",

publisher = "Dynamic Publishers",

number = "1",

}

TY - JOUR

T1 - One-phase Stefan problems for sublinear heat equations

T2 - Asymptotic behavior of solutions

AU - Aiki, Toyohiko

AU - Imai, Hitoshi

AU - Ishimura, Naoyuki

AU - Yamada, Yoshio

PY - 2004/1

Y1 - 2004/1

N2 - We are interested in the asymptotic behavior of solutions to one-phase Stefan problems for sublinear heat equations with Dirichlet boundary condition. Employing some properties of solutions to the fixed boundary problem, we establish the asymptotic behavior of solutions to the free boundary one, which shows the difference feature from the superlinear case.

AB - We are interested in the asymptotic behavior of solutions to one-phase Stefan problems for sublinear heat equations with Dirichlet boundary condition. Employing some properties of solutions to the fixed boundary problem, we establish the asymptotic behavior of solutions to the free boundary one, which shows the difference feature from the superlinear case.

UR - http://www.scopus.com/inward/record.url?scp=10644258817&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=10644258817&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:10644258817

SN - 1083-2564

VL - 8

SP - 1

EP - 15

JO - Communications in Applied Analysis

JF - Communications in Applied Analysis

IS - 1

ER -

One-phase Stefan problems for sublinear heat equations: Asymptotic behavior of solutions

Abstract

ASJC Scopus subject areas

Other files and links

Fingerprint

Cite this