Well-posedness of one-phase Stefan problems for sublinear heat equations

Toyohiko Aiki; Hitoshi Imai; Naoyuki Ishimura; Yoshio Yamada

doi:10.1016/S0362-546X(01)00845-8

Well-posedness of one-phase Stefan problems for sublinear heat equations

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

^*Corresponding author for this work

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

4 Citations (Scopus)

Abstract

Well-posedness of one-phase Stefan problems for sublinear heat equations was studied. Nonnegative solutions were considered because the uniqueness theorem held only for them. The global existence and uniqueness of solutions of Stefan problems were established. Results indicated that the large-time behavior of solutions of the problem was similar to that of the initial boundary value problem.

Original language	English
Pages (from-to)	587-606
Number of pages	20
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	51
Issue number	4
DOIs	https://doi.org/10.1016/S0362-546X(01)00845-8
Publication status	Published - 2002 Nov

Keywords

Green's function
One-phase Stefan problems
Sublinear heat equations
Uniqueness of solutions

ASJC Scopus subject areas

Analysis
Applied Mathematics
Mathematics(all)

Access to Document

10.1016/S0362-546X(01)00845-8

Cite this

@article{7a2cbbeb81414e14b83ce837f708658f,

title = "Well-posedness of one-phase Stefan problems for sublinear heat equations",

abstract = "Well-posedness of one-phase Stefan problems for sublinear heat equations was studied. Nonnegative solutions were considered because the uniqueness theorem held only for them. The global existence and uniqueness of solutions of Stefan problems were established. Results indicated that the large-time behavior of solutions of the problem was similar to that of the initial boundary value problem.",

keywords = "Green's function, One-phase Stefan problems, Sublinear heat equations, Uniqueness of solutions",

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

year = "2002",

month = nov,

doi = "10.1016/S0362-546X(01)00845-8",

language = "English",

volume = "51",

pages = "587--606",

journal = "Nonlinear Analysis, Theory, Methods and Applications",

issn = "0362-546X",

publisher = "Elsevier Limited",

number = "4",

}

TY - JOUR

T1 - Well-posedness of one-phase Stefan problems for sublinear heat equations

AU - Aiki, Toyohiko

AU - Imai, Hitoshi

AU - Ishimura, Naoyuki

AU - Yamada, Yoshio

PY - 2002/11

Y1 - 2002/11

N2 - Well-posedness of one-phase Stefan problems for sublinear heat equations was studied. Nonnegative solutions were considered because the uniqueness theorem held only for them. The global existence and uniqueness of solutions of Stefan problems were established. Results indicated that the large-time behavior of solutions of the problem was similar to that of the initial boundary value problem.

AB - Well-posedness of one-phase Stefan problems for sublinear heat equations was studied. Nonnegative solutions were considered because the uniqueness theorem held only for them. The global existence and uniqueness of solutions of Stefan problems were established. Results indicated that the large-time behavior of solutions of the problem was similar to that of the initial boundary value problem.

KW - Green's function

KW - One-phase Stefan problems

KW - Sublinear heat equations

KW - Uniqueness of solutions

UR - http://www.scopus.com/inward/record.url?scp=0036833093&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0036833093&partnerID=8YFLogxK

U2 - 10.1016/S0362-546X(01)00845-8

DO - 10.1016/S0362-546X(01)00845-8

M3 - Article

AN - SCOPUS:0036833093

SN - 0362-546X

VL - 51

SP - 587

EP - 606

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 4

ER -

Well-posedness of one-phase Stefan problems for sublinear heat equations

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this