An intrinsic metric approach to uniqueness of the positive Cauchy - Neumann problem for parabolic equations

Kazuhiro Ishige

doi:10.1016/S0022-247X(02)00449-3

An intrinsic metric approach to uniqueness of the positive Cauchy - Neumann problem for parabolic equations

Kazuhiro Ishige

理学研究科・数学専攻

研究成果: Article › 査読

7 被引用数 (Scopus)

抄録

We study uniqueness of nonnegative solutions of the Cauchy-Neumann problem for parabolic equations in unbounded domains, and give a sufficient condition for the uniqueness of nonnegative solutions to hold. We also give a parabolic Harnack inequality with Neumann boundary conditions.

本文言語	English
ページ（範囲）	763-790
ページ数	28
ジャーナル	Journal of Mathematical Analysis and Applications
巻	276
号	2
DOI	https://doi.org/10.1016/S0022-247X(02)00449-3
出版ステータス	Published - 2002 12 15

ASJC Scopus subject areas

分析
応用数学

文献へのアクセス

10.1016/S0022-247X(02)00449-3

他のファイルとリンク

引用スタイル

@article{a5b05c834d9c49cd84e17c8d816f047f,

title = "An intrinsic metric approach to uniqueness of the positive Cauchy - Neumann problem for parabolic equations",

abstract = "We study uniqueness of nonnegative solutions of the Cauchy-Neumann problem for parabolic equations in unbounded domains, and give a sufficient condition for the uniqueness of nonnegative solutions to hold. We also give a parabolic Harnack inequality with Neumann boundary conditions.",

author = "Kazuhiro Ishige",

year = "2002",

month = dec,

day = "15",

doi = "10.1016/S0022-247X(02)00449-3",

language = "English",

volume = "276",

pages = "763--790",

journal = "Journal of Mathematical Analysis and Applications",

issn = "0022-247X",

publisher = "Academic Press Inc.",

number = "2",

}

TY - JOUR

T1 - An intrinsic metric approach to uniqueness of the positive Cauchy - Neumann problem for parabolic equations

AU - Ishige, Kazuhiro

PY - 2002/12/15

Y1 - 2002/12/15

N2 - We study uniqueness of nonnegative solutions of the Cauchy-Neumann problem for parabolic equations in unbounded domains, and give a sufficient condition for the uniqueness of nonnegative solutions to hold. We also give a parabolic Harnack inequality with Neumann boundary conditions.

AB - We study uniqueness of nonnegative solutions of the Cauchy-Neumann problem for parabolic equations in unbounded domains, and give a sufficient condition for the uniqueness of nonnegative solutions to hold. We also give a parabolic Harnack inequality with Neumann boundary conditions.

UR - http://www.scopus.com/inward/record.url?scp=0037115968&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0037115968&partnerID=8YFLogxK

U2 - 10.1016/S0022-247X(02)00449-3

DO - 10.1016/S0022-247X(02)00449-3

M3 - Article

AN - SCOPUS:0037115968

VL - 276

SP - 763

EP - 790

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

SN - 0022-247X

IS - 2

ER -

An intrinsic metric approach to uniqueness of the positive Cauchy - Neumann problem for parabolic equations

抄録

ASJC Scopus subject areas

文献へのアクセス

他のファイルとリンク

フィンガープリント

引用スタイル