On periodic solutions of a semilinear hyperbolic parabolic equation

Mitsuhiro Nakao, Hisako Kato

Research output: Contribution to journalArticle

Abstract

Uniqueness and regularity of periodic solutions to the semilinear dissipative wave equation with small parameter [formula omitted] > 0, [formula omitted] are investigated when g(u) has a certain ‘critical’ nonlinearity.

Original languageEnglish
Pages (from-to)245-261
Number of pages17
JournalBulletin of the Australian Mathematical Society
Volume46
Issue number2
DOIs
Publication statusPublished - 1992
Externally publishedYes

Fingerprint

Hyperbolic Equations
Semilinear
Parabolic Equation
Periodic Solution
Dissipative Equations
Small Parameter
Wave equation
Uniqueness
Regularity
Nonlinearity

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

On periodic solutions of a semilinear hyperbolic parabolic equation. / Nakao, Mitsuhiro; Kato, Hisako.

In: Bulletin of the Australian Mathematical Society, Vol. 46, No. 2, 1992, p. 245-261.

Research output: Contribution to journalArticle

Nakao, Mitsuhiro ; Kato, Hisako. / On periodic solutions of a semilinear hyperbolic parabolic equation. In: Bulletin of the Australian Mathematical Society. 1992 ; Vol. 46, No. 2. pp. 245-261.
@article{23c60fa5d25c4b87b75a049827a9d3ce,
title = "On periodic solutions of a semilinear hyperbolic parabolic equation",
abstract = "Uniqueness and regularity of periodic solutions to the semilinear dissipative wave equation with small parameter [formula omitted] > 0, [formula omitted] are investigated when g(u) has a certain ‘critical’ nonlinearity.",
author = "Mitsuhiro Nakao and Hisako Kato",
year = "1992",
doi = "10.1017/S0004972700011874",
language = "English",
volume = "46",
pages = "245--261",
journal = "Bulletin of the Australian Mathematical Society",
issn = "0004-9727",
publisher = "Cambridge University Press",
number = "2",

}

TY - JOUR

T1 - On periodic solutions of a semilinear hyperbolic parabolic equation

AU - Nakao, Mitsuhiro

AU - Kato, Hisako

PY - 1992

Y1 - 1992

N2 - Uniqueness and regularity of periodic solutions to the semilinear dissipative wave equation with small parameter [formula omitted] > 0, [formula omitted] are investigated when g(u) has a certain ‘critical’ nonlinearity.

AB - Uniqueness and regularity of periodic solutions to the semilinear dissipative wave equation with small parameter [formula omitted] > 0, [formula omitted] are investigated when g(u) has a certain ‘critical’ nonlinearity.

UR - http://www.scopus.com/inward/record.url?scp=84971795802&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84971795802&partnerID=8YFLogxK

U2 - 10.1017/S0004972700011874

DO - 10.1017/S0004972700011874

M3 - Article

AN - SCOPUS:84971795802

VL - 46

SP - 245

EP - 261

JO - Bulletin of the Australian Mathematical Society

JF - Bulletin of the Australian Mathematical Society

SN - 0004-9727

IS - 2

ER -