Subcritical nonlinear heat equation

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

doi:10.1016/j.jde.2007.04.007

Subcritical nonlinear heat equation

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

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

3 Citations (Scopus)

Abstract

We study asymptotic behavior in time of small solutions to nonlinear heat equations in subcritical case. We find a new family of self-similar solutions which change a sign. We show that solutions are stable in the neighborhood of these self-similar solutions.

Original language	English
Pages (from-to)	366-380
Number of pages	15
Journal	Journal of Differential Equations
Volume	238
Issue number	2
DOIs	https://doi.org/10.1016/j.jde.2007.04.007
Publication status	Published - 2007 Jul 15
Externally published	Yes

ASJC Scopus subject areas

Analysis
Applied Mathematics

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title = "Subcritical nonlinear heat equation",

abstract = "We study asymptotic behavior in time of small solutions to nonlinear heat equations in subcritical case. We find a new family of self-similar solutions which change a sign. We show that solutions are stable in the neighborhood of these self-similar solutions.",

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

note = "Funding Information: This work of P.I.N. and E.I.K. is partially supported by CONACYT.",

year = "2007",

month = jul,

day = "15",

doi = "10.1016/j.jde.2007.04.007",

language = "English",

volume = "238",

pages = "366--380",

journal = "Journal of Differential Equations",

issn = "0022-0396",

publisher = "Academic Press Inc.",

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T1 - Subcritical nonlinear heat equation

AU - Hayashi, Nakao

AU - Kaikina, Elena I.

AU - Naumkin, Pavel I.

N1 - Funding Information: This work of P.I.N. and E.I.K. is partially supported by CONACYT.

PY - 2007/7/15

Y1 - 2007/7/15

N2 - We study asymptotic behavior in time of small solutions to nonlinear heat equations in subcritical case. We find a new family of self-similar solutions which change a sign. We show that solutions are stable in the neighborhood of these self-similar solutions.

AB - We study asymptotic behavior in time of small solutions to nonlinear heat equations in subcritical case. We find a new family of self-similar solutions which change a sign. We show that solutions are stable in the neighborhood of these self-similar solutions.

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UR - http://www.scopus.com/inward/citedby.url?scp=34250018603&partnerID=8YFLogxK

U2 - 10.1016/j.jde.2007.04.007

DO - 10.1016/j.jde.2007.04.007

M3 - Article

AN - SCOPUS:34250018603

VL - 238

SP - 366

EP - 380

JO - Journal of Differential Equations

JF - Journal of Differential Equations

SN - 0022-0396

IS - 2

ER -

Subcritical nonlinear heat equation

Abstract

ASJC Scopus subject areas

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