Existence of solutions for parabolic equations of Kirchhoff type involving variable exponent

Yongqiang Fu; Mingqi Xiang

doi:10.1080/00036811.2015.1022153

Existence of solutions for parabolic equations of Kirchhoff type involving variable exponent

Yongqiang Fu
, Mingqi Xiang^*

^*Corresponding author for this work

School of Mathematics

Harbin Institute of Technology
Civil Aviation University of China

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

36 Scopus citations

Abstract

In this paper, we study a class of quasilinear parabolic equations involving (Formula presented.) -Laplacian operator and nonlocal term in a bounded domain, which arises from biomathematics or nonstationary fluids. Under appropriate assumptions, we obtain the local existence of weak solutions by applying Galerkin’s approximation method.

Original language	English
Pages (from-to)	524-544
Number of pages	21
Journal	Applicable Analysis
Volume	95
Issue number	3
DOIs	https://doi.org/10.1080/00036811.2015.1022153
State	Published - 3 Mar 2016

Keywords

Galerkin approximation
local existence
parabolic equation of Kirchhoff type
variable exponent space

Access to Document

10.1080/00036811.2015.1022153

Cite this

@article{42f8a750af1d46ad9b755575047c5d9c,

title = "Existence of solutions for parabolic equations of Kirchhoff type involving variable exponent",

abstract = "In this paper, we study a class of quasilinear parabolic equations involving (Formula presented.) -Laplacian operator and nonlocal term in a bounded domain, which arises from biomathematics or nonstationary fluids. Under appropriate assumptions, we obtain the local existence of weak solutions by applying Galerkin{\textquoteright}s approximation method.",

keywords = "Galerkin approximation, local existence, parabolic equation of Kirchhoff type, variable exponent space",

author = "Yongqiang Fu and Mingqi Xiang",

note = "Publisher Copyright: {\textcopyright} 2015 Taylor \& Francis.",

year = "2016",

month = mar,

day = "3",

doi = "10.1080/00036811.2015.1022153",

language = "英语",

volume = "95",

pages = "524--544",

journal = "Applicable Analysis",

issn = "0003-6811",

publisher = "Taylor and Francis Ltd.",

number = "3",

}

TY - JOUR

T1 - Existence of solutions for parabolic equations of Kirchhoff type involving variable exponent

AU - Fu, Yongqiang

AU - Xiang, Mingqi

PY - 2016/3/3

Y1 - 2016/3/3

N2 - In this paper, we study a class of quasilinear parabolic equations involving (Formula presented.) -Laplacian operator and nonlocal term in a bounded domain, which arises from biomathematics or nonstationary fluids. Under appropriate assumptions, we obtain the local existence of weak solutions by applying Galerkin’s approximation method.

AB - In this paper, we study a class of quasilinear parabolic equations involving (Formula presented.) -Laplacian operator and nonlocal term in a bounded domain, which arises from biomathematics or nonstationary fluids. Under appropriate assumptions, we obtain the local existence of weak solutions by applying Galerkin’s approximation method.

KW - Galerkin approximation

KW - local existence

KW - parabolic equation of Kirchhoff type

KW - variable exponent space

UR - https://www.scopus.com/pages/publications/84953639191

U2 - 10.1080/00036811.2015.1022153

DO - 10.1080/00036811.2015.1022153

M3 - 文章

AN - SCOPUS:84953639191

SN - 0003-6811

VL - 95

SP - 524

EP - 544

JO - Applicable Analysis

JF - Applicable Analysis

IS - 3

ER -

Existence of solutions for parabolic equations of Kirchhoff type involving variable exponent

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this