Schauder theory for a parabolic equation in a wedge-shaped domain

Lihe Wang; Fahuai Yi

doi:10.1016/j.camwa.2006.06.008

Back

Schauder theory for a parabolic equation in a wedge-shaped domain

Journal article

Open access

Peer reviewed

Schauder theory for a parabolic equation in a wedge-shaped domain

Lihe Wang and Fahuai Yi

Computers & mathematics with applications (1987), Vol.53(7), pp.1107-1118

2007

DOI: 10.1016/j.camwa.2006.06.008

Files and links (1)

url

https://doi.org/10.1016/j.camwa.2006.06.008View

Published (Version of record) Open Access

Abstract

In this paper we consider a linear parabolic equation in the one-dimensional case in a wedge-shaped domain Ω = { s 1 ( t ) < x < s 2 ( t ) , 0 < t < T } with s 1 ( 0 ) = s 2 ( 0 ) . The existence of a solution in C 2 + α , 1 + α / 2 space will be proved.

Schauder theory

Scaling technique

Parabolic equation

A priori estimate

Wedge-shaped domain

Details

Title: Subtitle: Schauder theory for a parabolic equation in a wedge-shaped domain
Creators: Lihe Wang - Department of Mathematics, Xi’an Jiaotong University, Xi’an, PR China
Fahuai Yi - Department of Mathematics, South China Normal University, Guangzhou 510631, PR China
Resource Type: Journal article
Publication Details: Computers & mathematics with applications (1987), Vol.53(7), pp.1107-1118
DOI: 10.1016/j.camwa.2006.06.008
ISSN: 0898-1221
eISSN: 1873-7668
Publisher: Elsevier Ltd
Language: English
Date published: 2007
Academic Unit: Mathematics
Record Identifier: 9984083816002771

Metrics

14 Record Views