| ID | 52075 |
| FullText URL | |
| Author |
Sadallah, Boubaker-Khaled
|
| Abstract | In this paper we consider the heat equation with Dirichlet
boundary conditions in a conical domain. We look for a sufficient condition
on the lateral surface of the cone in order to have the optimal
regularity of the solution in an anisotropic Sobolev space when the right
hand side of the equation is in a Lebesgue space.
|
| Keywords | Heat equation
Parabolic equation
Nonregular domain
Cone
|
| Published Date | 2014-01
|
| Publication Title |
Mathematical Journal of Okayama University
|
| Volume | volume56
|
| Issue | issue1
|
| Publisher | Department of Mathematics, Faculty of Science, Okayama University
|
| Start Page | 157
|
| End Page | 169
|
| ISSN | 0030-1566
|
| NCID | AA00723502
|
| Content Type |
Journal Article
|
| language |
English
|
| Copyright Holders | Copyright©2014 by the Editorial Board of Mathematical Journal of Okayama University
|
| File Version | publisher
|
| Refereed |
True
|
| Submission Path | mjou/vol56/iss1/12
|
| JaLCDOI |
