BLOW-UP BEHAVIOR FOR A PARABOLIC EQUATION WITH SPATIALLY DEPENDENT COEFFICIENT

TitleBLOW-UP BEHAVIOR FOR A PARABOLIC EQUATION WITH SPATIALLY DEPENDENT COEFFICIENT
Publication TypeJournal Article
Year of Publication2010
AuthorsGUO JONG-SHENQ, LIN CHANG-SHOU, SHIMOJO MASAHIKO
JournalDynamic Systems and Applications
Volume19
Start Page415
Pagination19
Date Published2010
ISSN1056-2176
Abstract

We study the initial boundary value problem and Cauchy problem for the semilinear heat equation with power nonlinearity and spatially dependent coefficient. First, for the initial boundary value problem, we establish several conditions that ensure the origin is not a blow-up point. Then the Cauchy problem for a special case is also studied. Finally, we derive the blow-up rate when the origin is not a blow-up point.
PDFhttps://acadsol.eu/dsa/articles/19/30-DSA-30-03.pdf
Refereed DesignationRefereed