Blow-up estimates for a semilinear coupled parabolic system

✍ Scribed by Gang Li; Ping Fan; Jiang Zhu

• Publisher: Elsevier Science
• Year: 2009
• Tongue: English
• Weight: 424 KB
• Volume: 22
• Category: Article
• ISSN: 0893-9659
• DOI: 10.1016/j.aml.2009.01.046

✦ Synopsis

This work deals with a semilinear parabolic system which is coupled both in the equations and in the boundary conditions. The blow-up phenomena of its positive solutions are studied using the scaling method, the Green function and Schauder estimates. The upper and lower bounds of blow-up rates are then obtained. Moreover we show the influences of the reaction terms and the boundary absorption terms on the blow-up estimates.