Asymptotic behavior of sign changing solutions for some semilinear heat equations

✍ Scribed by K. Takaichi

• Publisher: Elsevier Science
• Year: 2005
• Tongue: English
• Weight: 329 KB
• Volume: 63
• Category: Article
• ISSN: 0362-546X
• DOI: 10.1016/j.na.2005.03.039

✦ Synopsis

We consider the initial-boundary value problem of some semi-linear parabolic equations with superlinear and subcritical nonlinear terms. In this paper, we consider global solutions, which could be sign changing, and estimate the dependence of upper bounds of global solutions on some norm of the initial data. Furthermore, we allow(possibly unbounded) a general domain with boundary.