Blow-up solutions of semilinear parabolic equations on unbounded domains of RN

Abstract

Blow-up solutions of semilinear parabolic equations (1.1) on unbounded domains of RN are considered. Applying the comparison principle, we obtain that the solutions of parabolic equations blow up as t→∞, when the parameter a≥a0 and a0 is the first eigenvalue given in (2.8).