Electronic Journal of Differential Equations,
Vol. 2007(2007), No. 165, pp. 1-6.

Title: Space dimension can prevent the blow-up of
       solutions for parabolic problems

Author: Alkis S. Tersenov (Univ. of Crete, Greece)

Abstract: 
 In the present paper, we investigate the preventive role of space
 dimension for semilinear parabolic problems. Conditions guaranteeing
 the absence of the blow-up of the solutions are formulated.
  
Submitted May 16, 2007. Published November 30, 2007.
Math Subject Classifications: 35K57.
Key Words: Semilinear parabolic equations; a priori estimates; blow-up.