Space dimension can prevent the blow-up of solutions for parabolic problems
Tersenov, Alkis S.
Texas State University-San Marcos, Department of Mathematics
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.
Semilinear parabolic equations, A priori estimates, Blow-up
Tersenov, A. S. (2007). Space dimension can prevent the blow-up of solutions for parabolic problems. <i>Electronic Journal of Differential Equations, 2007</i>(165), pp. 1-6.