Tersenov, Alkis S.2021-08-182021-08-182007-11-30Tersenov, 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. 1-6.1072-6691https://hdl.handle.net/10877/14379In 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.Text6 pages1 file (.pdf)enAttribution 4.0 InternationalSemilinear parabolic equationsA priori estimatesBlow-upSpace dimension can prevent the blow-up of solutions for parabolic problemsArticle