... Logarithmic Sobolev inequalities, American Journal of Mathematics 97 (1975), no 4, 1061–1083 [8] A A Samarskii, V A Galaktionov, S P Kurdyumov, and A P Mikhailov, Blow-Up in Quasilinear Parabolic ... Lunardi, On the Ornstein-Uhlenbeck operator in spaces of continuous functions, Journal of Functional Analysis 131 (1995), no 1, 94–114 [5] A Friedman, Partial Differential Equations of Parabolic Type, ... 2 On the basin of zero-solutions Our motivation to study problem (1.1) is that it provides an example of semilinear parabolic equations to which the Ornstein-Uhlenbeck operator contributes...