Abstract: One classical result for the superlinear parabolic equation involving Laplacian operator is the Liouville type theorem.Due to the importance of these kind of theorems,the Liouville type theorem for parabolic equation involving Pucci’s operator is studied in this paper.When the space variable is one dimensional,it is relatively easy to analyze the Pucci operator.The main result of this paper states that in this case,the corresponding equation does not have global positive bounded solution.

Key words: Pucci operator, global solution, Liouville type theorem