journal6 ›› 2013, Vol. 34 ›› Issue (1): 11-13.DOI: 10.3969/j.issn.1007-2985.2013.01.003

• Mathematics • Previous Articles     Next Articles

Liouville Type Theorem for a Parabolic Equation Involving Pucci Operato


  1. (Department of Mathematics and Physics,North China Electric Power University,Beijing 102206,China)
  • Online:2013-01-25 Published:2013-01-22
  • About author:LIU Yong (1980-),male,was born in Jiangying,Jiangsu Province,lecturer;main research areas are nonlinear analysis and nonlinear partial differential equations.
  • Supported by:

    National Natural Science Foundation of China (11101141);Scientific Research Foundation for the Returned Overseas Chinese Scholars of the State Education Ministry;Doctoral Funding of North China Electric Power University

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

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