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  • Research Article
  • Open Access

On basin of zero-solutions to a semilinear parabolic equation with Ornstein-Uhlenbeck operator

Journal of Inequalities and Applications20062006:52498

  • Received: 27 April 2005
  • Accepted: 10 July 2005
  • Published:


We consider the basin of the zero-solution to a semilinear parabolic equation on with the Ornstein-Uhlenbeck operator. Our aim is to show that the Ornstein-Uhlenbeck operator contributes to enlargement of the basin by using the logarithmic Sobolev inequality.


  • Parabolic Equation
  • Sobolev Inequality
  • Logarithmic Sobolev Inequality


Authors’ Affiliations

Department of Mathematics, Toyama University, Toyama 930-8555, Japan


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© Yasuhiro Fujita. 2006

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