Ultraboundedness for parabolic equations in convex domains without boundary conditions

作者：Da Prato Giuseppe; Lunardi Alessandra^*

来源：Physica D: Nonlinear Phenomena , 2010, 239(15): 1453-1457.

DOI：10.1016/j.physd.2009.02.004

• Markov semigroups
• Ultraboundedness

We consider the operator Au = 1/2 Delta u - (DU, Du), where U is a convex real function defined in a convex open set O subset of R(N) and lim(vertical bar x vertical bar ->infinity) U(x) = lim(x -> ao) U(x) = +infinity. We prove that the associated Markov semigroup is ultrabounded with respect to the Gibbs measure e(-2U(x))dx.

• 出版日期2010-8-1