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1998 Some results for second order elliptic operators having unbounded coefficients
Sandra Cerrai
Differential Integral Equations 11(4): 561-588 (1998). DOI: 10.57262/die/1367341034


By proving some estimates for the derivatives of the transition semigroup relative to a suitable stochastic equation, we prove Schauder estimates for a class of second order linear differential operators with unbounded coefficients, both in the drift and in the diffusion term. We also study asymptotic behaviour of the transition semigroup and under suitable dissipative conditions we prove existence and uniqueness of invariant measures and exponentially mixing property, uniform with respect to initial datum.


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Sandra Cerrai. "Some results for second order elliptic operators having unbounded coefficients." Differential Integral Equations 11 (4) 561 - 588, 1998.


Published: 1998
First available in Project Euclid: 30 April 2013

zbMATH: 1131.35393
MathSciNet: MR1666273
Digital Object Identifier: 10.57262/die/1367341034

Primary: 35J15
Secondary: 35B40 , 35K10 , 35R60 , 47D06 , 60H10

Rights: Copyright © 1998 Khayyam Publishing, Inc.

Vol.11 • No. 4 • 1998
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