Differential and Integral Equations

Some results for second order elliptic operators having unbounded coefficients

Sandra Cerrai

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text

Abstract

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.

Article information

Source
Differential Integral Equations, Volume 11, Number 4 (1998), 561-588.

Dates
First available in Project Euclid: 30 April 2013

Permanent link to this document
https://projecteuclid.org/euclid.die/1367341034

Mathematical Reviews number (MathSciNet)
MR1666273

Zentralblatt MATH identifier
1131.35393

Subjects
Primary: 35J15: Second-order elliptic equations
Secondary: 35B40: Asymptotic behavior of solutions 35K10: Second-order parabolic equations 35R60: Partial differential equations with randomness, stochastic partial differential equations [See also 60H15] 47D06: One-parameter semigroups and linear evolution equations [See also 34G10, 34K30] 60H10: Stochastic ordinary differential equations [See also 34F05]

Citation

Cerrai, Sandra. Some results for second order elliptic operators having unbounded coefficients. Differential Integral Equations 11 (1998), no. 4, 561--588. https://projecteuclid.org/euclid.die/1367341034


Export citation