Electronic Communications in Probability
- Electron. Commun. Probab.
- Volume 20 (2015), paper no. 40, 11 pp.
Flatness of invariant manifolds for stochastic partial differential equations driven by Lévy processes
The purpose of this note is to prove that the flatness of an invariant manifold for a semilinear stochastic partial differential equation driven by Lévy processes is at least equal to the number of driving sources with small jumps. We illustrate our findings by means of an example.
Electron. Commun. Probab., Volume 20 (2015), paper no. 40, 11 pp.
Accepted: 5 June 2015
First available in Project Euclid: 7 June 2016
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Tappe, Stefan. Flatness of invariant manifolds for stochastic partial differential equations driven by Lévy processes. Electron. Commun. Probab. 20 (2015), paper no. 40, 11 pp. doi:10.1214/ECP.v20-3943. https://projecteuclid.org/euclid.ecp/1465320967