Electronic Communications in Probability

Flatness of invariant manifolds for stochastic partial differential equations driven by Lévy processes

Stefan Tappe

Full-text: Open access

Abstract

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.

Article information

Source
Electron. Commun. Probab., Volume 20 (2015), paper no. 40, 11 pp.

Dates
Accepted: 5 June 2015
First available in Project Euclid: 7 June 2016

Permanent link to this document
https://projecteuclid.org/euclid.ecp/1465320967

Digital Object Identifier
doi:10.1214/ECP.v20-3943

Mathematical Reviews number (MathSciNet)
MR3358962

Zentralblatt MATH identifier
1321.60139

Subjects
Primary: 60H15: Stochastic partial differential equations [See also 35R60]
Secondary: 60G51: Processes with independent increments; Lévy processes

Keywords
Stochastic partial differential equation flatness of a submanifold stochastic invariance Lévy process with small jumps

Rights
This work is licensed under a Creative Commons Attribution 3.0 License.

Citation

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


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