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arXiv:1907.00337 [math.PR]AbstractReferencesReviewsResources

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

Stefan Tappe

Published 2019-06-30Version 1

The purpose of this note is to prove that the flatness of an invariant manifold for a semilinear stochastic partial differential equation driven by L\'{e}vy processes is at least equal to the number of driving sources with small jumps. We illustrate our findings by means of an example.

Comments: 10 pages
Journal: Electronic Communications in Probability 20(40):1-11, 2015
Categories: math.PR, math.FA
Subjects: 60H15, 60G51
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