Formulas for generalized principal Lyapunov exponent for parabolic PDEs
Janusz Mierczy\'nski, Wenxian Shen
TL;DR
This paper derives an integral formula for the generalized principal Lyapunov exponent in random linear parabolic PDEs and provides an upper bound estimate for this exponent.
Contribution
It introduces a new integral formula for the Lyapunov exponent and offers an upper estimate, advancing understanding of stability in random PDEs.
Findings
Integral formula for Lyapunov exponent derived
Upper estimate of the exponent obtained
Enhances analysis of stability in random parabolic PDEs
Abstract
An integral formula is given representing the generalized principal Lyapunov estimate for random linear parabolic PDEs. As an application, an upper estimate of the exponent is obtained.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.