Formulas for generalized principal Lyapunov exponent for 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.

13 pages. This is a final version, following peer review

References in corpus (2)

• Principal Lyapunov exponents and principal Floquet spaces of positive random dynamical systems. I. General theory
• Principal Lyapunov exponents and principal Floquet spaces of positive random dynamical systems. III. Parabolic equations and delay systems