Providing a basic tool for studying nonlinear problems, Spectral Theory for Random and
Nonautonomous Parabolic Equations and Applications focuses on the principal spectral …

This paper is devoted to a class of nonautonomous parabolic equations of the form ut=∆ u+ f
(t, u) on RN. We consider a monotone one-parameter family of initial data with compact …

Harnack inequalities, exponential separation, and perturbations of principal Floquet
bundles for linear parabolic equations Iné Page 1 Ann. IH Poincaré – AN 24 (2007) 711–739 …

This paper is devoted to a class of nonautonomous parabolic equations of the form ut= Δu+ f
(t, u) on R^ N. We consider a monotone one-parameter family of initial data with compact …

We consider linear nonautonomous second order parabolic equations on bounded domains
subject to Dirichlet boundary condition. Under mild regularity assumptions on the …

The current paper is devoted to the investigation of asymptotic dynamics in random
Kolmogorov models. Applying the theory of principal Lyapunov exponents and the principal …

This is the third part in a series of papers concerned with principal Lyapunov exponents and
principal Floquet subspaces of positive random dynamical systems in ordered Banach …

The purpose of this paper is to investigate uniform persistence for nonautonomous and
random parabolic Kolmogorov systems via the skew-product semiflows approach. It is first …

We put forward a theory extending the notion of principal eigenfunction and principal
eigenvalue to the case of linear nonautonomous parabolic PDEs of second orderu t=∑ i, j …

We consider linear nonautonomous second order parabolic equations on RN. Under an
instability condition, we prove the existence of two complementary Floquet bundles, one …