The principal Floquet bundle and exponential separation for linear parabolic equations

DOI10.1007/s10884-004-2784-8zbMath1128.35353OpenAlexW2072015315MaRDI QIDQ1768353

Juraj Húska, Peter Poláčik

Publication date: 15 March 2005

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10884-004-2784-8

zbMATH Keywords

Dirichlet boundary conditionpositive entire solutionsnonautonomous parabolic equations

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) General topics in linear spectral theory for PDEs (35P05)

Related Items (12)

Generic behavior of flows strongly monotone with respect to high-rank cones ⋮ Principal Floquet subspaces and exponential separations of type II with applications to random delay differential equations ⋮ The principal Floquet bundle and the dynamics of fast diffusing communities ⋮ Exponential separation and principal Floquet bundles for linear parabolic equations on general bounded domains: Nondivergence case ⋮ Persistence in forward nonautonomous competitive systems of parabolic equations ⋮ On random linear dynamical systems in a Banach space. I: Multiplicative ergodic theorem and Krein-Rutman type theorems ⋮ Variational principle for spreading speeds and generalized propagating speeds in time almost periodic and space periodic KPP models ⋮ Competitive exclusion in phytoplankton communities in a eutrophic water column ⋮ Nonlocal dispersal equations with almost periodic dependence. I. Principal spectral theory ⋮ Classification of Bifurcations of Quasi-Periodic Solutions Using Lyapunov Bundles ⋮ Principal Lyapunov exponents and principal Floquet spaces of positive random dynamical systems. I. General theory ⋮ \(K\)-dimensional invariant cones of random dynamical systems in \(\mathbb{R}^n\) with applications

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