Exponential separation and principal Floquet bundles for linear parabolic equations on general bounded domains: divergence case Juraj Huska 35K1035B06exponential separationnonsmooth domainspositive entire solutionsprincipal Floquet bundle We consider the Dirichlet problem for linear nonautonomous second order parabolic equations of divergence type on general bounded domains with coefficients satisfying suitable integrability conditions. Under such minimal regularity assumptions, we establish the existence of a principal Floquet bundle exponentially separated from a complementary invariant bundle. We also prove the uniqueness of positive entire solutions in the class of solutions whose supremum norms do not grow superexponentially as time goes to negative infinity. Indiana University Mathematics Journal 2006 text pdf 10.1512/iumj.2006.55.2868 10.1512/iumj.2006.55.2868 en Indiana Univ. Math. J. 55 (2006) 1015 - 1044 state-of-the-art mathematics http://iumj.org/access/