Abstract
We improve a result on the existence and uniqueness of a positive principal eigenvalue of a periodic parabolic equation with respect to an indefinite weight function due to Beltramo and Hess. We remove the regularity conditions on the domain and weaken considerably the regularity assumptions on the weight and the coefficients of the parabolic operator. Further we give a perturbation theorem for the principal eigenvalue which allows to perturb the domain, the coefficients of the parabolic operator and the weight simultaneously.
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Supported by a grant of the Australian Research Council.