In this paper we have studied the essential self-adjointness for the differential operator of the form: T=Δ⁸+V, on sections of a Hermitian vector bundle over a complete Riemannian manifold, with the potential V satisfying a bound from below by a non-positive function depending on the distance from a point. We give sufficient condition for the essential self-adjointness of such differential operator on Riemannian Manifolds.
Due to the rising interest in healthy products, super foods such as pomegranate have spread widely on the international market in recent years. Several postharvest treatments have been applied in order to maintain the quality and extend shelf life of pomegranate arils. This study evaluated the effect of Arabic gum treatment as well as different edible coatings (Jojoba oil, Gelatin, Wheat Germ oil and Rosemary oil) on shelf life and fruit quality parameters of Wonderful pomegranate during cold storage at 5oC with 85-90% relative humidity for 45 days. Fruit characteristics, such as fruit weight, volume, firmness, and weight loss%, total juice weight and volume, total soluble solids, total acidity, ascorbic acid (Vitamin C), total anthocyanin, total sugars % and total phenols were determined periodically along a storage period of 45 days. It is clear that, all fruit characteristics were positively affected by different edible coating treatments. Pomegranate fruits coated with rosemary oil at 2% in combination with Arabic gum at 10% effectively reduced weight loss%, maintained higher firmness, fruit weight, fruit volume, juice weight and juice volume.
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